What Is A Paradox?
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- Опубліковано 2 чер 2024
- Most people think of paradoxes as unanswerable, contradictory questions deliberately designed to confuse you for no good reason. But they’re actually a lot more complex than that; some paradoxes can be answered even if they seem impossible, and others are obviously wrong... but it may take thousands of years of human experience and the invention of calculus to prove why.
Join Kevin, some action figures, three envelopes and a whole lot of whiteboard doodles as you discover the three types of paradoxes: Veridical, Falsidical and Antinomy, and why each one plays a unique role in how we process the world around us -- including finally learning how there’s a mathematical explanation for why you should always switch doors in Monty Hall’s classic game show.
** SOURCES LINKS AND MORE **
“The Ways of Paradox and Other Essays” by Willard Van Orman Quine: www.amazon.com/Ways-Paradox-O...
Zeno of Elea, Stanford Encyclopedia of Philosophy: plato.stanford.edu/entries/ze...
Zeno’s Paradoxes, Stanford Encyclopedia of Philosophy: plato.stanford.edu/entries/pa...
Convergent Series, Khan Academy: www.khanacademy.org/math/calc...
“Game Show Problem” by Marilyn vos Savant, Parade Magazine, 1990: marilynvossavant.com/game-show...
“Solution to the Grandfather Paradox” by minutephysics: • Solution to the Grandf...
“The Faint Young Sun Paradox!” by MinuteEarth: • The Faint Young Sun Pa...
***********************************
Vsauce Links
Website: www.Vsauce.com
Twitter: / vsaucetwo
Facebook: / vsaucetwo
Hosted, Produced, Writing Contributions And Edited by Kevin Lieber
Instagram: / kevlieber
Twitter: / kevinlieber
Website: kevinlieber.com
Research And Writing Contributions by Matthew Tabor
/ matthewktabor
Writing Contributions by Michael Stevens
/ vsauce
VFX By Eric Langlay
/ ericlanglay
Special Thanks Paula Lieber
www.etsy.com/shop/Craftality
Select Music By Jake Chudnow: / jakechudnow
"I am lying"
"No, you're sitting."
*Solved*
A and M shhhhhh 🤫
No, he's actually lying because he's lying about lying (sitting).
Tien Trien Nguyen big confusion
You deserve a Breakthrough Prize.
He's too smart to left alive.
2 doctors together is a Pair-o'-Docs
Lol you’re right
Underrated comment
I see the potential in this comment
Man you sound like eminem
🤣🤣🤣🤣🤣
"I am lying"
"Hi Lying, I am Dad"
Solved
I literally just thought of that BEFORE watching this video.
@Dat Boi so good I will now eat ice cream as a reward
O-O
I advise you to not take my advice
@@oneleaf11 thats a dilemma tho, not a paradox
or is it?
My favorite paradox is the Astley paradox:
If you ask Rick Astley to give you the movie “Up”, he will not give it to you because he is never gonna give you Up. However by not giving you Up, even though you asked for it, he is letting you down.
Oh yeah
And he can't Run Around and Desert You either.
wow
Yes another paradox in that song is the fact that his refusal to say goodbye would make me cry.
We need rick astley to perform an experiment to confirm this paradox.
Shouldn't 3 choices be a trilemma?
the more you know
Dotriacontalemma
You completely missed the lecture.
After 2 it should be called a polyemma.
Do I choose envelope number one...or one of the other two envelopes! Oh no! I still have a dilemma!!! :-)
10 PM: Im gonna sleep
3 AM: *me watching this, questioning the meaning of life*
+Ha Truong.............then eventually going to bed only to find you can't sleep!
Same
Literally exactly 2:59 am as I'm writing this.
I need help.
11:53 here
i was saying this to myself last night at 2am. But forced myself to go sleep, and comeback today and watch it.
xD
“I’m lying”
“No your not you’re Kevin”
Solved
@@kaushikisaxena2026 he has changnesia
@@kaushikisaxena2026 The complete loss of memory caused by a sudden trauma that was, itself, also forgotten.
It is a meme from a series called Community
"Yes you are you're Kevin"
@@reywashere5284 okay
💬☠
With soundtracks from Netflix's Dark, this kind of videos would be AWESOME
"These"
Hmmmmmmmm
I prefer jake chudnow
The thing is that dark has no paradoxes
@@EffyStonemBroken_heart yes dark do have paradoxes
What will happen if Pinocchio says: ``Now my nose will grow``?
Nothing because he became a real boy in the disney version, dead in the grimm brothers version (attempted suicide i believe), and assuming this paradox is in your mind then you will never know thus causing nothing to happen.
Ensues a machine every girl would love to own.
he destroys the universe
It would mean he is “lying” but thinks he is telling the truth lol.
Assuming that his nose is objective, and assuming it does not distinguish between lying and being wrong, Antimony.
The restaurant owner said “the customer is always right” and then the customer says “no we’re not”
Edit 2022: sorry about this comment, it’s no good
Paul’s Existence The owner’s statement sidesteps this problem by his statement that the customer, regardless of if the customer is lying, wrong, or telling the truth, he will always take their statement as true. The customer’s logical statement is not evaluated for truth or false; it can only be true in his eyes because he refuses to take it as anything but true. Software can be programmed to do this exact thing simply by making a scripted function return either a true or false value always regardless of input.
K
I’d say that a better example is “This statement is a lie”
Edit: I commented this before watching the entire video and I feel like a genius
@@bruxinth4660 that statement is often made without much thought. There are always limitations on what a business owner will tolerate from customers. As a taxi driver, I know that sometimes the customer is dead wrong, and needs to get on out.
just cuz he isnt always right doesnt mean he is always wrong
I have watched several videos of his now, and I have to say, his best quality as a presenter, is the "go with the flow" and improv he does. He is great at it
The Achilles and the Tortoise one seems pretty simple to me even without the infinite-to-finite explanation ngl
Achilles can beat the tortoise in the race because he isn't trying to reach the tortoise, he's trying to reach the goal. And since the goal isn't moving, he should reach it before the turtle
In another way, all Achilles needs to do is go to the place where the tortoise will be in the time duration he will reach that point then he can easily overtake it
Yeah now prove it mathematicly
@@kababuo1989 I mean theoretically if it were a 1km race and the Tortoise had a 100m headstart while sprinting 6m/min while Achillies was running at 633m/min (or 38km/hr), we can calculate that it would take the tortoise 150 minutes while Achillies would take just over a minute and a half. Obviously this isn't wasn't the point of the Falsidical Paradox but simple algebra (by today's standard) and calculus makes quick work of it
I think the paradox is not that in the CONCLUSION of the proof "Achilles cannot catch up to the tortoise" as we (and even Zenon) knew it was wrong. The paradox lies (or rather lied) in the why Zenon PROOF is, in fact, not a proof of this conclusion.
@indisou well then just for that case, Zeno also had given us the Arrow paradox, in that even with a stationary goal, the subject (Achilles or an arrow) wouldn't be able to get there, since first it would need to reach the half-way point, then the middle between that and the goal, then the next middle, and so on. For infinity. :-B
I love that you gave up on that last little piece of tape
Lee Henry I am the only reply so far with a comment of this many likes?
Delirium RedBonnie no
Orbitum Collosus I said so far
Dabber boy
he didn't...
After watching this I'm even more confused about what a paradox is.
After seeing this video am now confused why i can't find a translation of this word in to Deutsche
Think he's over complicating it... Paradox is as he says... Distinct from.... Our opinion SO it IS a mind teaser because one has an opinion about an outcome (like the tortoise example) that turns out to be "incorrect" ie: Distinct from.. Our opinion!! Of course until its solved...if it ever is 🥴
No he is just using latin to translate ancient greek like a Pleb. Para - Beyond, Dox - belief
Modern translation - Mind F%?K
The breakdown explained what one is however as new information is taken in about the subject the viewers perspective shifts(presumably speaking) meaning shift of opinion so if a paradox is something that does not coincide with the opinion then learning what a paradox really is in terms of definition could clarify or create a "new" paradox for the observer/viewer/etc. (confusion) could be wrong but hey what are comments n forums for if not to learn debate etc.
Paradox: Two medically trained physicians in one place at the same time.
It’s 2am and paradoxes scare me now
oh cool
(why do I always say that)
Grand prize is the Globglaglabglab, right?
Of course
Sixfork Yes
Sixfork Weeeeeeeelll, yes....
*Sixforks
Of course he is, he's the yeast of thought and mind after all
*takes a break from calc homework for UA-cam videos*
“What we have is a CONVERGENT SERIES”
*cries*
:)
Dude same, it actually hurts
More like a double treat of amazing maths.
Geometric Series: Sum to infinity
at least this one is way more fun to listen to
UA-cam really just recommended me this in the middle of the night
My favourite two...
The Motorway Sign Paradox
While travelling on a motorway in the UK I passed an electronic sign which had "SIGN NOT IN USE" displayed...
The Blank Page Paradox
When reading a document and you turn a page to reveal the next, which has "THIS PAGE HAS BEEN LEFT BLANK INTENTIONALLY" printed on it...
They're more like amusing contradictions than paradoxes
If I entered a loser contest, would I win first place, or last place?
How does one get disqualified though?
Ask DJ Khaled.
Johnny Pope considering entering the contest doesn’t guarantee a win or loss, I would have to answer I do not know. I don’t know what happened after entering the contest.
just have you contest for first place like normal then invert the ranking -_-
Depends if you won or not
>get to choose the envelope
>one million dollars or globglogabgalab
>sweat dripping down body
>palms also sweaty
>knees weak
>moms lasagna
>choose one after a while
>please please please please
>one million dollars in the other envelope
>it's the globglogabgalab
>YES
>i won
«Claps slowly»
What if a globglogabgalab costs only 1 dollar and I get the million dollars? Obviously I'll go to the store and buy a million globs.
greentext on yt?
why not
wait guys i'll go eat a sandwich
I just randomly thought of the liars paradox myself one day and i thought i was so smart for coming up with it, and then i see this video...
So far, this is the best Monty Hall description that I've seen on UA-cam.
If you notice 1961 upside down is 1961
That's partially true. Only if rotated 180 degrees, but not if flipped.
What about 0?
did you get that from Vsause 1?
Image search "ambigram" - those are cool too.
It’s L96L
“VSAUCE! kevin here.” caught me off guard
Moldy Hammer
Same
Mr. Meme Bucket thanks
Did you just step off the boat?
Have you never seen a vsauce video before?
Someone’s new to Vsauce...
"i am lying"
You are both lying and saying the truth
Paradox resolved.
which is what makes it a paradox in the first place, if hes both lying and saying the truth hes both wrong and right
@@whatinception im gonna say that is a quantum statement
Schrödingers Lyer.
Did u notice the vid is 2 years old and mentioned glubglubglabglab
Yes i noticed the video is 2 years old, and?
“it took inventing calculus for us to prove why” hell of a quote taken outta context
My favorite paradox is saying the phrase "it's opposite day"
Yeti Man not necessarily a paradox, “it’s” is extremely ambiguous to the point where it’s prima facie doubtful that the statement “it’s Opposite Day” possesses truth-value at all (propositional content), making it possibly unfit to be called a paradox at all, as opinions are nearly always supported by propositional content. In other words, it is quite possibly impossible for you to authentically hold the opinion “it’s Opposite Day” in any useful, communicative sense.
@@GratefulforFreePress wat.
@@person8064 exactly what i thought
Or your lying on regular day
Isn't that phrase more of an oxymoron
paradox, noun: two structures built over water, often of wood or metal, for the purpose of docking boats.
Yep. We've all heard that at Disneyland.
Paradox: a game company that makes more DLC's than EA but no one has a problem with it.
hah
Please stop I've called the police
Alternatively, two medical professionals.
Mind puzzles are amazing! Possessing a constant running,analytic motor for a brain such as mine, material such as this just elevated it to a cosmic level of consciousness. Thank you so much! I am truly greatful
A better way to imagine the Monty hall problem is by changing the 3 options to 100 options. You randomly choose 1 out of the 100 options, but then the host opens up 98 other doors, all devoid of the prize. With a larger sample, it seems much more logical to switch.
Why would I still switch? 😂 It is still after all 50/50 from the remaining options.
Edit: Aaaaand now I got the idea. Took a while 😂 That is indeed a great way to explain this.
when you hit that question and music at 1:25 my brain went into full vsauce inspiration mode,
a continued thanks for watering the seedling of my mind 🙏🙏🙏
I was pretty amazed
schmoyoho oof same 😂
Whenever I read your comments, I think of you sounding like your end credits of your videos where you promote your other stuff.
Same
Accent on the ‘yo’
5:29 only grand prize I want is that thicc yeast of thoughts and minds.
Ethan
thots*
Mmm, splendid!
reeeeeee
So calculus was invented to find out about Achilles and the turtoise?
God darn Greek philosophers
😂
"I am lying"
"No, you're Balloon Kevin"
Easy.
nice
Modern day paradox:
Entry level position - 2-5 years experience required
Yup
Literally
Too real
That's called a Catch 22.
a catch 22. as in 'il' catch you in 22 years when your estill looking for work"
This is the first video I’ve seen of yours and I just was amazed at your white board table lmao
Watching a video like this always makes me want to own a whiteboard. Then, I remember that all of my math courses are behind me, and I would never ever use it.
we use these for school lol
Mood
I thought the water stayed there because the earth and it’s core is hot or am I thick, I thought that it was chemically easier to keep water at liquid state and the pressure of the water/earth or atmosphere kept the water at liquid state because if you pressurise ice it turns to water, liquid form, as water(l) is more dense (hence why ice floats). And this explains why very cold planets still have deep seas with thick layers of ice as at some point in the pressure and as you get closer to the centre of the planet the water can no longer freeze regardless of how cold it actually is
Wow very nicely put together - even the tape!
What is a paradox?
Two doctors.
Ha I get it
Yeah...you probably just went over the majority of people's heads on that one lol...I got it though.😂😂😂
thats paradocs!!
Pair o docs
Haha
"We have three envelopes..."
Oh no, my Monty Hall senses are tingling.
Same
I'd say the issue with Zeno's paradox is simply the fact that the time span you're looking at grows shorter and shorter. Let's say the tortoise has a 10 meter head start. Achilles will run these 10 meters in 1 second. So you're looking at what the state after 1 second. Now the tortoise may be 1 meter ahead. Achilles will move this 1 meter in 1/10 seconds, so you're looking at the state of things after 0.1 seconds. The tortoise is now 10 cm ahead, Achilles will move these 10 cm in 1/100 s, so you're looking at the state of things after 0.01 seconds. Of course, if you continuously look at a time span within which Achilles doesn't move far enough to catch up with the tortoise, then it will look like he never catches up.
Vsauce2 - If you haven't done it, blow everyone's mind with the "If one child is a boy, what is the probability the other is a boy?" puzzle.
It's 1/2. Since there are 2 outcomes and one favourable outcome.
@@me.myself.i - If you can find it, go read it. It's actually 1/3.
Now is difficult to know because trans get in the equation.
@@frankhurst9665 Unfortunately, when I searched it, I was trying to see the whole puzzle (not realizing you'd nearly presented the entire thing) and saw the solution instead of the puzzle.
Here's the whole puzzle, for anyone else who comes by:
(Assume two genders) If you have two randomly selected children and you know one is a boy, what are the odds that the other is a boy?
I'll even tell you, (since it's up above) the answer is 1/3. But you still need to figure out why.
This makes me think of Russell's coin problem, from which the Monty Hall problem is derived.
@@Mythraen - Thanks for checking! Stay cool.😎😎😎
If everything is possible, is it possible for something to be impossible? (Anatinomy)
I'll use your own words. "If everything is possible"
@@llll-lo6jj right, you missed the point.
If everything was possible, that would mean the impossible is possible...
Dirty Dinosaur I think they meant that not everything is possible. Aka they weren’t playing along with the “what if”.
@@nathanevans.se1668 oh. Well that's just a issue with that words connotation. Possible and impossible are just variations of the same word, so no. It's either possible or impossible. What he's trying to say is like saying " if everything has color, can something be colorless?". The answer is no, it's one or the other.
Oh. That's just a issue with the words definition. The answer is still no. If every thing is blue, can something be red? No.
What would happen if Pinocchio said "my nose will now grow"?
It wouldn't grow, but because it doesnt grow, it counts as a lie, but then since it's a lie, it does grow, making "my nose will now grow" the truth. But since its the truth, it shouldn't have grown? You get me?
DAMN. Hunter when you search up a paradox on Google
It would grow, then shrink
This literally just made my head hurt
MIKO maybe if it ran in a cycle like when u just read the comment in an order but technically it would all happen at the same time so would it just not do anything because he’s lying but then not lying at the same time
i fink it would grow then shrink forever
If you say “it’s Opposite Day” that’s a paradox
It took me 4 minutes to find out that the table had a white board on it
13 year old be like. " I'm gonna confuse my friends so good"
Tawana Chikwanda *24 years old and still saying the same thing
29yr old but cant say.
no friends
Tawana Chikwanda lol I'm 13
I'm 13 and I was just thinking that
13 years olds be like:
I am gonna impress her with this.
I like how half of his face is red and the other is blue, just like his shirt
Once you see it
You cant unsee it
@@noeruchangd ow yeah, when i watched him one of his videos i thought the same and wanted to comment about it but later on i watch more and totally forgot about that
lol
His shirt is red and grey....
@@@0o0ox Oh snap
I had to go back and look.. and yes.. now that I see it..you can't unsee it.
When he mentioned the Achilles and Tortoise paradox I was like, he better mention the solution cause I heard it before and I’d be really upset if he didn’t mention there was a solution
The reason the game show paradox seems to be a paradox is that we all naturally assume that the host has no more knowledge of what’s going on then we do….. which is actually a fallacy, because as you mentioned, his job is to lead you away from the more lucrative choice so that the game goes ahead the way that he wants it to. It is the host’s desire and unmentioned secret knowledge that actually causes the need to switch choices.
It should be noted his knowledge isn't strictly necessary.
The original version of this puzzle didn't have a third party.
Let's assume Monty Hall doesn't know and he picks one of the two doors you didn't pick at random.
It'd be really awkward if Monty Hall opened the door with the car behind it, but in that case, you should switch to the one he opened (if allowed).
But, if he opened a door and there wasn't a car behind it, you should still switch, because _you_ now know things you didn't when you first picked.
Hey Kevin, i just watched through some of your old videos to be surprised by a new one right now, what a wonderful day. Originally i wanted to write this comment under your other vids but here the chance is higher you see it. Just wanted to say thank you. Your videos are by itself interesting but the way you tell them, especially the ones about the color blue, dragons and the planet behind our eyes are so unbelievably inspiring for me and move me deep down. I just can't put it into words im getting goosebumps by your last sentences of every video. i don't know if i overinterpret but when i think about your words and your sentence the way you said it etc. i eventually get the true meaning behind that and as well in music and in speech thats what i think is the most entertaining. just like suddenly understanding a mathematical equation for me it's so satisfying to grasp the meaning of something someone said. in addition to this brilliant music and the way you tell us about that topic you create not just a piece of work but imho a piece of art that at least for me touches me emotionally. So thank you so much for your inspiring videos and please never stop doing it because if you were i probably wouldn't enjoy to learn anymore at least not as much as i do with your truly magnificient videos.
Thank you
Thinking the same. Thanks, Kevin!
You put my exact thoughts into words, could not agree more.
Jonathan Frakes yeah. Take this praise for what it is and more kevin
I teared up a little.
Riker? Is it really you?
There was a 1/3 chance that one of the tape strips would not peel off completely.
Funny
@Unknown Entity
Yes, Whether or not the tape would tear is a 50/50 chance, but the probability that it was the "Antimony" card is 1/3.
1/3 +1/3 + 1/3= 1
Or does it?🤔
@@adir6094 but it can't be 1/3, because there is a chance that more than one card could tear, right? Is that how this works? (I'm not a math person)
@@Morgan-oq7uj You're right, if there's a p chance that a given tape would tear, the chance that at least one would tear would be p + (1-p) * p + (1-p) * (1-p) * p (the chance that the first tape tears + the chance that the first tape doesn't tear but the second does + the chance that the first and second tape don't tear but the third does (about 70.4% chance if p = 1/3, 87.5% chance if p = 1/2)
If there's a 50/50 chance that at least one tape would tear and you want to know what the odds are that the antinomy tape tears, the equation would become p + (1-p) * p + (1-p) * (1-p) * p = 1/2 and you'd want to know p... Then the result is 1-1/2^(1/3), or approximately 20.6%.
If there's a 1/3 chance that at least one tape would tear, the odds that the antinomy tape tears would be approximately 12.6%
I like maths too much...
It’s crazy how much math has advanced. You’re telling me a Greek scholar couldn’t mathematically prove that Achilles could catch up to a tortoise but I can prove it using the knowledge I got from my first year in high school!
“I am lying”
Why are you in my house?!
Solved,maybe.
I find a better version of zeno's paradox theory is this:
Imagine you're a runner in a race, to get to the end you need to get to the halfway point, to get to that halfway point you need to go to the halfway point of that, and then the halfway point of that halfway point, ext. It will go on forever, but we can't run for an infinite amount of halfway but somehow we do. I find that way easier than the archilles and the tortoise one.
The classic calculus example is shooting an arrow at a target. How long will it take to reach the target? Divide the distance traveled in half. It has taken some amount of time to travel the first half. Now divide the second half of the distance in half again. Again the first part takes some amount of time to be added. We can keep dividing the distance left to travel in increasingly smaller parts which all take some small amount of time. An infinite amount of distances to travel that each take a bit of time must add up to an infinite time. Now just use the idea of limits. As x goes to infinity y goes to 1 so y=1
this is simple one this doesn't even challenge my thinking
It's just a divided-by-2 infinite sequence
This isn’t a parallel because at a point your halfway point is so small you physically have nothing that can parallel its size. Even when you reach the smallest building blocks of our earth(atoms). You would still be theoretically one atom away from the finish line. And from there on there is no way to reach another halfway point. Because there is nothing in between that atom and the atom making up the finish line it is obvious you would finish the race.
Ever thought about timer?
The more halfway points there are the less time u need to reach the first one...
If Pinocchio said “My nose is going to grow now” what would happen?
nose.exe crashes ofc
True
I'd say it would grow: for a few moments when he said it, the nose didn't grow, so he lied. Therefore, the nose grows. He didn't tell the truth because "now" is no longer now.
Alex leonardi your cool
It would grow, then go back, then grow again and so on and so until until his death. That or grow inside his head, therefore growing and getting shorter at the same time. That or it could reveal the answer, solving the problem once and for all.
The Delivery is extremely BRILLIANT.
Thanks for the explanations!
I know there are probably too many comments saying that, but I have to add on to that : it's a work of art, your video, Kevin, I wish you all the best!
Petko Ditchev I'm french
When the Jake Chudnow music kicks in...you now it's a good episode
What’s the actual song called
Know
Matthew Shezmen I'm french
Song at the beginning is Movement. The one at 1:25 is not any Chudnow song I know of.
Matthew Shezmen I love your animations dude!
My husband brought the Monty Hall problem to me (him knowing the answer) and asked me if I would switch. I said yes, I'd have better chances that way. My way of explaining wasn't as clear as this, but it did factor in the idea that your first guess is only 1/3 so switching over gives you 2/3. This was intuitive to me, it felt natural.
My husband was shocked. He told me about Marilyn, and I was kind of amazed. I'm lucky my brain works that way!
I know a paradox it's called the Ashley Paradox where you ask him to give you the movie up where if he does he "*give you up*" but if he doesent he "*let's you down*" and he said "*never gonna give you UP, never gonna LET YOU DOWN*"
My introduction to thinking about the concept of a paradox goes back to a story I read many, many years ago. Two characters were discussing time travel. One said he didn't believe it could happen because it would create "that double duck thing". It actually took me a few years to realize what he was referring to: double duck - two ducks - pair of ducks - paradox.
This is the first time The Monty Hall Paradox was explained a way that makes sense to me.
Everyone seems to omit the fact that the removed option will never be the jackpot.
That lack of information is what confused me all these years. Thank you.
Glad it cleared things up! It can definitely be tough to wrap your mind around Monty Hall.
Buzz The Buzzard Dam u is stupide bruh
ChikenNoodleSoup If you can't see that the jackpot being removed at any stage instead of knowing that it would never be removed on the first pull then you have no business replying to this comment.
All I could think of when he explained the 2nd one was the Monty python skit, which obviously made me think of: “BONE?!?!?!”
I enjoy that you left the tape debacle in.
Just have to say what an amazing video. It's really hard to keep ones attention with these kind of videos but you've done it perfectly. Hope to see more videos like this !
TheTypa I'm French
It's only a small loan of a million dollars. I prefer the 'globgoglab' or something
At least it's something unique that no one else has. So it's value is infinite.
The irony of me picking the right envelope, switching, and then getting it wrong.
my favorite monty hall problem explanation lies in the fact that the host randomly picks an incorrect door if you choose correctly, but they can only pick one door if you choose incorrectly, therefore it is twice as likely that the door was opened through you choosing the incorrect door compared to it randomly being picked after you picked the right door
funnily enough, i believe this means that since kevin probably wasn't allowed to reveal antimony early, there's no advantage to switching in this video's version of the problem
My favorite way of explaining the Monty Hall paradox is this: Imagine there are millions and millions of doors, and you choose one. Monty opens door after door, but you are steadfast and never opt to switch, instead holding on to your initial choice. Eventually there are two doors - one that you picked, and one that Monty picked (he chose this one to be opened last by choosing every other door before it).
Now, what do you think is more likely - you picked correctly the first time, with the millions of options presented to you? Or Monty picked correctly, given that *he already knows where the prize is*? Obviously Monty just opened every door except for where he knew the prize was. You are overwhelmingly more likely to win if you switch.
Well, the same is true with 3 doors, but the numbers are smaller.
This explanation really helped me to understand the monty hall problem. Thank You!
If the guy who had to open Millions of doors. Left the prize door last intentionally can you trust him? If he knows you have the option to switch. And you think switching improves your odds.. maybe Id stick to my door. For me to switch is exactly what he wants so he can get the prize.... although.. the chances I picked the prize door the first time are litterally 1 in a million.
just wanted to thank you for the subtitles, i’m hard of hearing and i love learning about this kind of stuff
The "Monty Problem" was a tough one for me to wrap my head around when I first heard about it. Once you "get it" it's sort of like a light bulb. You did a good job of explaining it... basically you can choose door number one, or by switching you get door number two AND three... and the host just shows you one of those doors that doesn't have the price. It's definitely not 50/50 chance once he reveals a bum door.
That is not the reason switching doubles the chances of winning in the MHP.
@@klaus7443 actually it is. Your first guess is .33 chance... if you switch it's .66 because essentially you're getting both of the other doors, the host just shows you one of them that's obviously not the prize.
@@urwholefamilydied "if you switch it's .66 because essentially you're getting both of the other doors"
Can't you read? That is not the reason switching doubles the chances of winning in the MHP. In your explanation the host doesn't even have to know where the car is while in the MHP the host must know where it is and deliberately reveal a door with a goat. If the host didn't know where the car is then it's 50/50 if he revealed a goat.
@@klaus7443 I just said in my last comment "the host then shows you one of the doors which obviously is not the prize". You on crack bro. (also in your last comment, "can't you read". LOL, your first comment didn't give any info on why you think I'm wrong. Yes I can read, you didn't say anything... again, lay off the crack)
@@urwholefamilydied Lol...if one door has a probability that is twice that of the contestant's door then having two doors is not the reason switching doubles your chance. Use your head, if the host knows where everything is then he can give that door with a goat to the contestant....now he has TWO doors with still a 1/3 chance of having the car.
We get your type of explanation all the time from those like yourself who knows the answer but not the reason as to why.
10:12 This says a lot about our society
LMFAO I have a remote to control the light in my room and the moment he said "What is a paradox" And that weird sound thing going up and down started my light went up and down with it and I was like "WTF IS GOING ON" and realized that I was accidentally leaning on it but it just made it so much better
LOL
Coldfira just
Now check your christmas lights, are they flickering strangely?
Jared Nagle I see the reference you made there
Does anyone know what the song there is called?
If life is unfair for everyone, does it make it fair for everyone ?
Wuzi Moo no because different levels of unfairness?
No, because we can visualize this as having two sides, "Life" and "Everyone". You can imagine them playing a game where Life is cheating and making it harder for us to win.
If everyone is different, doesn't that make them the same?
Some people are more fair than others.
Wuzi Moo i like this paradox
One paradox I heard of is this one: Pinocchio says: "My nose will grow!"
If his nose is growing, than he wasn't lying, so his nose shouldn't grow at the first place.
If his nose doesn't grow, than he was lying, but in this case his nose should have grown.
The Rick Astley paradox:
If you ask Rick to give you the movie "up", he cant, since he can never give you up, but in doing that, he is letting you down. What should he do?
copied coment alert!
He could send you to a movie theater to watch Up
The globgobgabgalab must be the grand prize
Legend
Wtf is one of dem
duh
@@safetygoose7419 i am the yeast of thought and mind
@@elliotplummer8666 ?
Now I know why Kevin has been tweeting about the yeast of thoughts and minds.
Lawrence Calablaster how
Greenfire 317 It’s part of the Globglogabgolab’s song
Lawrence Calablaster
shwabbledabbledibbledabbleschwibbleshwabglab
*This basement is a true treasure trove*
Its been 3 years since i started watching Vsauce, and I STILL WANT THAT DRY ERASE TABLE!!
Thanks for informing me, I understand part of it now!
I love how he's wearing a red and blue shirt and also Is using red and blue lighting on his body dividing the pallets perfectly
I just realized that the three Vsauces are like the three paradoxes. 3 is like Falsidical, 2 is like Veridical, 1 is like Antinomy
One could antimony. Seafood anyone?
@@djyahtzee7260 i get the joke
that doesn't even make sense
@@JetstriderAkiviya ELI5....
*H E L L O , M I C H A E L H E R E*
5:05 a wonderful prize
Truly the best of the bunch
A life changing prize
I know that the Achilles paradox isn't about an actual person running but about some infinite mathematical shtick, but if it was an actual person he wouldn't be dividing the distance between him and the tortoise but rather just running at a constant speed towards the turtle
The below statement is false
The above statement is true
R K this is a paradox ...
The answer is both statements are incorrect
So both statements are False.
These are logically inconsistent statements, which reference each other. It's the opposite of a tautology.
x = y + 1, y = x + 1
solve for x.
Congratulations you just posted the commonly used examples of a paradox, you twat
Paradox: Two people with PhD's (pair o' docs). :)
For the Monty Hall problem, the key is that Monty has knowledge of the system (and you do not). When he opens one door, it is NOT random. He has to ensure that the prize remains hidden. Basically if you originally choose a wrong door (and that will happen 2 out of 3 times) Monty is forced to show you where the prize is, by default, by opening the only other non-prize door that he has available.
note that the monty hall problem was never actually a fact on the show, there was no rule saying he HAD to open a door at all, and there was no rule that he HAD to allow you to switch. if these exact circumstances happened it'd be favourable to switch yes, but the fame of the paradox has misled people in regards to the show itself
thanx raven lord..now i get it.
raven lord thank you so much, I couldn’t understand how it actually improved your chances but now I get it
Thank you. this has annoyed me so much in the passed and in this very video.
Richard Spere ok you just resolved my issue with the paradox. Even in ravens explanation I still thought it was a constant that an option would be removed after picking a prize. I thought "but if you know he's gonna remove 1/3 options after you pick, it really doesn't matter"
Honestly, given the choice between the Globglogabgalab and 1 million dollars, I would take the Globglogabgalab in a heartbeat.
I like the lights, one is red the other is blue, it makes the theme come to life
That shirt and lighting is lit, I like how the reds are redder and the blues are bluer
I'm not going to leave a comment.
Supremax67 I'm not going to leave a reply
I have not read your comment.
Chocolatier I have not read your reply.
I don't have the time to come here and post my feedback.
I still don't know anything....
Шеll тнат's а sосгатiс рагаdох...
@nikola plays I am not sure, but that looks a bit like the russian alphabet. Not sure tho
@@greippi4563 its ukranian alphabet I recon
@@greippi4563 ye there is some Cyrilc ( Used by Slavic nations)
@@greippi4563 no where near Russian it’s вгжнявп
Cyrillic translation: Shell tnat's a sosgatis ragadoh
At least I think it's been a while since Ive done Cyrillic stuff, I was learning Russian but then I kinda stopped
I’d say the actual reason that Achilles could not catch up is the missing variable of time. Which is a major oversight, but I imagine people didn’t care to much because the question wasn’t that important
Kevin: "Right...?"
Me: "WRONG!-"
Kevin: "No..."
My brain: *utter confusion*
"Today is opposite day" is a paradox. If it is opposite day, then I am saying it is not opposite day, but if it is not opposite day, then in my original statement I am saying it is opposite day.. It just repeats. Let's just say whatever I say is true, @this
you could just be lying tho so it isnt a paradox
It's not a paradox. If you say "today is opposite day," then it's not opposite day. If it's not opposite day, then it ends there. There's no reason for it to change back to opposite day if "today is not opposite day."
@@emmahstone3106 thank you for showing me the truth, Emmah Stone, I have never thought that way.
Edit:sike
I get it
The following is false: The previous statement was true
I can never tell the truth. I lied.
if 2 mind readers reach each other , whos mind are they reading ?
Lol...very good.
no one
Uhh i think there reading each other thinking the same thing and that is "whats in your mind" thats the answer
The answer is mean that is 1.5th person.
A mixture of both the other and the other.
Simply delightful……well presented
About the third type of paradox, the only logical answer I could think of is this:
There are 3 possibilities I could come up with if someone goes back in time to kill their grandfather:
1) The universe always stops them in some way of unfortunate events
2) A new branch in the timeline is created in the moment the time traveller travels in time where the previous theory happens again, they try again and it keeps on happening
3) The time traveller kills their grandfather and the time line branch (that was made when they time travelled) stops
These are just some theories I came up with while watching the video, I'm not a scientist or anything