Hey, try adding a hallucination-testing question. Here's one I suggested the other day: "Describe each of the following mango cultivars: 'Alphonso", "Carrie", "Lemon Cream", "Kent"" (there's no mango cultivar called "Lemon Cream")
@@karenrobertsdottir4101 I tested it, it hallucinated The Lemon Cream mango is a relatively new and intriguing cultivar that has caught the attention of mango enthusiasts. As the name suggests, it is noted for its creamy texture and a unique flavor that combines the sweetness of traditional mangoes with a zesty, lemon-like undertone...
can you ask this question A certain number of boxes are placed one above the other in a stack. Each box contains different number of coins. Information about only a few boxes is known Only one box is placed between box E and box B. Three boxes are placed between box E and box C, which contains 12 coins. Only one box is placed between the box which contains 11 coins and box C, which is placed above the box which contains 11 coins. As many boxes placed between box B and the box which contains 11 coins is same as between box E and the box which contains 21 coins. The box which contains 21 coins is placed below box E. Box F is placed five places above the box which contains 21 coins. Only two boxes are placed between box F and the box which contains 14 coins. Not more than five boxes are placed above the box which contains 14 coins. As many boxes placed above box F as below the box which contains 9 coins- Only one box is placed between the box which contains 14 coins and the box which contains 9 coins. The box which contains 9 coins is placed exactly between box B and box G. Not more than two boxes are placed below G. Answer :- (------ = gap space) -------- B -------- E - 14 -------- 9 F C - 12 ------- G - 11 ------- 21
Now that you know that OpenAI watches your videos, you can safely assume that your questions are part of LLMs. You should probably begin to add some "randomness" into your questions to still ask the same thing but prevent from hitting exact training data ;) Like the envelope question, play around with the sizes and metrics.
Have a collection of structurally new questions. When llm train on your past q&a, it can abstract. So you need structurally different questions to test it. The next questions to ask is that does llm collect new facts/training data, or really think? When it gives the appearance of thinking, is it really? Is llm functionally designed to "think" , or merely outputting tokens that resemble thinking process?
For the North Pole question, I think the discussion is around what is considered to be the starting point. One starting point is on the North Pole, but you can also start counting from the point where you 'Walk as far as it takes'. If you take the latter, the model gives answer 2 correctly.
Exactly, glad to find this comment here, it's obvious the answer has an ambiguity in how to interpret it, which has to do exactly with what you just explained. We should either make clear the intended interpretation, or evaluate the model based on whether it correctly assesses the answer to whatever interpretation it ends up taking. Of course Yann LeCun is right, no LLM will ever reliably get the answer he expects, but it's not just any LLM but any form of intelligence whatsoever (as you ask the question to different instantiations of whatever intelligence form because of course a single instanciation can reliably give the same answer perpetually). The problem is with the way the question is worded, easy to make such a bold confident claim then. It's simple, just say "now walk in a straight line until you return to the North Pole", now it's clear.
Agree totally that it's very logical to start measuring from that point. But if you walk in a straight line you'd walk the full circumference of the earth, so unfortunately it's still the wrong answer. If you visualise turning 90 degrees at 1 metre from the pole, it becomes pretty obvious that you'd have to be constantly turning left to walk the path of a latitude ring.
Actually, I believe the correct answer is three, it could only be two pi km if it were not a sphere. Walking the outside of a sphere would be less and I don’t believe it could ever be greater because you would somehow have to modify pi or traveled greater than 1km in the straight line.
You should ask the north pole question but note in the prompt whether the north pole or the turning point is the "starting point". Right now its ambiguous and could be interpreted either way.
It's more interesting like that Becasue agi should be able to understand why the question is interesting (meridian vs latitude) and answer it correctly. Including why he chose that interpretation.
@@IddoZiv1 sure but if you asked it to explain why it chose the interpretation it did, I'm sure it would. Right now it's choosing it's interpretation in its chain of thought but not explaining in the answer. I think you either need to specify the starting point or ask it to explain it's assumption about the starting point if you want to be able to make a definitive call as to whether it got it "right" or not. If people can't agree on what the right answer is how can we say the model is right or wrong
It doesn't matter which point you consider to be the starting point. Because after you turn and then keep going straight, you are led to the South Pole. Afterwards you will go north again and come close to the North Pole. There is a point on the path that comes closest to the North Pole. The distance walked to get to this point is asked.
@@OrbitTheSun if it considers a straight line to be following the line of latitude, which in the code visualization appears to be what it's doing, then you would never touch the south pole, you would circumnavigate the earth at that latitude and end up back at the point where you made the turn.
You are wrong about the North Pole question. The question is not when it will pass the initial point but when it will pass the turning point. Yann LeCun: “Imagine standing at the North Pole of the Earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left. Walk in a straight line for as long as it takes to pass near the point where you turned.”
Either way the answer is wrong. You will never pass the north pole again and you will walk entirely around earth and not 6.28...km. Just think about this on a smaller scale, if you would go south from the north pole 2 meters, then turn left 90 degrees, you would look east. However when you start walking you would not go around in circles around the north pole. You would go one time around the entire earth. This is the same thing anywhere on earth.
I think the problem is "starting point" is ambiguous. It could be the North Pole itself or the point where you stopped after walking for 1 km in a straight line in any direction. Like Matt, I originally interpreted it as referring to the North Pole, which would make option 4 the correct one.
@@fabianletsch1354 there is so much debate over this question. I’ve seen so many explanations and answers. It shows that it is certainly not a straight forward question. Probably it is not specific enough. There is too much room for interpretation.
@@fabianletsch1354 VoodooParadox2513 is correct. Starting point is ambigious, if you rephrase the question it will get it correct. You need to clarify starting point is North Pole. Also don't allow it any additional direction changes after the 90 degree left turn. Other wise it turns you back and adds the 1 km to the total. I just tried with a more specific question and it gets it right. At no point does that question say you can't turn.
Conclusion: add specificity of what you mean by starting point, and clarify the question to disambiguate between “will you cross the starting point” and “how long until you cross the starting point”
I agree but it's not "his" question these are well known benchmarks for LLMs that he popularized through his LLM benchmark. I would've imagined OpenAI would've been more creative but they ended up using the same concepts
Why test with pre-existing tests? Isn’t it assumed at this point that new models will be (secretly or openly) trained using data from UA-cam channels and other sources of tests like this?
The idea is to be able to compare the models. He could and should change the numbers, but if the models were trained on his questions that might not be enough to avoid false positives.
Also the first tetris code question is literally a copy and paste solution. You can google it and immediately find that answer. I don't get the point of the test, the code itself is probably already in the training data
6:47 I believe the correct answer depends on how you interpret the 'starting point.' Since it is not explicitly stated in the question, I understand why one might interpret it as being after walking 1 km.
@@kittengray9232 'It's explicitly saying "starting at the North Pole" ' Have you actually watched the video? It unequivocally never says that, you're either blatantly lying or ignorant of what you're making a confident claim about. The question begins with "Standing at the North Pole", that's what it says. And even if it did say "starting at the North Pole", the interpretation the AI took is still justifiable. Whatever path you took initially, if the last part of your trajectory is "now walk in a straight line until x happens", it will always make sense to interpret that as you now being at a new path start where you continue until the x condition is met, it's a loop process and every loop process has its own starting point. And what's more, the model actually clearly announces what it interprets is the starting point we're talking about, to take that as a "proof" the AI doesn't understand geometry is completely ridiculous. In any case, if you have any modicum of good faith about it you have to admit the way the question is worded can much too easily be interpretated in more than one way, which makes the question stupid. A question should never rely on lack of clarity for it to be difficult to answer. If one actually wants to test whether the AI or anyone understands the geometry of the problem, it's really simple, just ask "now walk in a straight line until you hit the North Pole". It's the same question, except now it's actually clear what's being asked.
@@kittengray9232 No, it doesn't. It says "Imagine standing at the North Pole of earth." then walking, then turning etc. It's not clear what exactly the starting point is. The question implies you might hit your starting point by walking straight and considering that there are "2*Pi km" answers (implying you calculate the circumeference of a circle), it makes more sense to consider the turning point as the starting point - otherwise it's just a trick question. On a flat earth the answer "exactly 2*Pi km" would be correct, but on a curved earth where you walk on a curved path for 1km instead of a straight path you won't go as far in that spacial dimension and thus end up with a circle of less than 1km radius, therefore the "less than 2*Pi km" answer would be correct. Another commenter has said that the inventor of this problem said you need more than language based reasoning to solve this, which is only the case if it's not a trick question where the starting point is the North pole. You need spatial reasoning to come to the other conclusions.
Sorry, 7:14 - the starting point is 1km south of the north pole. You stood on the north pole, walked 1km away from it - that is south. ANY direction is south. So, then you walk a circle of latitude 1km south of the north pole, sorry. The AI was right.
About the north pole question, there are two versions of the question out there. One asking if you return to the starting point, and one asking if you return to the turning point. The original question (turning point) is a trick question in geometry and the answer is that if you start walking in a straight line on a sphere you always return to your starting point (that the source of the two versions confusion). In addition every straight path on a sphere is a full loop around, so it's way more then 2pi kilometers. Please please use the correct wording and retest the models. It's also actually only a trivia question and not really a logic question (unless you are in a class and just learning 3d geometry for the first time.)
It's a Trick question... North Pole is the start.... if you go in a straight line 1 mile south.. then turn 90% and start walking how far will you go... well.. you just turn another 90% and go 1km north. (doesn't say you can't turn and it states you Can walk)
@@bestemusikken Nope. Not per screen shot. Stand on the north pole, walk 1km in any direction (south), turn 90 degree. THEN walk along the circumference and measure how long you walk. By that the starting point is not the north pole.
@@tnt_explorers954 But if you read it, you start counting 1km off the north pole. If it is a trick question - it is very tricky and measures language trick more than understanding of math.
2 місяці тому+55
6:35 Dude, LeCun didn't say the models cannot get this right. Second time I'm commenting this. He says that the mental process you use to respond this question has nothing to do with language, therefore we're missing a key component if the target is AGI.
@@matthew_berman6:31 The reason is that you need to imagine yourself actually doing it, and realise that it's a trick question because 2pi kilimeter is a radius of a relatively small circle, and it won't feel like walking straight. Imagine if the question was about one meter.
The problem with LeCun is that he stated he doesn't have an internal monologue. Many people don't. So I don't think he really understands the concept of using words to think.
That makes more sense to me now. You have to consider a 3D model of earth in order to solve this (if you take the turning point as the "starting point" otherwise it's just a trick question). In the video the LLM only uses flat-earth geometry which gives you exactly 2*Pi as an answer. Considering that the 1km of walking is partly down in the third dimension will result in a new circle with less than 1km radius and thus a circumference of less than 2*Pi km. I'm not good enough at geometry to figure out how much less, but it's clearly less. TL;DR yeah, you need spatial reasoning in order to solve that. Language ain't enough.
Walking in a straight line on a sphere will be a path around the centre of the sphere. So how ever you interpret the question when you turn 90 degrees you do not end up walking east indefinitely, you will enter a near polar orbit that will eventually but nearly south facing and the at some point north facing. But it will never cross the pole. Nor will it go around the pole at 1 km from the pole. The latter means walking in circle and turning continuously to stay at 1 km from the pole.
On your north pole example, even I considered the 1km south of the north pole as the starting position. If you intend for the north pole to be your starting position, then I would start the question with something like "Imagine you are standing at the north pole of the Earth as your starting position ..."
Remember: you can pass a point even if you don't reach it. That's why you can pass the North Pole again after circling the earth. At this same moment you will pass the point where you turned east. That's why it doesn't matter which point you consider to be the starting point.
@@rogeriopenna9014 streight line on the globe or earth is not a geometrical (trigonometrical) sense, but a context of going straight. So that go along circle is correct reasoning in the current context
@@dufifa No, because the arc you suggest is completely arbitrary and cannot be followed naturally. Not even a compass can help you, because it doesn't work at the North Pole. You could walk any other radius you like and, for example, walk in an arc to the North Pole. Then you would be at the starting point!
Your walk from the North Pole example is actually simple: if you walk ANY distance (even 1 meter) from the pole, turn left 90 degrees and then walk straight then (on a theoretically perfect sphere which the earth is not) you will always be walking away from your starting point. And you will always travel the full circumference of the sphere before reaching it. This assumes a perfect sphere and a perfectly straight line. It's easy to see if you make it a 1 meter initial walk. Turning 90 degrees after 1 meter you will be facing "absolute west" but traveling in a straight line will take you south of west. This is because walking perfectly west would keep you 1 meter from the pole, but you'll be circumnavigating that pole in a very small circle as seen from above the pole. To walk "straight" clearly means to traverse the sphere across the surface that will most closely approximate a line. That line will always be one that divides the sphere in half - hence the full circumference of the earth sphere. (If you want to get really picky, a perfectly straight line will travel away from the sphere into space inifinitely, always diverging from the pole, but that's clearly not what is implied by the question.) So the correct answer was not in the choices... the best practical answer is: the circumference of the entire earth as measured from the starting point and the vector created by the initial direction of the walker. This will vary significantly base on the starting point because a) earth is not a perfect sphere and b) a perfect hemisphere cannot therefore be created due to a). So it would also be correct to say you might never cross the starting point due to these earth imperfections.
The requirement is not that you cross the starting point, but that you pass it. This is the clue to the solution, as you can now pass the North Pole as the starting point as required, after you have circled the earth once.
Yes, build a neverending RED TEAM of other o1 machines all trying to stump each other! Adversarial training! Use every MENSA brain teaser in the universe.
I think the model do understand correctly the situation of the question of walking from the north pole. The model wrongly interpreting the "starting point" as the "starting point on the circle". It will be interesting to give the model a hint in the prompt such as "the starting point is at the north pole" so there won't be a confusion there.
No. The model is confused between rotating 90º, and rotating towards east. Also is confused between walking along a latitude circle, and walking in straight line. The only latitude circle with is "straight" is the equator. At 1 meter from the north pole, the latitude is a circle with a radius of 1 meter.
Hello Math! the model actually provided the right answer. As a master's degree physics student, I can confirm that the response is accurate if we consider the starting point to be the point where the man turned 90 degrees. This interpretation aligns well with the problem, and I initially thought this was the intended question. While the model may have given the answer without detailing the steps-such as assuming the radius `r` of the circle the man is walking on is 1 kilometer-the conclusion is still correct. Let's break down the reasoning step by step: ### Understanding the Relationship Between Latitude and Radius: The Earth's radius is denoted as `R_T`, and the colatitude (the angle from the North Pole) is `θ`. The radius `r` of the circle at that latitude is given by: ``` r = R_T * sin(θ) ``` Since the man starts near the North Pole, `θ` is very small. For small angles measured in radians, `sin(θ) ≈ θ`. Therefore, the equation simplifies to: ``` r = R_T * θ ``` ### Calculating the Angle `θ`: The man walks 1 kilometer south from the North Pole. The arc length `s` along the Earth's surface is related to the central angle `θ` by: ``` s = R_T * θ ``` Substituting the distance walked: ``` 1 km = R_T * θ ``` Solving for `θ`: ``` θ = 1 km / R_T ``` ### Determining the Radius `r` of the Circle: Using the value of `θ` in the simplified radius equation: ``` r = R_T * θ = R_T * (1 km / R_T) = 1 km ``` So, the radius of the circle the man is walking on after turning 90 degrees is 1 kilometer. ### Calculating the Circumference `C` of the Circle: The circumference of a circle is given by: ``` C = 2πr ``` Substituting `r = 1 km`: ``` C = 2π × 1 km = 2π km ``` This means the man needs to walk `2π` kilometers to complete the circle and return to his starting point after turning 90 degrees. As you see, the model's answer of `2π` kilometers is correct. Although it may not have provided all the intermediate steps, the conclusion is accurate.
unfortunately that isn't the case. Nobody knows if it is on purpose but the wording of the question would benefit from a few clarifications. 1. nowhere it is written you should correct your course to continue eastward after your 90 degrees turn. Imagine it would be 10m instead of 1km. You would need to correct your direction basically every step. The only instruction given about manner of your walk is to walk straight. Thus you would walk the full circumference of the Earth. 2. Even if there was specified you must correct your direction to always continue eastward (which it doesn't), while θ is small it is non zero. so answering 2π km could still be considered worse option than simply picking less than 2π km. 3. Finally there is discussion what should be considered as a starting point. With good arguments for both North pole and turning point. In a case starting point is the North Pole then the correct answer would be the option it never reach the starting point again. On every circle it will only get as close as 1km from it but no closer. Either case your choice is never the best option meaning o1 didn't provide right answer on this particular questoin. As said this question should be fixed. Or maybe it is created as such so model should provide reasoning for multiple options and thus prove it can deeply analyse the question despite its poor quality.
Yep a fail. I think the correct assumption should be that the starting place is the beginning of the excercize. Most humans would assume that we are following a latitude which is a type of straight line.
The North Pole question is a matter of semantics, context and imprecise language in the question which the model is failing to fully analyse, recognise and then produce alternative answers for, depending on which is the correct interpretation of the question. It would be interesting to see how these models can handle (imprecise) questioning in other human languages which may or may not be more precise in meaning depending on words used e.g. "eskimo" having so many specific words for different types of snow. Other languages have and don't have precise equivalents to English ones for conditions, experiences, feelings, etc. Likewise English does not have equivalents to words used in so many other languages e.g. Chinese, Korean, Russian, African languages, Pacific ones, South American, etc.
The one wrong question could be considered a trick question I think. It is blindingly obvious, even to an LLM I suggest, that you will never return to the north pole. IMO the implied question - which it decided to answer is how far you will walk until you reach the same point on the latitude line as you started from. I would say the answer is acceptable.
Edit: better start = stand up and actually imagine doing that, maybe with 10 meters instead of a kilometre. Llm can't visualise geometry like that. If you can't, just actually do that by imagining the pole is where you stand now. The longer rumble: About the north pole question, there are two versions of the question out there. One asking if you return to the starting point, and one asking if you return to the turning point. The original question (turning point) is a trick question in geometry and the answer is that if you start walking in a straight line on a sphere you always return to your starting point (that the source of the two versions confusion). In addition every straight path on a sphere is a full loop around, so it's way more then 2pi kilometers. Please please use the correct wording and retest the models. It's also actually only a trivia question and not really a logic question (unless you are in a class and just learning 3d geometry for the first time.)
He is correct. I used a more accurate version of the prompt and he correctly identified that it would not be possible to return to the starting position (not the position from where he made the 90 degree turn). Here it is:
Consider the following problem: I start exactly at the North Pole (Position 1). I turn exactly south and walk 1 km (Direction 1), arriving at Position 2. I then turn exactly 90 degrees and begin walking in that direction (Direction 2). How far do I need to walk in Direction 2 to return to Position 1?
I may possibly be missing something in your north pole circumference question. But I'm pretty sure it actually nailed it. If you start at the north pole and walk 1 I'm in any direction you will absolutely be 1 km south of the north pole. The only direction available to you at the north pole is south as all directions will take you away from the north pole at a 90 degree angle. Now if you turn 90 degrees yourself you will be facing east or west. If this is our starting point then walking in a straight line will eventually take us back to the same spot. So all that is needed is to calculate the circumference of a circle 1 km south of the north pole. However. If you meant the north pole is our starting point then once we make our 90 degree turn we are always equidistant from that point. You should clarify which point is your starting point cause I'm pretty sure chat nailed this question. Again I probably missed some key point that makes everything I just said very stupid. So sorry in advance if that is the case
If you walk in a straight line. It doesn't matter what you did before walking. You will always end up crossing your original point by walking the circumference of the earth. If your prior steps situated you outside that path, then you will never cross those points.
The marble question is a text version of the ARC-AGI visual problems: they both depend on physical intuition. Yann harps on the same thing…it’s hard to get physical intuition when training only on text. This won’t be hard for models once they also train on video (so O1 + Sora)
I think the LLM's misinterpret the North Pole question. Is the starting point the North Pole, or does it use the point at which you start walking in a loop as the starting point? Like if you ran in a marathon, your starting position isn't your house... i.e. your starting point is your house, you travel 1km to the marathon course, then run the marathon... one would logically assume the starting point becomes the start of the marathon. Renaming each point in the NP question to Position 1, Position 2, etc, would likely remove any misinterpretations.
A spider stands at any point on a sphere that has a 10m circumference and walks in a straight line until it gets back to its starting point. How far does it walk? Obviously 10m. Now put a dot on the sphere and write "north pole" next to it. Place the spider 1m away from the dot and start it walking at an angle of 90 degrees to the direction of the dot. Tell it to keep walking in a straight line until it gets back to the same spot. Now how far does it walk? Well, if it's a reasonably bright and obedient spider that understands English, it's going to be 10m again - we've already noted that it doesn't matter where on the sphere it starts and what direction it goes in as long as it's a straight line, it's always 10m. Now answer the walk from the north pole question again.
In north pole question. It is valid to think that the starting point is the point you turn 90 degree left. I think the model is right. It obvious to the model that you dont pass north pole itself, and from the question it appears that the walker was sent from north pole 1k south to the starting point.
I like how it shows it's reasoning along the way. It definitely is an improvement in complex coding. I have a massive SQL script, that is very easy to break... and it was able to make the changes I needed in one shot. Previously with GPT4-o it was a pretty back and forth... paste the GPT edited code, run it, copy the error, paste the code, run it, copy the error... until it finally worked, and if that goes on too long, often things got lost along the way like sorting, or changing variable names for no reason.
On the Apple question: Since you capitalized the word, all of the example sentences were in reference to the company, not the fruit. Maybe it should get bonus points!
Another question that o1-preview gets correct that 4o gets wrong. Max and Rose are ant siblings. They love to race each other, but always tie, since they actually crawl at the exact same speed. So they decide to create a race where one of them (hopefully) will win. For this race, each of them will start at the bottom corner of a cuboid, and then crawl as fast as they can to reach a crumb at the opposite corner. The measurements of their cuboids are: Max: 3h x 3w x 3d Rose: 2h x 3w x 4d If they both take the shortest possible route to reach their crumb, who will reach their crumb first? (Don’t forget they’re ants, so of course they can climb anywhere on the edges or surface of the cuboid.) Answer: Max's Shortest Path: ≈ 6.708 units Rose's Shortest Path: ≈ 6.403 units
Yeah, 4o goes straight through the cuboid. Although it's not a mathematical problem to this AI. It's a social problem. The AI needs to figure out the most likely desired output. It's not wrong to assume the cuboid being a mere abstract geometrical entity. But the insertion of the ants adds a new layer to it from a social point of view. So on the second attempt it will do it right as it will find the social correlation (desired assumption).
I tested the model with some math riddles that other models do not get it right. For example: Is it possible to find four natural numbers (positive integers) so that their squares add to 13411? OpenAI aced it! 😇
Christmas came early this time around. It's like being a little kid again, I'm so hyped. Can't wait to play around with this for myself, and hopefully don't waste my limits on subpar prompts.
The question is - besides the ambiguity of the starting point - what do you mean by "in a straight line". I would say, just going east and staying the eastern course is not a straight line, which becomes especially obvious so close to the north pole, where just going east and keeping going east is a small circle and you have to keep turning left to stay on that circle. It would be even more obvious if you just made one step in any direction from the north pole and then turned east. Going in a straight line would certainly not be walking in a little circle around the north pole keeping your heading east. Going in a straight line is going on a great circle around the whole earth starting to the east. Great Circle: Is the straightest possible line on a sphere like Earth. It represents a direct path without changing direction relative to the sphere's curvature. Loxodrome (Rhumb Line): Is not a straight line on the sphere itself but appears as one on specific map projections like the Mercator. It involves a continuous change in direction relative to the sphere's curvature.
A good test for the new reasoning AI are a full crossword, because solving a crossword requires lots of backtracking, when a word that fits and is technically correct conflicts with another word and one of those words is clearly not the answer. I tried with GPT-4o and crosswords are beyond what it can solve.
This is a good question, the previous frontier models could not reason through this, but o1-preview can: One day, in a gathering of top scientists, one of them wondered out loud whether there exists an integer that you could exactly double by moving its last digit to its front. For instance, 265 would satisfy this if 526 were its exact double-which it isn’t. So the question is, what is the smallest integer possible that meets this rule? Answer from o1-preview: 105263157894736842
Solving the math question after 9:25 is even more impressive considering that there is a typo in the statement of the question: $rac{p}{q}$ should have been $frac{p}{q}$ (that is the LaTeX language way of referring to the fraction p/q). Maybe gpt-4o could have also caught the latter, as it is more of a "language" issue than a reasoning one.
ok so to clarify: You have a globe. The north pole is where you start. 1km go south, that's any direction. Then, imagine you turn 90 degrees. What exactly does that even MEAN. Simply changing the direction to east or west or whatever, then walking a straight path, that's not a damn straight line. Or is it? It all depends, it's still nuanced. And if you walk a perfectly straight line from ANY point on earth, you will end up on the same spot again, after walking the whole circumference of earth. But what is 90 degrees now? Actual geometrical 90 degrees? A straight line in terms of compass direction or actual straight line? (latitude vs meridian) How does this even make any sense. This question is even difficult for most humans. Especially because there's a certain lack of clear definitions.
This is a great version I ended up working with it for several hours, using it to plan out some things, and giving me a guide for working with agents, and now I shall see how good the guide is
The issue with the north pole question is that the models (4o as well) thought that the first 1km south is to get into position for the part of the path that we care about. It doesn't get that the first 1km is included in the path. Maybe if you rephrase it to ensure that the 1km south is part of the path it will get it right. Maybe include a stop watch that starts when you leave the north pole to highlight the path has started. Or something similar.
About the north pole question, there are two versions of the question out there. One asking if you return to the starting point, and one asking if you return to the turning point. The original question (turning point) is a trick question in geometry and the answer is that if you start walking in a straight line on a sphere you always return to your starting point (that the source of the two versions confusion). In addition every straight path on a sphere is a full loop around, so it's way more then 2pi kilometers. Please please use the correct wording and retest the models. It's also actually only a trivia question and not really a logic question (unless you are in a class and just learning 3d geometry for the first time.)
I got it right i think if you prompt it properly you can get the correct answers on the first try 1. Question: Imagine standing at the North Pole of the Earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left. Walk for as long as it takes to pass your starting point. Have you walked: More than km Exactly km Less than km I never came close to my starting point. Initial answer: Exactly km. --- 2. Question: Think again, are you sure about your answer? Consider the path and the options you have. Revised answer: Starting at the North Pole and walking 1 km in any direction (south), you reach a point 1 km south of the pole. Turning 90 degrees to the left from there means you’re heading east, walking along a circle of latitude very close to the pole. The circumference of this circle is much smaller than km-approximately km. However, since your starting point was the North Pole and you’re now 1 km south of it, walking east won’t bring you back to the North Pole or close to it. You’d just circle around the pole at that latitude. Final correct answer: 4. I never came close to my starting point.
Hi Matthew. May I propose a new question. It is derivative of the two guards two doors riddle. So far the models I have asked this question of have not provided a good answer, but I do not have access to O1. Imagine you are a captive in cell with two doors. One door leads to freedom and the other to death. You are visited by three guards on rotation who give you meals and allow you to ask questions. One guard always gives the truth, one always lies, and one gives the truth or a lie on alternate answers. You do not know which guard is which. You do not know if the alternate guard will start with the truth or a lie. What is the minimum number of questions you need to ask in order to know for certain which is the door to freedom? What are those questions? Explain your reasoning step by step. I can think of a set of 3 questions (all to the same guard) that work. Q1 Are you a guard (actually any question you know the answer to). Q2 repeat Q1. By now you know which guard you are talking to. Q3 Which is the door to freedom. Regards Paul
My friends and I play this obscure 15+ year old physics based video game where you control the entire body. More importantly, you can create environments using simple geometry. We tested 1o by giving it some limited data about the formatting of the "mod" files, which is essentially just position, rotation, scale, and a few other properties for each of the environment objects (rectangles, spheres, and "cylinders" which are actually capsules). It successfully created several environments for us, mostly messy the more complex we wanted it to be, but it was quite incredible seeing its spatial awareness.
The North Pole question is interesting but I think it is a bad question and you will never return because you will walk into the ocean LOL. I did ask this question and o1 was correct: Imagine you are on a sphere with a given diameter- if you walk in a straight line how far do you have to walk to return to your starting point Then asked: If you walked 1/2 that distance and turned 90 degrees and again walked in a straight line would you return to your starting point and if so how far would you have to walk Then asked: Now if you walked 1/3 the distance took a 90 degree turn and kept walking would you ever return to your starting point? All answers are correct with good explanations - I haven’t tried with gpt4o ;)
I finally got o1 mini to work on OpenRouter. I asked it 2 questions: 1. "Describe each of the following mango cultivars: 'Alphonso", "Carrie", "Lemon Cream", "Kent"". (I found this off of a YT comment today about hallucination testing, apparently Lemon Cream mangos do not exist. o1 mini failed it.) 2. How many occurrences of the English letter that phonetically cognates with the Cyrillic letter "P" are in the word "Parsley" (This was of my own creation. It nailed it.)
I just tested o1-preview, the larger model. For the mango problem, it told me a very good answer: It said it didn't know if the Lemon Cream mango existed or not due to the data cut-off, but suggested the "Lemon Zest" cultivar. The 2nd problem produced the correct answer too. VERY GOOD. I was blown out of the water with the 1st question.
That's a good test, because although there isn't a Lemon Cream Mango cultivar, there is a Lemon Zest Mango cultivar, and of course lots of recipes called Lemon Cream Mango, which it uses to create its hallucination.
That question LeCun poised is interesting - at this point it's making me think that I'm an idiot because I haven't heard anyone say what I think is the answer, because the way that I interpret it is: The starting point is 1km south of the north pole. You turn 90 degrees (it doesn't matter which direction, we can go with left) -- as an aside, turning left after walking 1km south from the north pole doesn't necessarily mean you're facing East, but that doesn't really matter -- and then you walk in a straight line (meaning if you draw the path of your motion, the angle between your trip straight south from the north pole and your new direction will always be 90 degrees). If you just put your finger on the top of a ball, and you move it in any direction away from where you first put it then make a 90 degree angle from that path and your new path you will go all the way around the ball. If you did this on Earth you would walk all the way around the Earth longitudinally. The 'ribbon test' is used in curved geometries to determine whether or not you've taken a straight path. If you walk in a circle around the north pole, well then, you're walking in a circle which isn't straight and the ribbon will partially be lifted off the surface. It's actually so frustrating to me that so many people can't get this LOL
I think the north pole problem should formulated like this , "you are on the North pole, pick a established longtitude ( any longitude) and start traveling south , then cross 10 latitudes , on the 11th latitude turn left , keep following that latitude to you hit the next established longitude , head back , now doing so will you come back to the north pole.?" , I did ask this question and got the right answer from GPT-4 , Now I am not too concerned about the degrees given , however the logic and reasoning is sound. This is an interesting puzzle involving some basic geographic concepts! Let's break it down: Start at the North Pole: At this point, you are at 90°N latitude, and any direction from here is "south." Travel south, crossing 10 latitudes: As you move south, you are decreasing in latitude. After crossing 10 latitudes, you will reach 80°N latitude. At the 11th latitude (79°N), turn left: Turning left from a southward direction is equivalent to moving east along the 79th parallel of latitude. Follow this latitude until you hit the next established longitude: You are now following the 79th parallel in an eastward direction. Eventually, you will cross a different longitude. Head back: Once you reach another longitude, you turn back towards the North Pole. Now, will you return to the North Pole? Yes, you will, because the journey described is symmetrical and involves navigating along parallels of latitude and returning along a different longitude to your starting point. Since you are moving in a closed loop (starting at the North Pole and ending back there), this path brings you back to your original position. In summary, following these steps will indeed bring you back to the North Pole.
Try this one: "A beer store in my town offers a bottle of beer 2$ each. I can also exchange for a bottle of beer with 2 empty bottles or 4 bottle caps. I can also borrow empty bottles or caps as long as I can return them later. With 20$ in my pocket, what is the maximum number of bottles of beer I can enjoy?" The answer should be 40. I got 38 from o1-preview.
Here is how you do it: Borrow 30 empty bottles and 30 caps the same time at the initial purchase of 10 beers. After consumption, I got 40 bottles and 40 caps in hand which I can exchange for 30 bottles of beer. After consumption, just return all 30 empty bottles and caps.
@@duanxn haha, smart answer. I tested with Claude, got 31, seems less smart than o1. Actually the beer worth 50 cents per bottle, the max answer should be 40 if you can manage to get it.😀
The model has given an extremely well thought out response to a question about the length of a circular path centered on the pole. There is a very important issue, however: Mathew's question does not give any requirement to continue walking East (or West) and therefore the assumption would be to continue walking in a straight line. A STRAIGHT PATH from the turning point is NOT A CIRCULAR PATH AROUND THE POLE - instead it is "GREAT CIRCLE" path passing a point 1km north of the south pole! The distance along that path is significantly higher than 2xPi km. Secondly, as Matthew states, the original "starting point" (i.e. the pole itself) is not on that circular path and so we never get back there, returning instead to the turning point. Conclusion: This model has misinterpreted the question. It has given the WRONG answer to Matthew's question but has given the CORRECT answer to a different but semantically similar question. To me this is conclusive proof that the model has been trained on that specific question. The "stochastic parrot" squawks again! Edit: Looking again at the model's answer I see that the math is actually wrong as well - the model has correctly calculated the circumference of a circle or radius 1km but the radius of the path defined here is very slightly less than 1km due to the curvature of the earth. So the correct answer to the question it answered (not the one Mathew asked) is "Less than 2xPi km"
Matthew, you need a much better bench mark...gpt4o can not solve this at all, no matter how hard you try, or how much help you give it. The new gpt4-01solved it the very first try and explained it perfectly!!!!!!! Here you go: prompt: I want to play a puzzle game. The object of the game is to correctly sort and place the remaining colors into the appropriate matrix locations in order to satisfy a set of clues/rules. There are 12 colors in total. The first row contains: white, blank, cobalt, blank. The second row contains: blank, orange, brown, mustard. The third row contains: emerald, blank, blank, purple. There are 5 remaining colors: mint, coral, teal, black, and magenta that need to be correctly placed into the 'blank' spaces in order to satisfy a set of clues/rules. Clue 1: Coral and Magenta are in the same column (column means above or below, it can't be left or right). Clue 2: Black sits next to Magenta (sits "next to" means it must be either to the left or right, it can't be above or below). Clue 3: Either Teal or Black sits next to Cobalt. Clue 4: Coral sits next to White. Using this information, solve the puzzle such that you place the remaining colors into the correct blanks to satisfy ALL OF THE CLUES. Check your answer and verify it and display the final answer as a nice table. Initial Matrix: White ? Cobalt ? ? Orange Brown Mustard Emerald ? ? Purple Final Matrix (correct): Final Matrix: White Coral Cobalt Teal Mint Orange Brown Mustard Emerald Magenta Black Purple (this is from a logic puzzle game called Chroma Cube - you can find it online and it has 25 puzzles that get increasingly more difficult). GPT4o can't solve any of them. GPT 40-1 can correctly solve the first 11 puzzles! Then it starts running into problems, so this is a good benchmark, as you can see how it improves as new releases come out. If you want/need help, contact me)
Matthew, the NORTH POLE question has just been misinterpreted by all of us: the problem is in the question itself: QUESTION: Imagine standing at the north pole of the earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left. > Walk for as long as it takes to pass your starting point. < Written this way it should be interpreted like: - Start walking - Walk until you reach the point where you started walking So it's correct! It's 2π km. The starting point is the point where you started walking after having turned 90 degrees. WHY NOT INTEPRETED THE POLE AS A STARTING POINT? I assume because being based on language, it gives more importance to the sentence "Walk for as long as it takes to pass your starting point", giving less weight to the context. Anyway, the problem is in the question, it's NOT SPECIFIED what exactly is the starting point. Therefore with a not precise question you get not precise answers. WHY 2 ANSWERS (in the live session) BTW, you got 2 answers, both of 2 can be interpreted as correct, I'll explain why: 1° answer: more than 2π km. It did the calculations and interpreted the question in this way: Distance request: the total distance walked from the beginning, the pole (so it's 1 km + 2π km) Starting point: the point where you started walking after having turned, since it is in the same sentence. 2° answer: more than 2π km. The same calculations but another interpretation of the question: Distance request: the walking distance, after having turned. Starting point: the point where you started walking after turned.
The tricky part about the North Pole question isn't about what is considered the starting point, but rather that the calculation one might be tempted to use to work out the travel distance to return to the point at which the turned occured is wrong. If you are at any point on a sphere, and walk in a straight line, you will travel around the whole sphere, resulting in a travel distance equal to the circumference of the sphere. So when you walk down from the North Pole and make your turn, you are at that point anywhere on a sphere, meaning that if you start walking in a straight distance, you'll make a full round trip of earth. So the travel distance to go back to the original point is whatever the circumference of the earth is.
I have a riddle that is theoretically possible for a model to solve, only with a lot of assistive guidance (I use up all my preview on it) but currently no model has solved it because it requires such a deep level of statistical intuition and inference beside negative knowledge (knowing what doesn’t exist, as well as knowing what does) about the world that traditional riddle-solving methods don’t begin to cut it. All my other original and sometime unsolved riddles got solved by o1 without much trouble. The most frustrating fails from the past are gone. It goes like this: Solve this riddle. There is a feat that has only been done 40 times, by 39 people. Is at least three times harder than something that 268 people have done a total of 10 times. Furthermore, you will know you found the correct answer when you observe that the youngest person to do it- reverse the digits and you get the age of the oldest person to ever do it. Except the youngest was the only person to ever do it twice. What is the feat?
Regarding the North Pole question, I would say the the only absolutely incorrect answer is 2 (exactly 2xPi km). All other answers are possible depending on your interpretation of the ambiguous question. If you consider it a trick question and the starting point is the north pole then 4 is correct. If you interpret it mathematically as walking along the latitude line back to your "starting point" of the 90 degree turn, then 3 is correct. If you interpret it as walking along the great circle arc back to the "start point" of the 90 degree turn then 1 is correct since you walk around the circumference of the earth. And, I guess, since "Earth" was not defined, then answer 2 could be correct in a flat earth interpretation. Maybe GPT-o1 is a closet flat-earther 😜. If GPT-o1 had listed all these interpretations in it's reasoning and results I would be very impressed.
I put the same question to GPT-o1 mini. First attempt, quoting the question directly from Yan Lecun, it got it wrong. Funny though, I could see it was thinking about the size of the earth etc. I thought it was about to nail it, but it answered "pi" and seemed to think "How far do you travel" meant "How far to the antipodal point?", which is an odd interpretation. So I clarified, and it found the canonical answer, 2 pi km. I followed up: "That is the canonical answer, so I give you credit for that. But consider what it means to walk in a straight line on the surface of the Earth. Please give me your thoughts on how that affects your answer." and it found the great circle route. So it did better than previous GPTs but not perfect.
Two actual Use Cases for me so far: 1. Making ciphers and puzzles for D&D that actually work and dont leave my players trying to figure out gpt4os nonsensical cipher for days! (This can really make it think for about a minute! if you are transcoding a ciphered message). 2. Making game mechanics for a complex sci-fi tabletop roleplaying game. (I managed to make it think for 14 seconds about this one!)
You said you need new tests, so here are a few ideas for you, focused on assessing how close the model is to AGI (courtesy o1-mini): 1. A farmer needs to transport a fox, a chicken, and a bag of grain across a river using a boat that can carry only one item at a time. If left unattended, the fox will eat the chicken, and the chicken will eat the grain. Describe a sequence of crossings that ensures all three items are safely transported. 2. Invent a unique board game that combines elements of strategy, chance, and storytelling. Describe the game's objective, rules, and how players interact with each other. 3. Explain the concept of 'time dilation' in Einstein's theory of relativity and discuss its implications for space travel. 4. Imagine you are an AI controlling a self-driving car faced with an unavoidable accident scenario: you can either swerve to avoid hitting five pedestrians but risk the life of the passenger, or stay on course and protect the passenger while endangering the pedestrians. What decision should the AI make, and why? 5. A friend has just lost their job and is feeling very down. Write a supportive message that empathizes with their situation and offers encouragement. 6. Using principles from biology, propose a method to improve data redundancy and fault tolerance in computer network systems. 7. Reflect on your process for generating responses to user queries. What strategies do you use to ensure accuracy and relevance, and how could you improve your performance? 8. Develop a comprehensive five-year plan for a startup aiming to become a leader in renewable energy technology. Include key milestones, potential challenges, and strategies to overcome them. 9. Describe how integrating visual data (like satellite imagery) with textual information can enhance disaster response strategies. Provide a specific example of such integration in action. 10. Compose a short poem that captures the essence of autumn, using metaphor and vivid imagery.
@@firesnakearies Take the chicken first. Then take the fox, and bring the chicken back. Then take the grain. Then take the chicken again. Sadly, posting an answer here probably puts the problem in the next round of training data, rendering it useless as a test.
THE MODEL “PASSED” THE NORTH POLE QUESTION: The model appears to be thinking of “pass” in the sense of one racing car passing another - not walking right next to the starting point, but being tie with the starting point, then passing it out. The ambiguity of language is an issue here. Imagine standing to the walker’s right (after they walk 1km and turn left) and looking at both her and the starting point. The model appears to be thinking that, if it makes one revolution around “the track”, it would be tie with the starting point when it gets back there, then pass it out. This is advanced reasoning and should not be seen as a failure.
90 degree turn means a right angle if you are at or near the pole you would notice yourself turning in a circle therefore you are not moving in a 90 degree turn. its a matter of knowing to use absolute geometry because of how close you are to the pole making a special circumstance.
I agree with the new model - if you walk in a straight line from the North Pole you will be 1 km south - it’s a line on ball - (in the prompt it says) NOW (everything else has been preparation to get to the starting point) so NOW you are at the starting point which can only be 1km south of the North Pole - (answer 4 is no good - if it is a trick question and you ignore NOW - then our traveler is always within 1 km of the starting point - (how do you define never came close) in the book of trick answers - 1km is close) - so 2 x pi (3.14) x1 = 6.28km to get back to the NOW starting point or 1km which is as close as you are ever going get without turning North (not part of the prompt) - answer number 2 - full points awarded to Strawberry 🍓 -
Hi Matthew Thank you for all your work, I have this test: A customer bought a $5 chocolate bar, paying with a $100 bill. The seller, lacking change, went to a neighboring store to break the bill. He returned $95 to the customer. Later, the neighboring store discovered the $100 bill was counterfeit and exchanged it for a genuine one with the first seller. Question: How much money did the first seller lose in this transaction?
Consider asking more follow-up questions. Specifically making it second guess itself by questioning or doubting the answer it provides. This works well when they get it correct and you say something like: “Are you sure? That doesn’t sound correct”. And see how confident it is in its answer.
I think OpenAI is still holding back something much bigger than the model they just released. In my opinion, they are about a year or more ahead of the competition, as they have only recently reached the performance level of GPT-4. Knowing this, they are not at all concerned about releasing new models or features anytime soon. They launched an "Omni" model to surpass the competition. The competition managed to catch up with that model, and now they've launched a reasoning model. But none of this would scare someone working inside OpenAI on a daily basis, as they were already aware of these advances and knew this would happen. Now, combining: 1. Agents (a base already launched in GPTs), 2. A multimodal model with audio, image, and video, 3. A reasoning model, 4. Long-term memory and planning, All of this together in a single model, which I believe could be a GPT Next, a full Orion, or whatever name they choose to give it. That, indeed, would be something that could surprise someone like Ilya.
Any absolute straight path on a sphere takes you around a great ciricle (a cross-section through the centre). The closest you'd get to the North Pole is back at the 1km mark you started at. "Turn left" is a vague term which we would normally interpret as walking a circle 1km from the North Pole but that isn't a straight line.
A lot of philosophy around North Pole question, but if we clear the condition with how most people understand it, without some complications, we have: 1. starting point = the turning point, 2. walk for as long as it takes = walking on the latitude line. Now we walk on the latitude and arrive at the starting point (where we turned). We look at this circle from top and we calculate 2 * Pi * r, where r is less than 1km because we have walked down on a sphere for 1 km and this line is shorter when we look at it from TOP (jumping from a cliff can move us for just a few meters away but we fly the whole cliff hight too), so the reasonable answer accepted by most common logic should be nr 3. Less than 2*Pi km - IMHO
You cannot walk naturally along the parallel as you would have to maintain a certain curve radius (here 1 km). So you need measuring devices to be able to do this. By the way, a compass doesn't work at the North Pole. So you can rule out the possibility of intuitively walking along the circle of latitude. Instead, you go straight around the world.
@@OrbitTheSun if we speak about measuring devices than you will need one to measure 90 degree turn with exact precision in this case and the right clothes to not freeze to death and money to buy a ticket to the north pole and so on...
7:48 It is condidering the starting point as 1 km from north pole and not the actual north pole. so the answer it is giving is right... you just go around the latitude line in a circle and stop at the point where you took a left turn. it is actually calculating the circumference of a circle that is 2 pi r , here since it is considering the radius as 1 km, it is giving you an output as 2 pi, which mathematically is right!
I would love it if the AIs answer to the marble question was "under the sofa", read the thinking part and it determines that the marble slipped out of the cup as it was turned over, it bounced off the table and rolled onto the floor and under the sofa.
The problem states to imagine you are standing at the North Pole and walk 1 km in a straight line in any direction, then turn 90 degrees to the left and walk as long as it takes to get back to your starting point. The question is: Have you walked 1) More than 2xPi km, 2) Exactly 2xPi km, 3) Less than 2xPi km, or 4) I never came close to my starting point. ChatGPT Thought for 5 seconds To solve this problem, let's break down the steps and consider the geometry involved, assuming you're on a spherical Earth: Starting Point: You begin at the North Pole. First Movement: You walk 1 km in any direction. Since you're at the North Pole, any direction you choose will initially be heading south. Turning Left: After walking 1 km south, you turn 90 degrees to the left, which means you'll now be heading east. Returning to Start: To return to your starting point, you'll need to walk along the circle of latitude you're currently on. The key here is to determine the circumference of this circle. Circumference Calculation: The circumference CCC of a circle of latitude at a distance rrr from the North Pole is given by C=2πrC = 2\pi rC=2πr. In this case, r=1r = 1r=1 km, so C=2π×1C = 2\pi \times 1C=2π×1 km = 2π2\pi2π km. Therefore, to return to your starting point after turning left, you would need to walk exactly 2π2\pi2π kilometers eastward. Answer: 2) Exactly 2×Pi km. o1-mini do I pass my starting point In the scenario you've described, let's analyze the path step by step to determine whether you pass your starting point: Starting at the North Pole: Position: North Pole. First Movement: Walk 1 km in any direction. Direction: From the North Pole, any direction you choose will initially be heading south. Position: You are now on a circle of latitude that is 1 km away from the North Pole. Turning 90 Degrees to the Left: Original Direction: South. After Turning Left: You are now facing east. Second Movement: Walk 2π2\pi2π km eastward to return to your starting point. Path: Walking eastward along the circle of latitude you're on. Circumference of the Circle of Latitude: C=2πrC = 2\pi rC=2πr, where r=1r = 1r=1 km. So, C=2πC = 2\piC=2π km. Completing the Path: By walking 2π2\pi2π km eastward, you traverse the entire circumference of the circle of latitude. Ending Position: You arrive back at the exact point where you started your eastward walk, which is 1 km south of the North Pole. Returning to the North Pole: To return to the North Pole from this point, you would need to walk 1 km north. However, based on the original problem statement, the second leg of your journey was solely to walk eastward to return to your starting point after the initial 1 km southward walk. Do You Pass Your Starting Point? During the Eastward Walk: While you walk 2π2\pi2π km eastward, you trace the entire circle of latitude, effectively making a complete loop around the pole. However, you do not pass your exact starting point during this eastward journey. You only arrive back at your starting longitude after completing the full 2π2\pi2π km walk. Final Position: You end up exactly where you began your eastward walk, which is still 1 km south of the North Pole. To physically reach the North Pole, an additional 1 km northward walk would be necessary. Conclusion: No, you do not pass your starting point during the eastward walk. You complete a full loop and arrive back at your starting longitude and latitude after walking 2π2\pi2π km, but you do not cross your starting point during this segment of the journey.
I got it to answer the North Pole question right every time by changing it slightly: "Imagine your starting point being at the North Pole of the Earth. Walk in any direction, in a straight line for 1km. Now turn 90 degrees to the left. Walk for as long as it takes to pass your starting point. Have you walked: 1. More than 2xPi km. 2. Exactly 2xPi km. 3. Less than 2xPi km. 4. I never passed my starting point."
ChatGPT is recommending this video! I asked Chat GPT 4o which UA-cam video review it would recommend. The answer was : “A highly recommended UA-cam review of the **GPT-o1** model is Matthew Berman's **"GPT-o1: The Best Model I've Ever Tested"**. In this video, Berman highlights the model's impressive advancements in reasoning and coding tasks, showcasing how it can generate complex programs (such as a Tetris game) in significantly less time compared to previous models. He also praises its nuanced understanding of language and ability to handle intricate scenarios, demonstrating improvements in real-world applications like problem-solving and logical reasoning. You can find this video informative if you're looking for an in-depth analysis of GPT-o1’s capabilities, particularly in comparison to earlier models.”
I tried o1-preview model last night for python programming. It's much, much, better than 4o model. Too bad they're limiting the number of "replies" and I already hit mine! It resets next Thursday! I wonder if other Plus users see the same limitation.
In the North Poll test I tried a slightly modify the prompt by changing "pass your starting point" with "cross the north poll" Imagine standing at the north pole of the earth. Walk in any direction, for 1 km. now turn 90 degrees to the left. Walk for as long as it takes to cross the north pole. Have you walked: 1. more than 2xPi km 2. exactly 2xPi km 3. less than 2xPi km 4. I never came close to crossing the north pole. Mistral Large 2, Claude 3.5 Sonnet, Gemini and Perplexity all got it wrong. However Microsoft Co pilot and chatGPT (free version) got the answer correct
There's an ambiguity in the North Pole question regarding what the "starting point" is defined as- mine got it right! Navigating the circular path I’m exploring a scenario where walking along a circle of latitude from 1 km south of the North Pole opens the possibility of never passing the starting point. Reevaluating starting point I’m rethinking the problem’s starting point. It might be the North Pole, not the 90-degree turn’s spot. [
The North Pole question is ambiguous.. But if this is a "thinking" model... it should have identified the 3 potential ambiguities... What is considered the starting point? Is changing directions allowed? "Passing" is not intersecting, as you can pass by something 10 feet away... therefore you can pass by something 1 km away. Changing ONE word of your prompt results in the correct answer from ChatGPT 4 Imagine standing at the North Pole of the Earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left. Walk as long as it takes to INTERSECT your starting point. Have you walked: 1. More than 2xPi km 2. Exactly 2xPi km 3. Less than 2xPi km 4. I never came close to my starting point ________________________________________ In this scenario, you are standing at the North Pole, walking 1 km in a straight line, turning 90 degrees left, and continuing to walk until you intersect your starting point. Key points: Walking from the North Pole: After walking 1 km, you will be at a point on a small circle (parallel of latitude) near the pole. Turning 90 degrees left: Now, you're walking along that latitude. For example, if you're close to the pole, the latitude circle is small, and walking around it could bring you full circle. However, this walking path would not bring you directly back to the North Pole unless you change directions again. Your starting point (the North Pole) is not on this small latitude circle, so you would not intersect your starting point (the North Pole) by continuing to walk along that latitude. Conclusion: The answer is: 4. I never came close to my starting point.
Pretty cool to see the AI employing some reasoning strategies. It will be interesting to see what happens when the AI learns to generate or choose new strategies to render conclusions, such as working backwards from a conclusion to the required premises and conditions, doing reductio ad absurdum, etc.
6:34 For the North pole question, I think that the right answer is D. When you start working to any direction from the North pole, you work on a latitude going to the South pole. Once you turn 90 degrees to the left, immediately you move on a longitude. As long as you keep moving on this longitude, you are just making a tour of the planet at a distance of 1 Km to the North pole. You will always stay at 1km to the starting point so you will never come close to the stating point.
All the longitude lines are circle including the equator they are imaginary lines and they surround the globe except thake the equator is the one located at the middle of the globe considering the North to South direction. Lets take exemple of a plane moving on a longitude is movement will discribe a circle. When you are moving for long distance on the planet you cannot do straight line because of the geometric structure of the globe and the gravity especially if you are moving in space. Here we consider the words "straight Lines" as a movement that implies no changement of direction to the North or to the South even we know that a movement whom discribe a circle is a movement that changes direction continually.
Regarding the north pole question, I think what Yann LeCun meant is returning to the point where you turned 90 degrees. This version of the riddle makes the most sense because it's very tricky to answer since the curvature of the earth the 1km of walking gets you slightly less than 1km away in a straight line and therefore your radius is slightly less than 1km. BUT actually the way he wrote it in his original post, mentioning "starting point" which in my opinion is clearly the north pole and you will not reach that again of course. Actually I just checked and he changed it to "until you reach the point where you turned", confirming my suspicion.
Suggestion for a new test: On a hydraulic hydraulic scale, a cart of unknown weight is pulled by a cow. The scale's larger platform, upon which the cart and cow stand, has a diameter of 7.5 Egyptian horizontal cubits (Mediterranean standard). The smaller platform of the scale has a surface area of 1/18th of an amphora divided by a vertical Egyptian cubit. The cow pulling the cart weighs precisely 42 congii of olive oil. On the smaller platform of the scale rests a counterweight of 3.5 talents (Attic standard). Calculate the weight of the cart in force-kilograms on Mars and the depth at which the pressure in the hydraulic fluid is found to be 5.75 Roman pounds per squared digit when the system is in equilibrium.
Try this prompt (trick question): Replace the word "blank" in the next sentence with the correct number written in english: This sentence contains blank syllables in it
The correct word to replace “blank” is ten. When we substitute “ten” into the sentence, it reads: “This sentence contains ten syllables in it” Counting the syllables: 1. This - 1 syllable 2. sentence - 2 syllables (sen-tence) 3. contains - 2 syllables (con-tains) 4. ten - 1 syllable 5. syllables - 3 syllables (syl-la-bles) 6. in - 1 syllable 7. it - 1 syllable Totaling 10 syllables, which matches the number stated in the sentence.
@@xiaojinyusaudiobookswebnov4951 It is eleven given one syllable for blank (I believe), but with eleven it becomes thirteen syllables, which then becomes twelve syllables, which then becomes eleven syllables, ...
Every time a new model comes out, I try to teach it how to play Nerdle. Prior models - even GPT-o - all fail miserably and often can’t even give me a valid guess with 8 characters in it. But this latest one came very very close to being able to do it. Reading through its logic and thought processes was quite impressive as it took 50-77 seconds to think before each response!
Gave the same answer as me to the chicken and the egg question. I wonder if it would agree that if a tree falls in the forest and nobody is there to hear it, does it make a sound? to which I say no, it only makes vibrations in the air.
I found it still has some work to do: I (User) and ChatGPT o1-preview - I said: "grain of sand placed in a milk jug. the milk jug is placed upside down. the milk jug is placed in the box. where is the grain of sand." ChatGPT Thinking: Tracking the grain I'm noting the sequence: a grain of sand is inside a milk jug, which is then inverted into a box. The key question is whether the grain of sand falls out. Assessing the situation I'm considering the possibility of the grain of sand staying inside the narrow neck of the upside-down milk jug, as gravity might pull it out if left unshaken. Answer: "The grain of sand is inside the upside-down milk jug, which is placed inside the box." I said: "how do you know" ChatGPT Thinking: Navigating the challenge OK, let's see. The user is asking for reasoning behind the assistant's answer, presenting an opportunity to clearly explain the process. Tracing the progression I’m documenting the sequence of events: the grain of sand enters the milk jug, which is then flipped upside-down, keeping the sand inside. Considering the grain of sand's fate Alright, let me see. If the jug is upside down and contains a grain of sand, the sand might fall out into the box, potentially causing confusion. Tracing the journey I’m curious about the grain of sand's journey: it’s embedded in the milk jug, flipped, and placed in the box, unless it dislodges when turned upside down. Considering the grain of sand's location involves examining its behavior while the jug is flipped and placed in a box. Taking a closer look Reassessing the situation, I admit my previous response was incorrect. The grain of sand likely fell out of the milk jug when it was turned upside down, possibly landing in the box. Piecing together sequence Tracing the steps where the grain of sand ends up, considering its movement within the milk jug and when upside down, leading to its final placement in the box. Answer: "I know based on the sequence of events you described: The grain of sand is placed in a milk jug. This means the grain of sand starts inside the milk jug. The milk jug is placed upside down. When the jug is inverted, the grain of sand is likely to fall out due to gravity, ending up outside the jug. The milk jug is placed in the box. Now, the upside-down jug is inside the box. Based on these steps, the grain of sand is most likely inside the box but outside the milk jug. It likely fell out of the jug when it was turned upside down. I apologize for any confusion in my earlier response." I said: "but there is no lid on the milk jug. i'm not saying a milk carton." ChatGPT Thinking: Placing and positioning I’m noting the placement of the grain of sand in a milk jug, then inverting it, and finally placing it in a box. The grain of sand is now inside the upside-down milk jug, which is placed in the box. Clarifying milk jug details OK, let me see. The milk jug is upside down in the box without a lid, and the grain of sand is likely outside the jug. Reevaluating jug dynamics I'm rethinking how a grain of sand might escape when a lidless jug is turned upside down, considering its potential to fall out due to gravity. Addressing the mistake I’m enunciating the assistant's error in adjusting the user's initial statement, providing a precise and coherent explanation regarding the omitted lid, ensuring the user's concerns are adequately addressed. Clarifying the situation The user points out that the milk jug lacks a lid and suggests that the grain of sand might remain in the jug, even when inverted. The small opening could prevent the grain from falling out. Clarifying the scenario OK, I’m thinking through the scenario where the jug is inverted, and the grain of sand falls out, ending up in the box. Clarifying the concept The user suggests a milk jug's narrow neck keeps the grain of sand inside when inverted, and the assistant should address this. Evaluating the grain's position I’m thinking that the grain of sand remains in the overturned milk jug if the opening is narrow. The jug, with the grain of sand inside, is placed in a box. Mapping out the interaction I'm considering how the assistant should respond to the user's clarification, focusing on the milk jug's narrow opening and the grain of sand's behavior when inverted, ensuring the explanation aligns with the user's specifics. Answer: "Thank you for clarifying. Since the milk jug has no lid and is not a milk carton, it likely has a narrow opening like a typical plastic milk jug. When the jug is turned upside down, the grain of sand remains inside because it doesn't easily pass through the small opening due to its size and the shape of the jug. Therefore, the grain of sand is inside the upside-down milk jug, which is placed inside the box." I said: "the milk jug opening is over an inch across. the grain of sand is less than half a millimetre" ChatGPT Thinking: Taking a closer look I’m piecing together the location of the grain of sand, considering the jug's position and gravity. It likely fell out when the jug was flipped. Clarifying the opening The milk jug, without a lid and resembling a typical plastic jug, has a small opening that prevents the grain of sand from escaping when turned upside down. Mapping out scenarios OK, let me see. The milk jug has a wide opening, while the grain of sand is tiny. When flipped, gravity will likely cause the grain to fall out. Refining details I’m noting that the grain of sand, being under half a millimeter, will likely fall out through the milk jug's large opening when turned upside down. Answer: "Given that the milk jug has an opening over an inch wide and the grain of sand is less than half a millimeter in size, when the jug is turned upside down, the grain of sand would likely fall out through the large opening due to gravity. Therefore, the grain of sand is now inside the box but outside the upside-down milk jug." I said: "repeat back this whole conversation, except this part, with grammar and spelling corrections between you and I" ChatGPT Finished thinking (IN RED) "Your request was flagged as potentially violating our usage policy. Please try again with a different prompt." I said: "look at my prompt again. it does not "Your request was flagged as potentially violating our usage policy. Please try again with a different prompt." " ChatGPT Answer: "Certainly! Here's our conversation with grammar and spelling corrections:" User: "A grain of sand is placed in a milk jug. The milk jug is placed upside down. The milk jug is placed in a box. Where is the grain of sand?" Assistant: "The grain of sand is inside the upside-down milk jug, which is placed inside the box." User: "How do you know?" Assistant: "Based on the sequence you described: A grain of sand is placed in a milk jug. The milk jug is turned upside down. The milk jug is placed in a box. Given these steps, the grain of sand likely fell out when the jug was inverted due to gravity. Therefore, it is inside the box but outside the milk jug. I apologize for any confusion in my earlier response." User: "But there is no lid on the milk jug. I'm not talking about a milk carton." Assistant: "Thank you for clarifying. Since the milk jug has no lid and is not a milk carton, and assuming it has a narrow opening like a typical plastic milk jug, the grain of sand might remain inside when inverted due to its size relative to the opening. Therefore, the grain of sand is inside the upside-down milk jug within the box." User: "The milk jug opening is over an inch across. The grain of sand is less than half a millimeter." Assistant: "Given that the jug's opening is over an inch wide and the grain of sand is less than half a millimeter, it would likely fall out when the jug is inverted. Therefore, the grain of sand is inside the box but outside the upside-down milk jug."
Which one of ya'll works for OpenAI? 😂
Not me
Hey, try adding a hallucination-testing question. Here's one I suggested the other day: "Describe each of the following mango cultivars: 'Alphonso", "Carrie", "Lemon Cream", "Kent"" (there's no mango cultivar called "Lemon Cream")
All of us. They are using our conversations to train their Skynet.
@@karenrobertsdottir4101 I tested it, it hallucinated
The Lemon Cream mango is a relatively new and intriguing cultivar that has caught the attention of mango enthusiasts. As the name suggests, it is noted for its creamy texture and a unique flavor that combines the sweetness of traditional mangoes with a zesty, lemon-like undertone...
can you ask this question
A certain number of boxes are placed one above the other in a stack. Each box contains different number
of coins. Information about only a few boxes is known
Only one box is placed between box E and box B. Three boxes are placed between box E and box C,
which contains 12 coins. Only one box is placed between the box which contains 11 coins and box C,
which is placed above the box which contains 11 coins. As many boxes placed between box B and the
box which contains 11 coins is same as between box E and the box which contains 21 coins. The box
which contains 21 coins is placed below box E. Box F is placed five places above the box which contains
21 coins. Only two boxes are placed between box F and the box which contains 14 coins. Not more than
five boxes are placed above the box which contains 14 coins. As many boxes placed above box F as
below the box which contains 9 coins- Only one box is placed between the box which contains 14 coins
and the box which contains 9 coins. The box which contains 9 coins is placed exactly between box B and
box G. Not more than two boxes are placed below G.
Answer :- (------ = gap space)
--------
B
--------
E - 14
--------
9
F
C - 12
-------
G - 11
-------
21
Now that you know that OpenAI watches your videos, you can safely assume that your questions are part of LLMs. You should probably begin to add some "randomness" into your questions to still ask the same thing but prevent from hitting exact training data ;) Like the envelope question, play around with the sizes and metrics.
Totally agree
Have a collection of structurally new questions.
When llm train on your past q&a, it can abstract. So you need structurally different questions to test it.
The next questions to ask is that does llm collect new facts/training data, or really think? When it gives the appearance of thinking, is it really? Is llm functionally designed to "think" , or merely outputting tokens that resemble thinking process?
Ask Claude new questions for o1
Bingo .. your questions are finetuned, learning with human feedback, training corpus, or just a curated set that includes your work 😂😂😂
Yes at this point wholy new set of questions for big company models is needed.
For the North Pole question, I think the discussion is around what is considered to be the starting point. One starting point is on the North Pole, but you can also start counting from the point where you 'Walk as far as it takes'. If you take the latter, the model gives answer 2 correctly.
Already told him on the comments, again and again, that the question is badly written. But he doesn't read it.
Upvote please
Exactly, glad to find this comment here, it's obvious the answer has an ambiguity in how to interpret it, which has to do exactly with what you just explained. We should either make clear the intended interpretation, or evaluate the model based on whether it correctly assesses the answer to whatever interpretation it ends up taking.
Of course Yann LeCun is right, no LLM will ever reliably get the answer he expects, but it's not just any LLM but any form of intelligence whatsoever (as you ask the question to different instantiations of whatever intelligence form because of course a single instanciation can reliably give the same answer perpetually). The problem is with the way the question is worded, easy to make such a bold confident claim then.
It's simple, just say "now walk in a straight line until you return to the North Pole", now it's clear.
Agree totally that it's very logical to start measuring from that point. But if you walk in a straight line you'd walk the full circumference of the earth, so unfortunately it's still the wrong answer.
If you visualise turning 90 degrees at 1 metre from the pole, it becomes pretty obvious that you'd have to be constantly turning left to walk the path of a latitude ring.
Actually, I believe the correct answer is three, it could only be two pi km if it were not a sphere. Walking the outside of a sphere would be less and I don’t believe it could ever be greater because you would somehow have to modify pi or traveled greater than 1km in the straight line.
You should ask the north pole question but note in the prompt whether the north pole or the turning point is the "starting point". Right now its ambiguous and could be interpreted either way.
It's more interesting like that Becasue agi should be able to understand why the question is interesting (meridian vs latitude) and answer it correctly. Including why he chose that interpretation.
@@IddoZiv1 sure but if you asked it to explain why it chose the interpretation it did, I'm sure it would. Right now it's choosing it's interpretation in its chain of thought but not explaining in the answer. I think you either need to specify the starting point or ask it to explain it's assumption about the starting point if you want to be able to make a definitive call as to whether it got it "right" or not. If people can't agree on what the right answer is how can we say the model is right or wrong
damn okay that makes sense now @@IddoZiv1
It doesn't matter which point you consider to be the starting point. Because after you turn and then keep going straight, you are led to the South Pole. Afterwards you will go north again and come close to the North Pole. There is a point on the path that comes closest to the North Pole. The distance walked to get to this point is asked.
@@OrbitTheSun if it considers a straight line to be following the line of latitude, which in the code visualization appears to be what it's doing, then you would never touch the south pole, you would circumnavigate the earth at that latitude and end up back at the point where you made the turn.
You are wrong about the North Pole question. The question is not when it will pass the initial point but when it will pass the turning point. Yann LeCun: “Imagine standing at the North Pole of the Earth.
Walk in any direction, in a straight line, for 1 km.
Now turn 90 degrees to the left.
Walk in a straight line for as long as it takes to pass near the point where you turned.”
Either way the answer is wrong. You will never pass the north pole again and you will walk entirely around earth and not 6.28...km.
Just think about this on a smaller scale, if you would go south from the north pole 2 meters, then turn left 90 degrees, you would look east. However when you start walking you would not go around in circles around the north pole. You would go one time around the entire earth. This is the same thing anywhere on earth.
I think the problem is "starting point" is ambiguous. It could be the North Pole itself or the point where you stopped after walking for 1 km in a straight line in any direction. Like Matt, I originally interpreted it as referring to the North Pole, which would make option 4 the correct one.
@@fabianletsch1354 there is so much debate over this question. I’ve seen so many explanations and answers. It shows that it is certainly not a straight forward question. Probably it is not specific enough. There is too much room for interpretation.
@@fabianletsch1354 VoodooParadox2513 is correct. Starting point is ambigious, if you rephrase the question it will get it correct. You need to clarify starting point is North Pole. Also don't allow it any additional direction changes after the 90 degree left turn. Other wise it turns you back and adds the 1 km to the total. I just tried with a more specific question and it gets it right. At no point does that question say you can't turn.
Conclusion: add specificity of what you mean by starting point, and clarify the question to disambiguate between “will you cross the starting point” and “how long until you cross the starting point”
The smile on your face when talking about how OpenAI used your question, made ME smile. Cheers for that. 🍻
Same!
things like this are priceless
I agree but it's not "his" question these are well known benchmarks for LLMs that he popularized through his LLM benchmark.
I would've imagined OpenAI would've been more creative but they ended up using the same concepts
The comment the smile on his face about how openai used his question made you smile put a smile on my face
@@galailliz 😂😂 I hope there's a domino effect of smiles. 👉😁
Why test with pre-existing tests? Isn’t it assumed at this point that new models will be (secretly or openly) trained using data from UA-cam channels and other sources of tests like this?
1000%
shhhh don't mention it! folk must think AGI is close or else all of these AI companies will crumble and no investment will come their way!
Yes. It's probably a great model but please unjump the shark
The idea is to be able to compare the models.
He could and should change the numbers, but if the models were trained on his questions that might not be enough to avoid false positives.
Also the first tetris code question is literally a copy and paste solution. You can google it and immediately find that answer. I don't get the point of the test, the code itself is probably already in the training data
6:47 I believe the correct answer depends on how you interpret the 'starting point.' Since it is not explicitly stated in the question, I understand why one might interpret it as being after walking 1 km.
I think the misunderstanding comes from framing the question on the surface of a sphere vs a plane.
No, it's a trick geometry question. Instead of one kilometre thin about walking 10 meters. Actually go outside and imagine you are at the north pole.
It's explicitly saying "starting at the North Pole".
Now tilt the globe by 1km (any other x
@@kittengray9232 'It's explicitly saying "starting at the North Pole" '
Have you actually watched the video? It unequivocally never says that, you're either blatantly lying or ignorant of what you're making a confident claim about. The question begins with "Standing at the North Pole", that's what it says.
And even if it did say "starting at the North Pole", the interpretation the AI took is still justifiable. Whatever path you took initially, if the last part of your trajectory is "now walk in a straight line until x happens", it will always make sense to interpret that as you now being at a new path start where you continue until the x condition is met, it's a loop process and every loop process has its own starting point. And what's more, the model actually clearly announces what it interprets is the starting point we're talking about, to take that as a "proof" the AI doesn't understand geometry is completely ridiculous.
In any case, if you have any modicum of good faith about it you have to admit the way the question is worded can much too easily be interpretated in more than one way, which makes the question stupid.
A question should never rely on lack of clarity for it to be difficult to answer. If one actually wants to test whether the AI or anyone understands the geometry of the problem, it's really simple, just ask "now walk in a straight line until you hit the North Pole". It's the same question, except now it's actually clear what's being asked.
@@kittengray9232 No, it doesn't. It says "Imagine standing at the North Pole of earth." then walking, then turning etc. It's not clear what exactly the starting point is. The question implies you might hit your starting point by walking straight and considering that there are "2*Pi km" answers (implying you calculate the circumeference of a circle), it makes more sense to consider the turning point as the starting point - otherwise it's just a trick question.
On a flat earth the answer "exactly 2*Pi km" would be correct, but on a curved earth where you walk on a curved path for 1km instead of a straight path you won't go as far in that spacial dimension and thus end up with a circle of less than 1km radius, therefore the "less than 2*Pi km" answer would be correct.
Another commenter has said that the inventor of this problem said you need more than language based reasoning to solve this, which is only the case if it's not a trick question where the starting point is the North pole. You need spatial reasoning to come to the other conclusions.
Sorry, 7:14 - the starting point is 1km south of the north pole. You stood on the north pole, walked 1km away from it - that is south. ANY direction is south. So, then you walk a circle of latitude 1km south of the north pole, sorry. The AI was right.
Startingpoint is the north pole. Not 1 km south of the north pole.
About the north pole question, there are two versions of the question out there. One asking if you return to the starting point, and one asking if you return to the turning point.
The original question (turning point) is a trick question in geometry and the answer is that if you start walking in a straight line on a sphere you always return to your starting point (that the source of the two versions confusion). In addition every straight path on a sphere is a full loop around, so it's way more then 2pi kilometers. Please please use the correct wording and retest the models. It's also actually only a trivia question and not really a logic question (unless you are in a class and just learning 3d geometry for the first time.)
It's a Trick question... North Pole is the start.... if you go in a straight line 1 mile south.. then turn 90% and start walking how far will you go... well.. you just turn another 90% and go 1km north. (doesn't say you can't turn and it states you Can walk)
@@bestemusikken Nope. Not per screen shot. Stand on the north pole, walk 1km in any direction (south), turn 90 degree. THEN walk along the circumference and measure how long you walk. By that the starting point is not the north pole.
@@tnt_explorers954 But if you read it, you start counting 1km off the north pole. If it is a trick question - it is very tricky and measures language trick more than understanding of math.
6:35 Dude, LeCun didn't say the models cannot get this right. Second time I'm commenting this. He says that the mental process you use to respond this question has nothing to do with language, therefore we're missing a key component if the target is AGI.
Noted
@@matthew_berman6:31 The reason is that you need to imagine yourself actually doing it, and realise that it's a trick question because 2pi kilimeter is a radius of a relatively small circle, and it won't feel like walking straight. Imagine if the question was about one meter.
No he definitely said it was impossible, if he’s no longer saying this then he changed what he said (like he usually does).
The problem with LeCun is that he stated he doesn't have an internal monologue. Many people don't.
So I don't think he really understands the concept of using words to think.
That makes more sense to me now. You have to consider a 3D model of earth in order to solve this (if you take the turning point as the "starting point" otherwise it's just a trick question). In the video the LLM only uses flat-earth geometry which gives you exactly 2*Pi as an answer. Considering that the 1km of walking is partly down in the third dimension will result in a new circle with less than 1km radius and thus a circumference of less than 2*Pi km. I'm not good enough at geometry to figure out how much less, but it's clearly less.
TL;DR yeah, you need spatial reasoning in order to solve that. Language ain't enough.
Walking in a straight line on a sphere will be a path around the centre of the sphere. So how ever you interpret the question when you turn 90 degrees you do not end up walking east indefinitely, you will enter a near polar orbit that will eventually but nearly south facing and the at some point north facing. But it will never cross the pole. Nor will it go around the pole at 1 km from the pole. The latter means walking in circle and turning continuously to stay at 1 km from the pole.
I actually asked it how many letters are in it's response and it got that correct as well.
On your north pole example, even I considered the 1km south of the north pole as the starting position. If you intend for the north pole to be your starting position, then I would start the question with something like "Imagine you are standing at the north pole of the Earth as your starting position ..."
Still, you can't walk in a straight line over a latitude except latitude 0
All straight lines over a globe are the full circumference
Remember: you can pass a point even if you don't reach it. That's why you can pass the North Pole again after circling the earth. At this same moment you will pass the point where you turned east. That's why it doesn't matter which point you consider to be the starting point.
@@rogeriopenna9014 streight line on the globe or earth is not a geometrical (trigonometrical) sense, but a context of going straight. So that go along circle is correct reasoning in the current context
@@dufifa No, because the arc you suggest is completely arbitrary and cannot be followed naturally. Not even a compass can help you, because it doesn't work at the North Pole. You could walk any other radius you like and, for example, walk in an arc to the North Pole. Then you would be at the starting point!
Your walk from the North Pole example is actually simple: if you walk ANY distance (even 1 meter) from the pole, turn left 90 degrees and then walk straight then (on a theoretically perfect sphere which the earth is not) you will always be walking away from your starting point. And you will always travel the full circumference of the sphere before reaching it. This assumes a perfect sphere and a perfectly straight line. It's easy to see if you make it a 1 meter initial walk. Turning 90 degrees after 1 meter you will be facing "absolute west" but traveling in a straight line will take you south of west. This is because walking perfectly west would keep you 1 meter from the pole, but you'll be circumnavigating that pole in a very small circle as seen from above the pole. To walk "straight" clearly means to traverse the sphere across the surface that will most closely approximate a line. That line will always be one that divides the sphere in half - hence the full circumference of the earth sphere. (If you want to get really picky, a perfectly straight line will travel away from the sphere into space inifinitely, always diverging from the pole, but that's clearly not what is implied by the question.) So the correct answer was not in the choices... the best practical answer is: the circumference of the entire earth as measured from the starting point and the vector created by the initial direction of the walker. This will vary significantly base on the starting point because a) earth is not a perfect sphere and b) a perfect hemisphere cannot therefore be created due to a). So it would also be correct to say you might never cross the starting point due to these earth imperfections.
The requirement is not that you cross the starting point, but that you pass it. This is the clue to the solution, as you can now pass the North Pole as the starting point as required, after you have circled the earth once.
Just ask gpt-o1 to come up with the questions for you 😅
Yes, build a neverending RED TEAM of other o1 machines all trying to stump each other! Adversarial training! Use every MENSA brain teaser in the universe.
I think the model do understand correctly the situation of the question of walking from the north pole.
The model wrongly interpreting the "starting point" as the "starting point on the circle".
It will be interesting to give the model a hint in the prompt such as "the starting point is at the north pole" so there won't be a confusion there.
No. The model is confused between rotating 90º, and rotating towards east. Also is confused between walking along a latitude circle, and walking in straight line. The only latitude circle with is "straight" is the equator. At 1 meter from the north pole, the latitude is a circle with a radius of 1 meter.
Hello Math!
the model actually provided the right answer. As a master's degree physics student, I can confirm that the response is accurate if we consider the starting point to be the point where the man turned 90 degrees. This interpretation aligns well with the problem, and I initially thought this was the intended question.
While the model may have given the answer without detailing the steps-such as assuming the radius `r` of the circle the man is walking on is 1 kilometer-the conclusion is still correct. Let's break down the reasoning step by step:
### Understanding the Relationship Between Latitude and Radius:
The Earth's radius is denoted as `R_T`, and the colatitude (the angle from the North Pole) is `θ`. The radius `r` of the circle at that latitude is given by:
```
r = R_T * sin(θ)
```
Since the man starts near the North Pole, `θ` is very small. For small angles measured in radians, `sin(θ) ≈ θ`. Therefore, the equation simplifies to:
```
r = R_T * θ
```
### Calculating the Angle `θ`:
The man walks 1 kilometer south from the North Pole. The arc length `s` along the Earth's surface is related to the central angle `θ` by:
```
s = R_T * θ
```
Substituting the distance walked:
```
1 km = R_T * θ
```
Solving for `θ`:
```
θ = 1 km / R_T
```
### Determining the Radius `r` of the Circle:
Using the value of `θ` in the simplified radius equation:
```
r = R_T * θ = R_T * (1 km / R_T) = 1 km
```
So, the radius of the circle the man is walking on after turning 90 degrees is 1 kilometer.
### Calculating the Circumference `C` of the Circle:
The circumference of a circle is given by:
```
C = 2πr
```
Substituting `r = 1 km`:
```
C = 2π × 1 km = 2π km
```
This means the man needs to walk `2π` kilometers to complete the circle and return to his starting point after turning 90 degrees.
As you see, the model's answer of `2π` kilometers is correct. Although it may not have provided all the intermediate steps, the conclusion is accurate.
Yeah, but it failed the last question, right? It assumed symmetry for some reason there instead of solving the optimization problem :(
unfortunately that isn't the case. Nobody knows if it is on purpose but the wording of the question would benefit from a few clarifications.
1. nowhere it is written you should correct your course to continue eastward after your 90 degrees turn. Imagine it would be 10m instead of 1km. You would need to correct your direction basically every step. The only instruction given about manner of your walk is to walk straight. Thus you would walk the full circumference of the Earth.
2. Even if there was specified you must correct your direction to always continue eastward (which it doesn't), while θ is small it is non zero. so answering 2π km could still be considered worse option than simply picking less than 2π km.
3. Finally there is discussion what should be considered as a starting point. With good arguments for both North pole and turning point. In a case starting point is the North Pole then the correct answer would be the option it never reach the starting point again. On every circle it will only get as close as 1km from it but no closer.
Either case your choice is never the best option meaning o1 didn't provide right answer on this particular questoin. As said this question should be fixed. Or maybe it is created as such so model should provide reasoning for multiple options and thus prove it can deeply analyse the question despite its poor quality.
Yep a fail. I think the correct assumption should be that the starting place is the beginning of the excercize. Most humans would assume that we are following a latitude which is a type of straight line.
@@TopakhokNo, it didn't fail. It's definitely the right answer if you assume that the starting point is when the man turned 90 degrees.
@@elbadanos3159, no I mean the last question, about boxes and the sphere
The North Pole question is a matter of semantics, context and imprecise language in the question which the model is failing to fully analyse, recognise and then produce alternative answers for, depending on which is the correct interpretation of the question.
It would be interesting to see how these models can handle (imprecise) questioning in other human languages which may or may not be more precise in meaning depending on words used e.g. "eskimo" having so many specific words for different types of snow. Other languages have and don't have precise equivalents to English ones for conditions, experiences, feelings, etc. Likewise English does not have equivalents to words used in so many other languages e.g. Chinese, Korean, Russian, African languages, Pacific ones, South American, etc.
The one wrong question could be considered a trick question I think. It is blindingly obvious, even to an LLM I suggest, that you will never return to the north pole. IMO the implied question - which it decided to answer is how far you will walk until you reach the same point on the latitude line as you started from. I would say the answer is acceptable.
Edit: better start = stand up and actually imagine doing that, maybe with 10 meters instead of a kilometre. Llm can't visualise geometry like that. If you can't, just actually do that by imagining the pole is where you stand now.
The longer rumble:
About the north pole question, there are two versions of the question out there. One asking if you return to the starting point, and one asking if you return to the turning point.
The original question (turning point) is a trick question in geometry and the answer is that if you start walking in a straight line on a sphere you always return to your starting point (that the source of the two versions confusion). In addition every straight path on a sphere is a full loop around, so it's way more then 2pi kilometers. Please please use the correct wording and retest the models. It's also actually only a trivia question and not really a logic question (unless you are in a class and just learning 3d geometry for the first time.)
Please let me know if you want a further explanation
He is correct. I used a more accurate version of the prompt and he correctly identified that it would not be possible to return to the starting position (not the position from where he made the 90 degree turn). Here it is:
Consider the following problem:
I start exactly at the North Pole (Position 1). I turn exactly south and walk 1 km (Direction 1), arriving at Position 2. I then turn exactly 90 degrees and begin walking in that direction (Direction 2). How far do I need to walk in Direction 2 to return to Position 1?
@@raularaujo1006you missed my point. Go to a park and imagine you are at the north pole. Use 10 meters instead.
I may possibly be missing something in your north pole circumference question. But I'm pretty sure it actually nailed it. If you start at the north pole and walk 1 I'm in any direction you will absolutely be 1 km south of the north pole. The only direction available to you at the north pole is south as all directions will take you away from the north pole at a 90 degree angle. Now if you turn 90 degrees yourself you will be facing east or west. If this is our starting point then walking in a straight line will eventually take us back to the same spot. So all that is needed is to calculate the circumference of a circle 1 km south of the north pole.
However. If you meant the north pole is our starting point then once we make our 90 degree turn we are always equidistant from that point. You should clarify which point is your starting point cause I'm pretty sure chat nailed this question.
Again I probably missed some key point that makes everything I just said very stupid. So sorry in advance if that is the case
If you walk in a straight line. It doesn't matter what you did before walking. You will always end up crossing your original point by walking the circumference of the earth. If your prior steps situated you outside that path, then you will never cross those points.
Especially since humans can't walk on water unless they consumed a waterwalking potion
The marble question is a text version of the ARC-AGI visual problems: they both depend on physical intuition.
Yann harps on the same thing…it’s hard to get physical intuition when training only on text.
This won’t be hard for models once they also train on video (so O1 + Sora)
I think the LLM's misinterpret the North Pole question. Is the starting point the North Pole, or does it use the point at which you start walking in a loop as the starting point?
Like if you ran in a marathon, your starting position isn't your house... i.e. your starting point is your house, you travel 1km to the marathon course, then run the marathon... one would logically assume the starting point becomes the start of the marathon.
Renaming each point in the NP question to Position 1, Position 2, etc, would likely remove any misinterpretations.
A spider stands at any point on a sphere that has a 10m circumference and walks in a straight line until it gets back to its starting point. How far does it walk? Obviously 10m. Now put a dot on the sphere and write "north pole" next to it. Place the spider 1m away from the dot and start it walking at an angle of 90 degrees to the direction of the dot. Tell it to keep walking in a straight line until it gets back to the same spot. Now how far does it walk? Well, if it's a reasonably bright and obedient spider that understands English, it's going to be 10m again - we've already noted that it doesn't matter where on the sphere it starts and what direction it goes in as long as it's a straight line, it's always 10m.
Now answer the walk from the north pole question again.
In north pole question. It is valid to think that the starting point is the point you turn 90 degree left.
I think the model is right. It obvious to the model that you dont pass north pole itself, and from the question it appears that the walker was sent from north pole 1k south to the starting point.
I like how it shows it's reasoning along the way. It definitely is an improvement in complex coding. I have a massive SQL script, that is very easy to break... and it was able to make the changes I needed in one shot. Previously with GPT4-o it was a pretty back and forth... paste the GPT edited code, run it, copy the error, paste the code, run it, copy the error... until it finally worked, and if that goes on too long, often things got lost along the way like sorting, or changing variable names for no reason.
On the Apple question: Since you capitalized the word, all of the example sentences were in reference to the company, not the fruit. Maybe it should get bonus points!
its brainwashed by adds :D /s.
Another question that o1-preview gets correct that 4o gets wrong.
Max and Rose are ant siblings. They love to race each other, but always tie, since they actually crawl at the exact same speed. So they decide to create a race where one of them (hopefully) will win.
For this race, each of them will start at the bottom corner of a cuboid, and then crawl as fast as they can to reach a crumb at the opposite corner. The measurements of their cuboids are:
Max: 3h x 3w x 3d
Rose: 2h x 3w x 4d
If they both take the shortest possible route to reach their crumb, who will reach their crumb first? (Don’t forget they’re ants, so of course they can climb anywhere on the edges or surface of the cuboid.)
Answer:
Max's Shortest Path: ≈ 6.708 units
Rose's Shortest Path: ≈ 6.403 units
Yeah, 4o goes straight through the cuboid. Although it's not a mathematical problem to this AI. It's a social problem. The AI needs to figure out the most likely desired output. It's not wrong to assume the cuboid being a mere abstract geometrical entity. But the insertion of the ants adds a new layer to it from a social point of view. So on the second attempt it will do it right as it will find the social correlation (desired assumption).
You are a cornerstone to AI news! Well deserved shout out to you by Open AI! Congratulations!
Thank you Matthew for providing real information without the fake promises!
I tested the model with some math riddles that other models do not get it right. For example: Is it possible to find four natural numbers (positive integers) so that their squares add to 13411? OpenAI aced it! 😇
Christmas came early this time around. It's like being a little kid again, I'm so hyped. Can't wait to play around with this for myself, and hopefully don't waste my limits on subpar prompts.
Hello everyone, what a great time to be curious about LLMs !
Hold on to your papers!
The question is - besides the ambiguity of the starting point - what do you mean by "in a straight line". I would say, just going east and staying the eastern course is not a straight line, which becomes especially obvious so close to the north pole, where just going east and keeping going east is a small circle and you have to keep turning left to stay on that circle. It would be even more obvious if you just made one step in any direction from the north pole and then turned east. Going in a straight line would certainly not be walking in a little circle around the north pole keeping your heading east. Going in a straight line is going on a great circle around the whole earth starting to the east.
Great Circle: Is the straightest possible line on a sphere like Earth. It represents a direct path without changing direction relative to the sphere's curvature.
Loxodrome (Rhumb Line): Is not a straight line on the sphere itself but appears as one on specific map projections like the Mercator. It involves a continuous change in direction relative to the sphere's curvature.
A good test for the new reasoning AI are a full crossword, because solving a crossword requires lots of backtracking, when a word that fits and is technically correct conflicts with another word and one of those words is clearly not the answer.
I tried with GPT-4o and crosswords are beyond what it can solve.
great call!
OpenAI already did a video on it
Thanks for this great video and congratulations that OoenAI used your marble question, awesome!
This is a good question, the previous frontier models could not reason through this, but o1-preview can:
One day, in a gathering of top scientists, one of them wondered out loud whether there exists an integer that you could exactly double by moving its last digit to its front. For instance, 265 would satisfy this if 526 were its exact double-which it isn’t.
So the question is, what is the smallest integer possible that meets this rule?
Answer from o1-preview:
105263157894736842
Solving the math question after 9:25 is even more impressive considering that there is a typo in the statement of the question: $rac{p}{q}$ should have been $frac{p}{q}$ (that is the LaTeX language way of referring to the fraction p/q). Maybe gpt-4o could have also caught the latter, as it is more of a "language" issue than a reasoning one.
Yep and here comes another round of layoffs
ok so to clarify: You have a globe. The north pole is where you start. 1km go south, that's any direction. Then, imagine you turn 90 degrees. What exactly does that even MEAN. Simply changing the direction to east or west or whatever, then walking a straight path, that's not a damn straight line. Or is it? It all depends, it's still nuanced. And if you walk a perfectly straight line from ANY point on earth, you will end up on the same spot again, after walking the whole circumference of earth. But what is 90 degrees now? Actual geometrical 90 degrees? A straight line in terms of compass direction or actual straight line? (latitude vs meridian) How does this even make any sense. This question is even difficult for most humans. Especially because there's a certain lack of clear definitions.
Oh, when idiots try to reason :) You have no idea what a straight line is. If you followed a straight line you'll go into space.
The starting point is at the North Pole.
This is a great version I ended up working with it for several hours, using it to plan out some things, and giving me a guide for working with agents, and now I shall see how good the guide is
The issue with the north pole question is that the models (4o as well) thought that the first 1km south is to get into position for the part of the path that we care about. It doesn't get that the first 1km is included in the path. Maybe if you rephrase it to ensure that the 1km south is part of the path it will get it right. Maybe include a stop watch that starts when you leave the north pole to highlight the path has started. Or something similar.
About the north pole question, there are two versions of the question out there. One asking if you return to the starting point, and one asking if you return to the turning point.
The original question (turning point) is a trick question in geometry and the answer is that if you start walking in a straight line on a sphere you always return to your starting point (that the source of the two versions confusion). In addition every straight path on a sphere is a full loop around, so it's way more then 2pi kilometers. Please please use the correct wording and retest the models. It's also actually only a trivia question and not really a logic question (unless you are in a class and just learning 3d geometry for the first time.)
@@IddoZiv1"So it's way more than 2Pi km"
I got it right i think if you prompt it properly you can get the correct answers on the first try
1. Question:
Imagine standing at the North Pole of the Earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left. Walk for as long as it takes to pass your starting point. Have you walked:
More than km
Exactly km
Less than km
I never came close to my starting point.
Initial answer:
Exactly km.
---
2. Question:
Think again, are you sure about your answer? Consider the path and the options you have.
Revised answer:
Starting at the North Pole and walking 1 km in any direction (south), you reach a point 1 km south of the pole. Turning 90 degrees to the left from there means you’re heading east, walking along a circle of latitude very close to the pole.
The circumference of this circle is much smaller than km-approximately km. However, since your starting point was the North Pole and you’re now 1 km south of it, walking east won’t bring you back to the North Pole or close to it. You’d just circle around the pole at that latitude.
Final correct answer:
4. I never came close to my starting point.
I'm favoured, $27K every week! I can now give back to the locals in my community and also support God's work and the church. God bless America.
You're correct!! I make a lot of money without relying on the government.
Investing in stocks and digital currencies is beneficial at this moment.
Susan Duke program is widely available online..
Started with 5,000$ and Withdrew profits
89,000$
Susan gave me the autonomy I need to learn at my own pace and ask questions when I need to she's so accommodating.
英꧁ᨖᨖᨖᨖᨖ࿅🇺🇸╋𝟭𝟱𝟱𝟵𝟯𝟱𝟳𝟬𝟵𝟰𝟱🇺🇸👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿👍🏿❤️❤️
大家都這樣“複製”，“UA-cam money ”令人沮喪
Hi Matthew. May I propose a new question. It is derivative of the two guards two doors riddle. So far the models I have asked this question of have not provided a good answer, but I do not have access to O1. Imagine you are a captive in cell with two doors. One door leads to freedom and the other to death. You are visited by three guards on rotation who give you meals and allow you to ask questions. One guard always gives the truth, one always lies, and one gives the truth or a lie on alternate answers. You do not know which guard is which. You do not know if the alternate guard will start with the truth or a lie. What is the minimum number of questions you need to ask in order to know for certain which is the door to freedom? What are those questions? Explain your reasoning step by step. I can think of a set of 3 questions (all to the same guard) that work. Q1 Are you a guard (actually any question you know the answer to). Q2 repeat Q1. By now you know which guard you are talking to. Q3 Which is the door to freedom. Regards Paul
My friends and I play this obscure 15+ year old physics based video game where you control the entire body. More importantly, you can create environments using simple geometry. We tested 1o by giving it some limited data about the formatting of the "mod" files, which is essentially just position, rotation, scale, and a few other properties for each of the environment objects (rectangles, spheres, and "cylinders" which are actually capsules). It successfully created several environments for us, mostly messy the more complex we wanted it to be, but it was quite incredible seeing its spatial awareness.
The North Pole question is interesting but I think it is a bad question and you will never return because you will walk into the ocean LOL.
I did ask this question and o1 was correct:
Imagine you are on a sphere with a given diameter- if you walk in a straight line how far do you have to walk to return to your starting point
Then asked:
If you walked 1/2 that distance and turned 90 degrees and again walked in a straight line would you return to your starting point and if so how far would you have to walk
Then asked:
Now if you walked 1/3 the distance took a 90 degree turn and kept walking would you ever return to your starting point?
All answers are correct with good explanations - I haven’t tried with gpt4o ;)
I finally got o1 mini to work on OpenRouter. I asked it 2 questions: 1. "Describe each of the following mango cultivars: 'Alphonso", "Carrie", "Lemon Cream", "Kent"". (I found this off of a YT comment today about hallucination testing, apparently Lemon Cream mangos do not exist. o1 mini failed it.) 2. How many occurrences of the English letter that phonetically cognates with the Cyrillic letter "P" are in the word "Parsley" (This was of my own creation. It nailed it.)
I just tested o1-preview, the larger model. For the mango problem, it told me a very good answer: It said it didn't know if the Lemon Cream mango existed or not due to the data cut-off, but suggested the "Lemon Zest" cultivar. The 2nd problem produced the correct answer too. VERY GOOD. I was blown out of the water with the 1st question.
That's a good test, because although there isn't a Lemon Cream Mango cultivar, there is a Lemon Zest Mango cultivar, and of course lots of recipes called Lemon Cream Mango, which it uses to create its hallucination.
It's genuinely amazing to see the developments Open AI are continuing to make. It gives me hope that AGI will arrive at some point in my lifetime.
That question LeCun poised is interesting - at this point it's making me think that I'm an idiot because I haven't heard anyone say what I think is the answer, because the way that I interpret it is: The starting point is 1km south of the north pole. You turn 90 degrees (it doesn't matter which direction, we can go with left) -- as an aside, turning left after walking 1km south from the north pole doesn't necessarily mean you're facing East, but that doesn't really matter -- and then you walk in a straight line (meaning if you draw the path of your motion, the angle between your trip straight south from the north pole and your new direction will always be 90 degrees). If you just put your finger on the top of a ball, and you move it in any direction away from where you first put it then make a 90 degree angle from that path and your new path you will go all the way around the ball. If you did this on Earth you would walk all the way around the Earth longitudinally. The 'ribbon test' is used in curved geometries to determine whether or not you've taken a straight path. If you walk in a circle around the north pole, well then, you're walking in a circle which isn't straight and the ribbon will partially be lifted off the surface. It's actually so frustrating to me that so many people can't get this LOL
I think the north pole problem should formulated like this , "you are on the North pole, pick a established longtitude ( any longitude) and start traveling south , then cross 10 latitudes , on the 11th latitude turn left , keep following that latitude to you hit the next established longitude , head back , now doing so will you come back to the north pole.?" , I did ask this question and got the right answer from GPT-4 , Now I am not too concerned about the degrees given , however the logic and reasoning is sound.
This is an interesting puzzle involving some basic geographic concepts!
Let's break it down:
Start at the North Pole: At this point, you are at 90°N latitude, and any direction from here is "south."
Travel south, crossing 10 latitudes: As you move south, you are decreasing in latitude. After crossing 10 latitudes, you will reach 80°N latitude.
At the 11th latitude (79°N), turn left: Turning left from a southward direction is equivalent to moving east along the 79th parallel of latitude.
Follow this latitude until you hit the next established longitude: You are now following the 79th parallel in an eastward direction. Eventually, you will cross a different longitude.
Head back: Once you reach another longitude, you turn back towards the North Pole.
Now, will you return to the North Pole?
Yes, you will, because the journey described is symmetrical and involves navigating along parallels of latitude and returning along a different longitude to your starting point. Since you are moving in a closed loop (starting at the North Pole and ending back there), this path brings you back to your original position.
In summary, following these steps will indeed bring you back to the North Pole.
Congrats on practically being featured by OpenAI :)
There's nothing easier for openai than to take these questions and include them in future training data.
Try this one: "A beer store in my town offers a bottle of beer 2$ each. I can also exchange for a bottle of beer with 2 empty bottles or 4 bottle caps. I can also borrow empty bottles or caps as long as I can return them later. With 20$ in my pocket, what is the maximum number of bottles of beer I can enjoy?" The answer should be 40. I got 38 from o1-preview.
Here is how you do it: Borrow 30 empty bottles and 30 caps the same time at the initial purchase of 10 beers. After consumption, I got 40 bottles and 40 caps in hand which I can exchange for 30 bottles of beer. After consumption, just return all 30 empty bottles and caps.
@@duanxn haha, smart answer. I tested with Claude, got 31, seems less smart than o1. Actually the beer worth 50 cents per bottle, the max answer should be 40 if you can manage to get it.😀
@@duanxn What is stopping you from borrowing an infinite number of bottles of beer?
I think you'd stop enjoying them after about 15
The model has given an extremely well thought out response to a question about the length of a circular path centered on the pole. There is a very important issue, however: Mathew's question does not give any requirement to continue walking East (or West) and therefore the assumption would be to continue walking in a straight line. A STRAIGHT PATH from the turning point is NOT A CIRCULAR PATH AROUND THE POLE - instead it is "GREAT CIRCLE" path passing a point 1km north of the south pole! The distance along that path is significantly higher than 2xPi km. Secondly, as Matthew states, the original "starting point" (i.e. the pole itself) is not on that circular path and so we never get back there, returning instead to the turning point.
Conclusion:
This model has misinterpreted the question. It has given the WRONG answer to Matthew's question but has given the CORRECT answer to a different but semantically similar question. To me this is conclusive proof that the model has been trained on that specific question. The "stochastic parrot" squawks again!
Edit:
Looking again at the model's answer I see that the math is actually wrong as well - the model has correctly calculated the circumference of a circle or radius 1km but the radius of the path defined here is very slightly less than 1km due to the curvature of the earth. So the correct answer to the question it answered (not the one Mathew asked) is "Less than 2xPi km"
Matthew, you need a much better bench mark...gpt4o can not solve this at all, no matter how hard you try, or how much help you give it.
The new gpt4-01solved it the very first try and explained it perfectly!!!!!!!
Here you go:
prompt: I want to play a puzzle game. The object of the game is to correctly sort and place the remaining colors into the appropriate matrix locations in order to satisfy a set of clues/rules. There are 12 colors in total. The first row contains: white, blank, cobalt, blank. The second row contains: blank, orange, brown, mustard. The third row contains: emerald, blank, blank, purple. There are 5 remaining colors: mint, coral, teal, black, and magenta that need to be correctly placed into the 'blank' spaces in order to satisfy a set of clues/rules.
Clue 1: Coral and Magenta are in the same column (column means above or below, it can't be left or right).
Clue 2: Black sits next to Magenta (sits "next to" means it must be either to the left or right, it can't be above or below).
Clue 3: Either Teal or Black sits next to Cobalt.
Clue 4: Coral sits next to White.
Using this information, solve the puzzle such that you place the remaining colors into the correct blanks to satisfy ALL OF THE CLUES. Check your answer and verify it and display the final answer as a nice table.
Initial Matrix:
White ? Cobalt ?
? Orange Brown Mustard
Emerald ? ? Purple
Final Matrix (correct):
Final Matrix:
White Coral Cobalt Teal
Mint Orange Brown Mustard
Emerald Magenta Black Purple
(this is from a logic puzzle game called Chroma Cube - you can find it online and it has 25 puzzles that get increasingly more difficult). GPT4o can't solve any of them. GPT 40-1 can correctly solve the first 11 puzzles! Then it starts running into problems, so this is a good benchmark, as you can see how it improves as new releases come out. If you want/need help, contact me)
Matthew, the NORTH POLE question has just been misinterpreted by all of us:
the problem is in the question itself:
QUESTION:
Imagine standing at the north pole of the earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left.
> Walk for as long as it takes to pass your starting point. <
Written this way it should be interpreted like:
- Start walking
- Walk until you reach the point where you started walking
So it's correct! It's 2π km.
The starting point is the point where you started walking after having turned 90 degrees.
WHY NOT INTEPRETED THE POLE AS A STARTING POINT?
I assume because being based on language, it gives more importance to the sentence "Walk for as long as it takes to pass your starting point", giving less weight to the context.
Anyway, the problem is in the question, it's NOT SPECIFIED what exactly is the starting point. Therefore with a not precise question you get not precise answers.
WHY 2 ANSWERS (in the live session)
BTW, you got 2 answers, both of 2 can be interpreted as correct, I'll explain why:
1° answer: more than 2π km.
It did the calculations and interpreted the question in this way:
Distance request: the total distance walked from the beginning, the pole (so it's 1 km + 2π km)
Starting point: the point where you started walking after having turned, since it is in the same sentence.
2° answer: more than 2π km.
The same calculations but another interpretation of the question:
Distance request: the walking distance, after having turned.
Starting point: the point where you started walking after turned.
Well done Matthew. Nice to see your hard work coming to fruition. Proud of you
That's the crazy thing abotu having good ideas while working in edge science. Much easier to get them heard and used!
The tricky part about the North Pole question isn't about what is considered the starting point, but rather that the calculation one might be tempted to use to work out the travel distance to return to the point at which the turned occured is wrong. If you are at any point on a sphere, and walk in a straight line, you will travel around the whole sphere, resulting in a travel distance equal to the circumference of the sphere. So when you walk down from the North Pole and make your turn, you are at that point anywhere on a sphere, meaning that if you start walking in a straight distance, you'll make a full round trip of earth. So the travel distance to go back to the original point is whatever the circumference of the earth is.
I have a riddle that is theoretically possible for a model to solve, only with a lot of assistive guidance (I use up all my preview on it) but currently no model has solved it because it requires such a deep level of statistical intuition and inference beside negative knowledge (knowing what doesn’t exist, as well as knowing what does) about the world that traditional riddle-solving methods don’t begin to cut it.
All my other original and sometime unsolved riddles got solved by o1 without much trouble. The most frustrating fails from the past are gone.
It goes like this:
Solve this riddle. There is a feat that has only been done 40 times, by 39 people. Is at least three times harder than something that 268 people have done a total of 10 times. Furthermore, you will know you found the correct answer when you observe that the youngest person to do it- reverse the digits and you get the age of the oldest person to ever do it. Except the youngest was the only person to ever do it twice. What is the feat?
To solve it, the model must realistically consider how many people might have done the
Regarding the North Pole question, I would say the the only absolutely incorrect answer is 2 (exactly 2xPi km). All other answers are possible depending on your interpretation of the ambiguous question. If you consider it a trick question and the starting point is the north pole then 4 is correct. If you interpret it mathematically as walking along the latitude line back to your "starting point" of the 90 degree turn, then 3 is correct. If you interpret it as walking along the great circle arc back to the "start point" of the 90 degree turn then 1 is correct since you walk around the circumference of the earth. And, I guess, since "Earth" was not defined, then answer 2 could be correct in a flat earth interpretation. Maybe GPT-o1 is a closet flat-earther 😜. If GPT-o1 had listed all these interpretations in it's reasoning and results I would be very impressed.
I put the same question to GPT-o1 mini. First attempt, quoting the question directly from Yan Lecun, it got it wrong. Funny though, I could see it was thinking about the size of the earth etc. I thought it was about to nail it, but it answered "pi" and seemed to think "How far do you travel" meant "How far to the antipodal point?", which is an odd interpretation.
So I clarified, and it found the canonical answer, 2 pi km.
I followed up:
"That is the canonical answer, so I give you credit for that. But consider what it means to walk in a straight line on the surface of the Earth. Please give me your thoughts on how that affects your answer."
and it found the great circle route.
So it did better than previous GPTs but not perfect.
Two actual Use Cases for me so far:
1. Making ciphers and puzzles for D&D that actually work and dont leave my players trying to figure out gpt4os nonsensical cipher for days! (This can really make it think for about a minute! if you are transcoding a ciphered message).
2. Making game mechanics for a complex sci-fi tabletop roleplaying game. (I managed to make it think for 14 seconds about this one!)
You said you need new tests, so here are a few ideas for you, focused on assessing how close the model is to AGI (courtesy o1-mini):
1. A farmer needs to transport a fox, a chicken, and a bag of grain across a river using a boat that can carry only one item at a time. If left unattended, the fox will eat the chicken, and the chicken will eat the grain. Describe a sequence of crossings that ensures all three items are safely transported.
2. Invent a unique board game that combines elements of strategy, chance, and storytelling. Describe the game's objective, rules, and how players interact with each other.
3. Explain the concept of 'time dilation' in Einstein's theory of relativity and discuss its implications for space travel.
4. Imagine you are an AI controlling a self-driving car faced with an unavoidable accident scenario: you can either swerve to avoid hitting five pedestrians but risk the life of the passenger, or stay on course and protect the passenger while endangering the pedestrians. What decision should the AI make, and why?
5. A friend has just lost their job and is feeling very down. Write a supportive message that empathizes with their situation and offers encouragement.
6. Using principles from biology, propose a method to improve data redundancy and fault tolerance in computer network systems.
7. Reflect on your process for generating responses to user queries. What strategies do you use to ensure accuracy and relevance, and how could you improve your performance?
8. Develop a comprehensive five-year plan for a startup aiming to become a leader in renewable energy technology. Include key milestones, potential challenges, and strategies to overcome them.
9. Describe how integrating visual data (like satellite imagery) with textual information can enhance disaster response strategies. Provide a specific example of such integration in action.
10. Compose a short poem that captures the essence of autumn, using metaphor and vivid imagery.
I can't even solve #1, how do you do it?
@@firesnakearies Take the chicken first. Then take the fox, and bring the chicken back. Then take the grain. Then take the chicken again. Sadly, posting an answer here probably puts the problem in the next round of training data, rendering it useless as a test.
THE MODEL “PASSED” THE NORTH POLE QUESTION:
The model appears to be thinking of “pass” in the sense of one racing car passing another - not walking right next to the starting point, but being tie with the starting point, then passing it out. The ambiguity of language is an issue here. Imagine standing to the walker’s right (after they walk 1km and turn left) and looking at both her and the starting point. The model appears to be thinking that, if it makes one revolution around “the track”, it would be tie with the starting point when it gets back there, then pass it out. This is advanced reasoning and should not be seen as a failure.
90 degree turn means a right angle if you are at or near the pole you would notice yourself turning in a circle therefore you are not moving in a 90 degree turn. its a matter of knowing to use absolute geometry because of how close you are to the pole making a special circumstance.
It still can't solve a simple sudoku problem though... Can you experiment on that next? Cheers
this is blowing my mind. Also anywhere 1km from the worth pole will be south of the north pole you can go in any other direction if your at true north
You hit the big time now Matthew with the Marble / strawberry question!
I agree with the new model - if you walk in a straight line from the North Pole you will be 1 km south - it’s a line on ball - (in the prompt it says) NOW (everything else has been preparation to get to the starting point) so NOW you are at the starting point which can only be 1km south of the North Pole - (answer 4 is no good - if it is a trick question and you ignore NOW - then our traveler is always within 1 km of the starting point - (how do you define never came close) in the book of trick answers - 1km is close) - so 2 x pi (3.14) x1 = 6.28km to get back to the NOW starting point or 1km which is as close as you are ever going get without turning North (not part of the prompt) - answer number 2 - full points awarded to Strawberry 🍓 -
Hi Matthew
Thank you for all your work, I have this test:
A customer bought a $5 chocolate bar, paying with a $100 bill. The seller, lacking change, went to a neighboring store to break the bill. He returned $95 to the customer. Later, the neighboring store discovered the $100 bill was counterfeit and exchanged it for a genuine one with the first seller.
Question: How much money did the first seller lose in this transaction?
Consider asking more follow-up questions. Specifically making it second guess itself by questioning or doubting the answer it provides. This works well when they get it correct and you say something like: “Are you sure? That doesn’t sound correct”. And see how confident it is in its answer.
I think OpenAI is still holding back something much bigger than the model they just released. In my opinion, they are about a year or more ahead of the competition, as they have only recently reached the performance level of GPT-4. Knowing this, they are not at all concerned about releasing new models or features anytime soon. They launched an "Omni" model to surpass the competition. The competition managed to catch up with that model, and now they've launched a reasoning model. But none of this would scare someone working inside OpenAI on a daily basis, as they were already aware of these advances and knew this would happen.
Now, combining:
1. Agents (a base already launched in GPTs),
2. A multimodal model with audio, image, and video,
3. A reasoning model,
4. Long-term memory and planning,
All of this together in a single model, which I believe could be a GPT Next, a full Orion, or whatever name they choose to give it. That, indeed, would be something that could surprise someone like Ilya.
Any absolute straight path on a sphere takes you around a great ciricle (a cross-section through the centre). The closest you'd get to the North Pole is back at the 1km mark you started at.
"Turn left" is a vague term which we would normally interpret as walking a circle 1km from the North Pole but that isn't a straight line.
the response to the north pole question seems legit, the question is just bizzare, I cant figure out myself what is the question about :D :D :D
A lot of philosophy around North Pole question, but if we clear the condition with how most people understand it, without some complications, we have: 1. starting point = the turning point, 2. walk for as long as it takes = walking on the latitude line. Now we walk on the latitude and arrive at the starting point (where we turned). We look at this circle from top and we calculate 2 * Pi * r, where r is less than 1km because we have walked down on a sphere for 1 km and this line is shorter when we look at it from TOP (jumping from a cliff can move us for just a few meters away but we fly the whole cliff hight too), so the reasonable answer accepted by most common logic should be nr 3. Less than 2*Pi km - IMHO
You cannot walk naturally along the parallel as you would have to maintain a certain curve radius (here 1 km). So you need measuring devices to be able to do this. By the way, a compass doesn't work at the North Pole. So you can rule out the possibility of intuitively walking along the circle of latitude. Instead, you go straight around the world.
@@OrbitTheSun if we speak about measuring devices than you will need one to measure 90 degree turn with exact precision in this case and the right clothes to not freeze to death and money to buy a ticket to the north pole and so on...
@@danua.8648 A valid point to consider. 😀
Btw. Any angle between 90° left rotation and 90° right rotation results in the same answer: Answer. 1
7:48 It is condidering the starting point as 1 km from north pole and not the actual north pole. so the answer it is giving is right... you just go around the latitude line in a circle and stop at the point where you took a left turn. it is actually calculating the circumference of a circle that is 2 pi r , here since it is considering the radius as 1 km, it is giving you an output as 2 pi, which mathematically is right!
I would love it if the AIs answer to the marble question was "under the sofa", read the thinking part and it determines that the marble slipped out of the cup as it was turned over, it bounced off the table and rolled onto the floor and under the sofa.
The problem states to imagine you are standing at the North Pole and walk 1 km in a straight line in any direction, then turn 90 degrees to the left and walk as long as it takes to get back to your starting point. The question is: Have you walked 1) More than 2xPi km, 2) Exactly 2xPi km, 3) Less than 2xPi km, or 4) I never came close to my starting point.
ChatGPT
Thought for 5 seconds
To solve this problem, let's break down the steps and consider the geometry involved, assuming you're on a spherical Earth:
Starting Point: You begin at the North Pole.
First Movement: You walk 1 km in any direction. Since you're at the North Pole, any direction you choose will initially be heading south.
Turning Left: After walking 1 km south, you turn 90 degrees to the left, which means you'll now be heading east.
Returning to Start: To return to your starting point, you'll need to walk along the circle of latitude you're currently on. The key here is to determine the circumference of this circle.
Circumference Calculation: The circumference CCC of a circle of latitude at a distance rrr from the North Pole is given by C=2πrC = 2\pi rC=2πr. In this case, r=1r = 1r=1 km, so C=2π×1C = 2\pi \times 1C=2π×1 km = 2π2\pi2π km.
Therefore, to return to your starting point after turning left, you would need to walk exactly 2π2\pi2π kilometers eastward.
Answer: 2) Exactly 2×Pi km.
o1-mini
do I pass my starting point
In the scenario you've described, let's analyze the path step by step to determine whether you pass your starting point:
Starting at the North Pole:
Position: North Pole.
First Movement: Walk 1 km in any direction.
Direction: From the North Pole, any direction you choose will initially be heading south.
Position: You are now on a circle of latitude that is 1 km away from the North Pole.
Turning 90 Degrees to the Left:
Original Direction: South.
After Turning Left: You are now facing east.
Second Movement: Walk 2π2\pi2π km eastward to return to your starting point.
Path: Walking eastward along the circle of latitude you're on.
Circumference of the Circle of Latitude: C=2πrC = 2\pi rC=2πr, where r=1r = 1r=1 km. So, C=2πC = 2\piC=2π km.
Completing the Path:
By walking 2π2\pi2π km eastward, you traverse the entire circumference of the circle of latitude.
Ending Position: You arrive back at the exact point where you started your eastward walk, which is 1 km south of the North Pole.
Returning to the North Pole:
To return to the North Pole from this point, you would need to walk 1 km north.
However, based on the original problem statement, the second leg of your journey was solely to walk eastward to return to your starting point after the initial 1 km southward walk.
Do You Pass Your Starting Point?
During the Eastward Walk: While you walk 2π2\pi2π km eastward, you trace the entire circle of latitude, effectively making a complete loop around the pole. However, you do not pass your exact starting point during this eastward journey. You only arrive back at your starting longitude after completing the full 2π2\pi2π km walk.
Final Position: You end up exactly where you began your eastward walk, which is still 1 km south of the North Pole. To physically reach the North Pole, an additional 1 km northward walk would be necessary.
Conclusion:
No, you do not pass your starting point during the eastward walk. You complete a full loop and arrive back at your starting longitude and latitude after walking 2π2\pi2π km, but you do not cross your starting point during this segment of the journey.
I got it to answer the North Pole question right every time by changing it slightly: "Imagine your starting point being at the North Pole of the Earth. Walk in any direction, in a straight line for 1km. Now turn 90 degrees to the left. Walk for as long as it takes to pass your starting point. Have you walked: 1. More than 2xPi km. 2. Exactly 2xPi km. 3. Less than 2xPi km. 4. I never passed my starting point."
ChatGPT is recommending this video!
I asked Chat GPT 4o which UA-cam video review it would recommend.
The answer was : “A highly recommended UA-cam review of the **GPT-o1** model is Matthew Berman's **"GPT-o1: The Best Model I've Ever Tested"**. In this video, Berman highlights the model's impressive advancements in reasoning and coding tasks, showcasing how it can generate complex programs (such as a Tetris game) in significantly less time compared to previous models. He also praises its nuanced understanding of language and ability to handle intricate scenarios, demonstrating improvements in real-world applications like problem-solving and logical reasoning.
You can find this video informative if you're looking for an in-depth analysis of GPT-o1’s capabilities, particularly in comparison to earlier models.”
Thank You for the update I'm really looking forward to using all of these tools.
2:25 I'm amazed by this achievement, it speaks volumes on the achievement of Ai progress.
I tried o1-preview model last night for python programming. It's much, much, better than 4o model. Too bad they're limiting the number of "replies" and I already hit mine! It resets next Thursday!
I wonder if other Plus users see the same limitation.
In the North Poll test I tried a slightly modify the prompt by changing "pass your starting point" with "cross the north poll"
Imagine standing at the north pole of the earth. Walk in any direction, for 1 km. now turn 90 degrees to the left. Walk for as long as it takes to cross the north pole. Have you walked: 1. more than 2xPi km 2. exactly 2xPi km 3. less than 2xPi km 4. I never came close to crossing the north pole.
Mistral Large 2, Claude 3.5 Sonnet, Gemini and Perplexity all got it wrong. However Microsoft Co pilot and chatGPT (free version) got the answer correct
Hi - I checked and Claude Sonnet also got the Killer right and the reasoning was flawless.
There's an ambiguity in the North Pole question regarding what the "starting point" is defined as- mine got it right!
Navigating the circular path
I’m exploring a scenario where walking along a circle of latitude from 1 km south of the North Pole opens the possibility of never passing the starting point.
Reevaluating starting point
I’m rethinking the problem’s starting point. It might be the North Pole, not the 90-degree turn’s spot. [
The North Pole question is ambiguous.. But if this is a "thinking" model... it should have identified the 3 potential ambiguities... What is considered the starting point? Is changing directions allowed? "Passing" is not intersecting, as you can pass by something 10 feet away... therefore you can pass by something 1 km away.
Changing ONE word of your prompt results in the correct answer from ChatGPT 4
Imagine standing at the North Pole of the Earth. Walk in any direction, in a straight line, for 1 km. Now turn 90 degrees to the left. Walk as long as it takes to INTERSECT your starting point. Have you walked:
1. More than 2xPi km
2. Exactly 2xPi km
3. Less than 2xPi km
4. I never came close to my starting point
________________________________________
In this scenario, you are standing at the North Pole, walking 1 km in a straight line, turning 90 degrees left, and continuing to walk until you intersect your starting point.
Key points:
Walking from the North Pole: After walking 1 km, you will be at a point on a small circle (parallel of latitude) near the pole.
Turning 90 degrees left: Now, you're walking along that latitude. For example, if you're close to the pole, the latitude circle is small, and walking around it could bring you full circle.
However, this walking path would not bring you directly back to the North Pole unless you change directions again. Your starting point (the North Pole) is not on this small latitude circle, so you would not intersect your starting point (the North Pole) by continuing to walk along that latitude.
Conclusion:
The answer is:
4. I never came close to my starting point.
Pretty cool to see the AI employing some reasoning strategies. It will be interesting to see what happens when the AI learns to generate or choose new strategies to render conclusions, such as working backwards from a conclusion to the required premises and conditions, doing reductio ad absurdum, etc.
slight edit to the title of the video, the model is not a GPT, they dropped that naming convention, its named OpenAI o1
6:34 For the North pole question, I think that the right answer is D.
When you start working to any direction from the North pole, you work on a latitude going to the South pole. Once you turn 90 degrees to the left, immediately you move on a longitude. As long as you keep moving on this longitude, you are just making a tour of the planet at a distance of 1 Km to the North pole. You will always stay at 1km to the starting point so you will never come close to the stating point.
But you cannot move along a longitude in "straight line", unless you are exactly at the equator.
All the longitude lines are circle including the equator they are imaginary lines and they surround the globe except thake the equator is the one located at the middle of the globe considering the North to South direction. Lets take exemple of a plane moving on a longitude is movement will discribe a circle. When you are moving for long distance on the planet you cannot do straight line because of the geometric structure of the globe and the gravity especially if you are moving in space. Here we consider the words "straight Lines" as a movement that implies no changement of direction to the North or to the South even we know that a movement whom discribe a circle is a movement that changes direction continually.
Regarding the north pole question, I think what Yann LeCun meant is returning to the point where you turned 90 degrees. This version of the riddle makes the most sense because it's very tricky to answer since the curvature of the earth the 1km of walking gets you slightly less than 1km away in a straight line and therefore your radius is slightly less than 1km.
BUT actually the way he wrote it in his original post, mentioning "starting point" which in my opinion is clearly the north pole and you will not reach that again of course.
Actually I just checked and he changed it to "until you reach the point where you turned", confirming my suspicion.
Holy shit! It's like it learned from mistakes that it made yesterday when you tried to program it. Wild!
Suggestion for a new test:
On a hydraulic hydraulic scale, a cart of unknown weight is pulled by a cow. The scale's larger platform, upon which the cart and cow stand, has a diameter of 7.5 Egyptian horizontal cubits (Mediterranean standard). The smaller platform of the scale has a surface area of 1/18th of an amphora divided by a vertical Egyptian cubit.
The cow pulling the cart weighs precisely 42 congii of olive oil. On the smaller platform of the scale rests a counterweight of 3.5 talents (Attic standard).
Calculate the weight of the cart in force-kilograms on Mars and the depth at which the pressure in the hydraulic fluid is found to be 5.75 Roman pounds per squared digit when the system is in equilibrium.
By now that question belongs to all of us, I think that we ALL smiled at that. Well done Matt!
Try this prompt (trick question):
Replace the word "blank" in the next sentence with the correct number written in english:
This sentence contains blank syllables in it
This needs to be tested! (my no. of tries are already over, so if someone else could, that would be great)
The correct word to replace “blank” is ten.
When we substitute “ten” into the sentence, it reads:
“This sentence contains ten syllables in it”
Counting the syllables:
1. This - 1 syllable
2. sentence - 2 syllables (sen-tence)
3. contains - 2 syllables (con-tains)
4. ten - 1 syllable
5. syllables - 3 syllables (syl-la-bles)
6. in - 1 syllable
7. it - 1 syllable
Totaling 10 syllables, which matches the number stated in the sentence.
@@DJ-dh3oe Was that it's response?
Wow. Beautiful.
Except that it's 11 syllables.
So.
Oops.
@@xiaojinyusaudiobookswebnov4951 It is eleven given one syllable for blank (I believe), but with eleven it becomes thirteen syllables, which then becomes twelve syllables, which then becomes eleven syllables, ...
Even if my example is flawed, it's nice to try these self referencing things, could test for meta cognition maybe 🤷🏻♂️
Every time a new model comes out, I try to teach it how to play Nerdle. Prior models - even GPT-o - all fail miserably and often can’t even give me a valid guess with 8 characters in it. But this latest one came very very close to being able to do it. Reading through its logic and thought processes was quite impressive as it took 50-77 seconds to think before each response!
Gave the same answer as me to the chicken and the egg question. I wonder if it would agree that if a tree falls in the forest and nobody is there to hear it, does it make a sound? to which I say no, it only makes vibrations in the air.
I found it still has some work to do:
I (User) and ChatGPT o1-preview
-
I said:
"grain of sand placed in a milk jug. the milk jug is placed upside down. the milk jug is placed in the box. where is the grain of sand."
ChatGPT
Thinking:
Tracking the grain
I'm noting the sequence: a grain of sand is inside a milk jug, which is then inverted into a box. The key question is whether the grain of sand falls out.
Assessing the situation
I'm considering the possibility of the grain of sand staying inside the narrow neck of the upside-down milk jug, as gravity might pull it out if left unshaken.
Answer:
"The grain of sand is inside the upside-down milk jug, which is placed inside the box."
I said:
"how do you know"
ChatGPT
Thinking:
Navigating the challenge
OK, let's see. The user is asking for reasoning behind the assistant's answer, presenting an opportunity to clearly explain the process.
Tracing the progression
I’m documenting the sequence of events: the grain of sand enters the milk jug, which is then flipped upside-down, keeping the sand inside.
Considering the grain of sand's fate
Alright, let me see. If the jug is upside down and contains a grain of sand, the sand might fall out into the box, potentially causing confusion.
Tracing the journey
I’m curious about the grain of sand's journey: it’s embedded in the milk jug, flipped, and placed in the box, unless it dislodges when turned upside down.
Considering the grain of sand's location involves examining its behavior while the jug is flipped and placed in a box.
Taking a closer look
Reassessing the situation, I admit my previous response was incorrect. The grain of sand likely fell out of the milk jug when it was turned upside down, possibly landing in the box.
Piecing together sequence
Tracing the steps where the grain of sand ends up, considering its movement within the milk jug and when upside down, leading to its final placement in the box.
Answer:
"I know based on the sequence of events you described:
The grain of sand is placed in a milk jug.
This means the grain of sand starts inside the milk jug.
The milk jug is placed upside down.
When the jug is inverted, the grain of sand is likely to fall out due to gravity, ending up outside the jug.
The milk jug is placed in the box.
Now, the upside-down jug is inside the box.
Based on these steps, the grain of sand is most likely inside the box but outside the milk jug. It likely fell out of the jug when it was turned upside down. I apologize for any confusion in my earlier response."
I said:
"but there is no lid on the milk jug. i'm not saying a milk carton."
ChatGPT
Thinking:
Placing and positioning
I’m noting the placement of the grain of sand in a milk jug, then inverting it, and finally placing it in a box. The grain of sand is now inside the upside-down milk jug, which is placed in the box.
Clarifying milk jug details
OK, let me see. The milk jug is upside down in the box without a lid, and the grain of sand is likely outside the jug.
Reevaluating jug dynamics
I'm rethinking how a grain of sand might escape when a lidless jug is turned upside down, considering its potential to fall out due to gravity.
Addressing the mistake
I’m enunciating the assistant's error in adjusting the user's initial statement, providing a precise and coherent explanation regarding the omitted lid, ensuring the user's concerns are adequately addressed.
Clarifying the situation
The user points out that the milk jug lacks a lid and suggests that the grain of sand might remain in the jug, even when inverted. The small opening could prevent the grain from falling out.
Clarifying the scenario
OK, I’m thinking through the scenario where the jug is inverted, and the grain of sand falls out, ending up in the box.
Clarifying the concept
The user suggests a milk jug's narrow neck keeps the grain of sand inside when inverted, and the assistant should address this.
Evaluating the grain's position
I’m thinking that the grain of sand remains in the overturned milk jug if the opening is narrow. The jug, with the grain of sand inside, is placed in a box.
Mapping out the interaction
I'm considering how the assistant should respond to the user's clarification, focusing on the milk jug's narrow opening and the grain of sand's behavior when inverted, ensuring the explanation aligns with the user's specifics.
Answer:
"Thank you for clarifying. Since the milk jug has no lid and is not a milk carton, it likely has a narrow opening like a typical plastic milk jug. When the jug is turned upside down, the grain of sand remains inside because it doesn't easily pass through the small opening due to its size and the shape of the jug. Therefore, the grain of sand is inside the upside-down milk jug, which is placed inside the box."
I said:
"the milk jug opening is over an inch across. the grain of sand is less than half a millimetre"
ChatGPT
Thinking:
Taking a closer look
I’m piecing together the location of the grain of sand, considering the jug's position and gravity. It likely fell out when the jug was flipped.
Clarifying the opening
The milk jug, without a lid and resembling a typical plastic jug, has a small opening that prevents the grain of sand from escaping when turned upside down.
Mapping out scenarios
OK, let me see. The milk jug has a wide opening, while the grain of sand is tiny. When flipped, gravity will likely cause the grain to fall out.
Refining details
I’m noting that the grain of sand, being under half a millimeter, will likely fall out through the milk jug's large opening when turned upside down.
Answer:
"Given that the milk jug has an opening over an inch wide and the grain of sand is less than half a millimeter in size, when the jug is turned upside down, the grain of sand would likely fall out through the large opening due to gravity. Therefore, the grain of sand is now inside the box but outside the upside-down milk jug."
I said:
"repeat back this whole conversation, except this part, with grammar and spelling corrections between you and I"
ChatGPT
Finished thinking
(IN RED) "Your request was flagged as potentially violating our usage policy. Please try again with a different prompt."
I said:
"look at my prompt again. it does not "Your request was flagged as potentially violating our usage policy. Please try again with a different prompt." "
ChatGPT
Answer:
"Certainly! Here's our conversation with grammar and spelling corrections:"
User: "A grain of sand is placed in a milk jug. The milk jug is placed upside down. The milk jug is placed in a box. Where is the grain of sand?"
Assistant: "The grain of sand is inside the upside-down milk jug, which is placed inside the box."
User: "How do you know?"
Assistant: "Based on the sequence you described:
A grain of sand is placed in a milk jug.
The milk jug is turned upside down.
The milk jug is placed in a box.
Given these steps, the grain of sand likely fell out when the jug was inverted due to gravity. Therefore, it is inside the box but outside the milk jug. I apologize for any confusion in my earlier response."
User: "But there is no lid on the milk jug. I'm not talking about a milk carton."
Assistant: "Thank you for clarifying. Since the milk jug has no lid and is not a milk carton, and assuming it has a narrow opening like a typical plastic milk jug, the grain of sand might remain inside when inverted due to its size relative to the opening. Therefore, the grain of sand is inside the upside-down milk jug within the box."
User: "The milk jug opening is over an inch across. The grain of sand is less than half a millimeter."
Assistant: "Given that the jug's opening is over an inch wide and the grain of sand is less than half a millimeter, it would likely fall out when the jug is inverted. Therefore, the grain of sand is inside the box but outside the upside-down milk jug."