@@aaryanbhatia4939 my primary goal with my seximal terminogy was to mimic the way the english language handles decimal, not to be as practical as possible. also, I really wanted to avoid confusion in terms of what number you're referring to when you're talking out loud, and calling SEX30 "thirty" would be confusing because thirty unambiguously means DEC30, or SEX50.
There's a point where it's impossible to have a single clue of what's going on since he's just saying "fifsy eleven dozen eleven fourths", and I love it
Using 6 as a base is also cool because all prime numbers excluding 2 and 3(which are coincidentally the factors of 6(unrelated, but even more cool)) come either directly before or directly after a number that is divisible by 6. All prime numbers excluding 2 and 3 will therefore always have 1 or 5 as their last digit.
2 and 3 being the factors of 6 as everything to do with primes not ending with digits that are divisible by 2 or 3. the same applies with 2 and 5 in decimal.
If you use base 12, every prime number after 12 starts with 1, 5, 7 or 11. Since there's twice as many digits, this means that it's the exact same numbers you can exclude as you can with 6 This is because 6 and 12 have the same unique primes for their factorisation
Let me introduce you to my favorite way of counting: Base Un. Every number goes up by one and if it ends it’s divisible by one. Clearly no way of counting is better or simpler.
Binary is great example of how smaller base do computations easier, visible in computer math operations. Your humor and deepthink are in great balance. Please never stop, this is great!
Me going into the seximal segment: “there’s no way, dozenal is the best” Me after the hand counting bit: “I’m about to look like a damn fool aren’t I” Me after the fractions segment: “there’s no way, seximal is the best”
Two solutions to the seeing numbers from a distance thing. 1: we just do as we always have and count digits. How many times do you have to go above 5 anyway? It's simple, intuitive, and not really disruptive to the our counting system 2: once all five digits are used, turn your hand around for 6 which makes it at least equivalent to decimal at visually counting with hands from a distance
I wrote a paper in middle school in support of dozenal which contained some fairly poorly constructed arguments, and the introduction to this video feels like a personal attack
Apparently the trick is to just gish gallop / technobabble a bunch of numbers in mixed bases by arbitrary comparison metrics until it's impossible to refute
Sure, dozenal is practical for whole numbers and seximal is great, but decimal has the special benefit of *not giving me a headache* so I’ll use that Edit: *I know it’s just because I was taught decimal first.* That doesn’t change the reality.
Well it gives you (and me) a headache because it's not the way we learned counting, but base 10 is not a standard at all, it does not make more sense than any other base possible, but it was based on our fingers... If our main counting systel was "base 6" (it would be written base 10 in base "6") base 10 probably would have looked just as confusing. But the fact that it really confuses us is why we likely wouldn't ever change any time soon...
For base 5040 you can write each digit as four decimal digits, and use a separator between each 4 digits such as an apostrophe. For example, 66488 = 13 * 5040 + 968 = "13'0968", or 1/2 = 2520/5040 = "0.2520". That lets you bypass the need to have 5040 different symbols or 5040x5040 multiplication table, while you still get all the nice fraction representations. I believe the bablyonians did something similar for their sexagesimal (base 60) system where they wrote every base 60 digit as two decimal digits.
Virgin bends to the will of silicon VS chad uses whatever he finds convenient because he knows he cannot escape the billions of arbitrary evolution that shaped his perception and understanding of reality and abstract concepts.
I understand binary because that's just how states works, but why hexadecimal? Was that chosen? It seems pretty arbitrary to me but I don't know computers
"At this point, I'm going to break character and ask the question you should be asking right now." Oh thank God, he knows how frustrating and confusing this is. "Why did I stop at fourths?" You're a cruel man.
Idk if its cos this guy is actually always right or hes the most manipulative convincer but after every video of his i agree with absolutely everything he said.. AND AN APOSTRPOPHE IS DEFINITELY A LETTER
But imagine a universe where this method of counting is the norm and when you read out to those people "eleven million a hundred and eleven thousand a hundred and eleven", many brains will hurt at 1am
@@PeacefulTQ theres nothing wrong with highlighting a line that you liked. Would you rather they prefaced the quote with, "I really like this line: ". Is it not good enough just to repeat it? All of you who reply to these sorts of comments with "congrats you watched the video" are completely missing the point.
This and CGP Grey's "hexagons are the bestagons" have convinced me that there is a cult across the internet that worships the number 6 or something of that sort.
I noticed that too! I'm wondering if there are similar connections in other videos? I just finished "There are 48 regular polyhedra" and can't shake the feeling that the music is somehow related, but I also can't quite figure it out
if I had been listening to this out loud the information would've gone into one ear and out the other. but, since I'm using headphones, half of the information came through both ears and then knocked around in the empty chasm of my mind. once I remove my earbuds I'm afraid the pressure all this information has formed within my head will rush forth from my ear and possibly damage my eardrum. as you can see you've put me in quite the precarious situation. as for the joke, it would have gone over my head but it also tried to enter directly into my brain, but it was too dry to pass through my head hole and I believe it has lodged itself somewhere within my ear canal. you should be receiving an email from my lawyer within the next 24 hours detailing the lawsuit I am currently filing against you for the internal and external bodily harm this video has caused me.
This man sounds way too hyped up about this thing that it makes me have to listen to the rest because if I dont I feel like a bad friend for someone I dont even know.
But a perfect fifth is a proportion of 3:2 and is only called a fifth because of confusing inclusive counting. A major third has often a proportion of 5:4 in just intonations but is objectively less used to tune than fifths. So 3 wins.
0:00 dozenal guide 3:56 why dozenal doesn'tal 4:51 a better way to count 5:32 six is a small number 8:44 most people have 14 fingers 10:30 six is an antiprime 16:54 conclusion
i love watching these videos because after every sentence, I need to pause the video and reread the latest sentence repeatedly until it eventually makes sense to me. It's like leg day for my frontal lobe!
I've loosely been an advocate for dozenal, but seeing this analysis actually converted me back to decimal. I agree that if we were making a new system, seximal is probably better, but I think going to seximal is even harder to convince people of.
Seximal isn't better, not only can it not easily easily display 1/4 and 1/13 and basically any fraction smaller than 1/10, it's also gets ridiculously big fat quicker, his argument is basically, "well 5040 is really difficult to use so small bases are better", disregarding the fact that base 12 only needs 6 more characters than base. Not only are fractions overall better represented, but since base 12> base 10, numbers are smaller making it easier to do arithmetic, meanwhile with base 6, over time, base 6 gets smaller and smaller percentage wise to its base 10 power. 6^2 is greater percentage to 10^2 than 6^3 is 10^3( 36% for 6^2 compared to 21.6%). Not only that, but he also essentially chooses one recurring number over another and says one is easier. 0.2497 recurring is any harder than 0.1 because they're both non recurring and thus equally hard to divide and multiply by, the only difference being one is recurring in a one-number pattern (1) and the four-number pattern(2497). Since base 12 has less recurring fractions than base 6, it makes it easier to count with because there are more exact answers.
@@toade1583 "can it not easily easily display 1/4" 1/4 written with two digits isn't that bad. "and 1/13" Why does 1/13 matter to you? "and basically any fraction smaller than 1/10" You can say the same thing for any base. At some point, fractions will have complicated expansions, nothing unique to seximal. "it's also gets ridiculously big fat quicker" Well, yes, but the fact that basic arithmetic is really easy to learn basically cancels it out. Also, you can use niftimal compression. "his argument is basically, 'well 5040 is really difficult to use so small bases are better'" I do admit this was a bad example, but the point still stands. "base 12 only needs 6 more characters than base" Well, at the cost of slightly harder arithmetic. 5's and 7's are really hard to use, and it's larger than decimal. "Not only are fractions overall better represented" Well, except for 1/5. "since base 12> base 10, numbers are smaller making it easier to do arithmetic" At the cost of a bigger multiplication table. Bigger bases have their own set of problems. "meanwhile with base 6, over time, base 6 gets smaller and smaller percentage wise to its base 10 power. 6^2 is greater percentage to 10^2 than 6^3 is 10^3( 36% for 6^2 compared to 21.6%)." That's only about 4 seximal digits for every 3 decimal digits. Not that hard. " Not only that, but he also essentially chooses one recurring number over another and says one is easier." Saying that a shorter repeating expansion is easier than longer a one is not "choosing one over another". I think anyone can see that, also, it's not just about the expansion itself, as we'll see later. "0.2497 recurring is any harder than 0.1 because they're both non recurring and thus equally hard to divide and multiply by" False. Divisibility tests for 5 in seximal are easier than in dozenal, which correlates well with the amount of recurring digits. It also makes a nice multiplication pattern. 5, 14, 23, 32, 41, 50 is much easier to learn than 5, X, 13, 18, 21, 26, 2E, 34, 39, 42, 47, 50. Clear pattern in seximal, no clear pattern for dozenal. "the only difference being one is recurring in a one-number pattern (1) and the four-number pattern(2497)." Again, not just about the expansion itself, read what I said above. " Since base 12 has less recurring fractions than base 6" Actually, dozenal has the exact same amount of recurring fractions as seximal because they both have the same prime factors (2 and 3), any number that contains a prime factor greater than 3 will be recurring in both bases. The only difference is that dozenal has an extra prime factor of 2, which is redundant. "it makes it easier to count with because there are more exact answers." Again, wrong, read what I said above.
I've been a fan of dozenal for quite some time now but I have to admit this is the first counterargument to dozenal I've seen that actually brings up some really solid points.
only if you use 0. in high school I created a base 4 system that went like 1 2 3 4 11 12 13 14 21 22 23 24 ... 10 didn't make any sense in that kind of system
That's kind of like saying "every language is English, you just say it differently" - just because base-10 is the standard we use, its not inherently more fundamental to math than base-12 or base-6 would be
I've added this to my music for work playlist. Passages of "in dozenal, half is written as point six, because it's equal to six twelfths." are weirdly calming
Sauron Gorthaur yes I spent the past 2 minutes checking the math and you are right, though I am significantly confused though a little less so but still a lot.
Thirds are more important than fifths in music though (or at least in chords). That's why fifths get dropped all the time. Thirds give the chord color, the 5th just repeats information already widely available in the root.
Also, triplets. And compound meter. Are you telling me you wanna go with a numbering system that makes 5:4 easier to use than 12:8? If so, you do not have my vote in the upcoming election.
@@rupen42 there are many many genres of music that regularly don't use thirds in their chords, for example most rock, punk, metal, etc. These genres do care about fifths however, as the structure is mostly power chords, a chord with just a fifth and no third
8:43 I rewatch this video every year or so and that always gets me. I mean I get it, but it just looks like a hilarious typo. Pair that with tone, and the use of decimal while under a dozen, fantastic. it just makes me laugh
As a middle schooler, I thought base 8 would be better than base 10, since it divides into quarters as well as halves. As a high schooler, I learned hexadecimal and thought it would be better than base 10 since it's similar to base 8 but with higher information density. In college, I formally learned about calculating in base N and decided that base 12 would be best because of how many common factors it has, though I was tempted to opt for base 30 because it was the product of the first 3 primes, but you gotta draw the line somewhere. Needless to say, the algorithm really nailed it with this one, thanks for giving me dozens of wikipedia articles to read
My head is spinning from the (humorous) facts about the dozenal system. "This must be nearly done", I say to myself. "He can't have much more about dozenal to say, can he?" The first finger on the monkey's paw curls.
For blind viewers, the seximal finger counting system discussed at 09:13 works like this: Choose one hand to represent units, and one hand to represent sixes. On the units hand, zero is represented by a closed fist, while the numbers one to five are represented with the same number of extended fingers. The same applies for the sixes hand, where a closed fist is 0, and multiples of six are represented by the same number of extended fingers. So, for example, seximal 20 (decimal 12) would be shown with two extended fingers on the sixes hand and a closed units hand. Seximal 55 would be five extended fingers on both hands. Disclaimer: I myself am blind, I learnt to do this after asking a sighted person to describe this part of the video to me. If I've gotten it wrong it is because I've misinterpreted his instructions.
My only question was, "How will they read this?" And then I went to type this and thought, "How will you read my comment?" And now I am curious. I assume an interpreter or text to speech? I don't know if asking this is offensive, so if it is I'm sorry. I am just kinda curious how blindness effects UA-cam comments.
@@Error404Nemonotfound Not offensive at all. We use software called screen readers (most original name ™) which can convert text on the screen or text specifically sent to it into speech or Braille. Most things that you can do with a mouse you can also do with a keyboard, so we control the computer and get info from the screen reader with keystrokes. There are screen readers for phones too, you just need to change some of the touch gestures around and they work fine. We can do pretty much anything that anyone else can do, except for video games, which sucks when you're a blind video game nerd lol. Anyway thanks for your curiosity, it's way better than people just automatically disbelieving that blind people use the internet 🙄
"I completely get where you're coming from if you disagree with that, but just so we're on the same page here, you're wrong." I'm going to frame that quote. Side note: this video managed to do what your Esperanto video didn't. I'm inclined to agree with you that seximal is better than dozenal.
Where does he get off saying that 5th's are just as, or more important than 4th's? That's madness. He didn't give a single example of why he thinks this.
@Calen Crawford I'd like to introduce you to high-noise environments, where speaking isn't a possibility, but ideas need to be conveyed. Or, for instance, underwater. Or any number of niche but incredibly important locales. Hand numbers are important, now as much as ever. Also, let's talk about whatever you mean by "giving your arm a quick and sudden jolt", because I think that's just you. If I'm out onsite counting steps, or radio towers, or fence posts, or sheep in my field, or clumps of hair I've pulled out trying to understand your arm jolts, I'm probably going to need more than 12 and I've got a feeling it's more practical than just trying to remember real hard. As for your zero comment, that quite clearly transcends systems. You've lost me there too. His entire point about length was that it was longer but that that's a small price to pay overall. We use binary for literally everything in our world today. That video was just a number with billions and billions of 1s and 0s. I mean, isn't that the best possible proof of the power of utility over concision? Props for the puns though
@Calen Crawford Calen Crawford Calen Crawford Alright, Calen, let's talk about giving responses actual thought, since you clearly didn't either. Your entire point about base-12 being fine to count by hand in is based on the idea that there is never a real reason to convey number by hand. As shown, that is not always the case. Sure, you can make the case that the options I offered are so niche that they may as well be irrelevant, but the point was that you had overlooked some fairly important exceptions. I asked only because it's a mannerism I have never seen used or heard of existing. Perhaps your method of describing it was too vague or misleading to convey the motion you described? Regardless, I pointed it out merely because it was something that lacked at least the surface clarity of the rest of your comment. Also, attacking my method of response? I went through each of the major points in your comment, responding to each. Same as you just did. Not exactly hard to understand, and I'm not the one insulting people's intellect. I brought up your zero issue because you pulled it out of your ass. The original video doesn't complain about base-12's 0 hand, the comment you replied to doesn't, you just arbitrarily chose to diatribe upon it. Unless you're trying (and bluntly, failing) to make the argument that you can just flash a series of digits to get a number across, your entire rant on 0 is both pointless and misdirects the reader. And lastly, dear Calen, be aware that perhaps the barrier to comprehension is not on the side of the reader, but the author. One cannot respond to salient points that only existed in the author's mind rather than being transferred to the page. So perhaps, you need to think about what you write, instead, and ensure that it clearly delineates the connection between your points rather than expecting the reader to combine your thoughts in the same manner.
welllllll fourths are just half of a half, and by making fifths easier you also make fractions for numbers that have five in their prime factorizations easier
I personally think base 30 is the best, because it can represent 1/5 as a decimal with finite digits since 30 is divisible by 5. It can do the same for 1/6, 1/4, and 1/8, since 6 is a multiple of 3, and 4 and 8 are multiples of 2.
@The Truth: Stranger Than Fiction that's bc there are so many sounds we can make with our mouths. I'm not saying it would be very difficult to remember all 30 symbols but it would be a pain to use them
@@specificocean588 its better than base 20 though, which is just base 10 on steroids since they share the same factors. The Ancient Mayans used base 20 FYI.
Watching this feels like what I imagine a stroke sounds like. You're definitely speaking English and yet none of what you're saying means anything to me. :/ This is why I quit math before Calc.
Kimathy one of my favorite quotes: “i understand each word coming out of your mouth, but when you string them together like that they cease to have any meaning.”
For base ten Japanese finger counting is really good. Where the thumb is worth 5 and each finger is 1. It is also visible. It goes up to 100 using both hands. Its based on the Japanese abacus so it was easy to learn then and its not hard to get the hang of. So yes u can go up to 100 in base 6 but its also possible in base 10
Jarrett Spurlock in binary you can do go up to 1023 using 10 fingers. If the finger is down then it represents a 0 if it’s up it represents a 1. So if you have all 10 fingers up that’s 1111111111 or 1023.
This is probably the greatest, most meta joke I’ve ever heard… “Just so we’re on the same page, you’re wrong…” If we’re on the same page, you’re wrong too ;)
Well, the phrase "just so we are on the same page" is a contextualizer, it is supposed to reorient the listener to the speaker's train of thought, so while you are on another page thinking you are right, he brings you to his page by saying you are wrong.
you can derive a divisibility test for a given number by splitting the number in two as a means of simplifying it. for a given number, y is the first digit of the number only, and x is the number without digit y. for example, for 321, y =1 and x = 32. you can combine x and y as '10x + y' to get back the number you chose. we can adjust the statement to create divisibility tests. as an example, we can make one for 15 (DEC 11). we can multiply our starting statement '10x+y' by 2, to make '20x+2y' (dw multiplication maintains its normal divisibility). we can then separate out 15x to make '(x+2y)+15x'. since we know 15x is divisible by 15, the test lies in the part in parenthesis (the 'x+2y' bit). just plug in the numbers x and y, and it will output a number. if it's divisible by 15, the whole number is too. it works recursively if you still cant figure out if its divisible. we are able to make tests for one above multiples of 10, though it will include negative outputs too. if we do 21 (DEC 13), we can use the same '20x+2y' statement, then with a bit of black magic, separate out a '21x' by fabricating a '-x', which makes '(-x + 2y) + 21x'. since we know the 21x is divisible by 21, the test, once again, lies in the parenthesis. in most cases it will produce a negative number, but we swap the signs to 'x - 2y' to make less cases be negative while maintaining its factors. regardless, we can take its absolute value *AFTER* we add the x and y terms. if you remember, Misali noted that all primes in seximal end with 1 or 5. with that said, it has a very big implication. this means that in seximal, every prime in existence has easy-to-derive divisibility tests, simply by getting the 'x' value, and adding the 'y' value times the multiple of six that the prime is adjacent to. the only point of complication is to make sure that the 'y' term adds in case the prime ends in 5, and subtracts in case the prime ends in 1. these two cases cover every prime. there might be specific divisibility tests case-by-case, but this is the general divisibility rule, and it works surprisingly well with seximal.
It's 1:54 am, I have an AP Calculus exam in 11 hours and a Spanish Final in 13 hours, the US is literally on fire, and a worldwide pandemic is ravaging the world. Yet here I am watching this video.
@@jcespinoza No, my internet went out mid exam for Calculus and I ended up getting a 2 on the much harder make up exam. I did pass my Spanish final and other AP exams at least.
To be fair, you can count in base ten similar to base six, only you count the thumb as worth 5 instead of 1. It is called (2,5) cycle and is how japanese abacus (ie. soroban) works
Fun fact, having 5 fingers is actually recessive, and having 6 fingers is dominant, I think the number of fingers is controlled by the HEDGEHOG gene if I remember correctly but I could be wrong
@@naturegirl1999 From what I gather, that is not really the case. Problems with the Sonic Hedgehog gene (yeah, some scientist really did name a gene after sonic), causes all kinds of mammals to develop extra fingers. Not only six, but many many more. Also, they might appear anywhere in the hand, so you might have extra thumbs or extra pinkies.
@@naturegirl1999 I understand. What I mean is that mendelian genetics that we learn at school is not the only kind of inheritance law in nature. This gene is more complicated than that. Plus, this gene has three different alleles, not two: sonic, indian and desert hedgehog. And as I said, it doesnt control for 10 fingers or 12. It is 10 fingers or many. If you google, you will find people with problems in this gene with 8 fingers in a hand. Of course, since six is the closest to 5, it is more common then the others.
I completely agree with everything in this except the idea that fifths are more important than fourths. Fourths come up every time anyone takes half of a half or divides a pizza. Fifths never come up at all, outside of relying on base 10 (such as estimating something as 80%).
14:27 I think our decimal culture over values five and fifths because they're the special numbers that work well in our system. However .2497 repeated is still bad enough to make dozenal worse at this point.
@@LowestofheDead If A is ten, 1/7 is 0.2A52A5... in base eighteen. Thirteenths, seventeenths, and nineteenths are relatively simple but elevenths are filthy Base 24? Sevenths, elevenths, thirteenths, and seventeenths are all maximum lengths (6, 10, 12, 16)
This is like Sam o'nella, but instead of choosing a funny subject and then presenting it in a fun way, you chose the most boring subject possible and presented it like a lecture. This is a compliment.
16:00 for anyone wondering, yes he did mean to say one gross eight dozen six great gross ten gross three dozen five eleven gross eleven dozen eleven great gross eleven gross eleven dozen elevenths. can’t believe he’d leave such an obvious mistake in the video, smh.
yes, I'm aware that I compared the prime factors of ten and the factors of twelve. it was a joke. please stop telling me about that.
you compared the prime factors of ten and the factors of twelve
i told you about it what you gonna do about it
Base 60 motherfuckers 4ε/1,00 people agree
You compared 12 to the bombardment of Bloons on bloons TD battles 5 round 6
How can a fifth equal a sixth in seximal?
@@aaryanbhatia4939 my primary goal with my seximal terminogy was to mimic the way the english language handles decimal, not to be as practical as possible. also, I really wanted to avoid confusion in terms of what number you're referring to when you're talking out loud, and calling SEX30 "thirty" would be confusing because thirty unambiguously means DEC30, or SEX50.
The first thing that's great about dozenal is that it's already common in some contexts like if you're counting eggs~
>Shows a 10 egg carton.
dental fricatives because of your name and profile pic you have earned yourself a subscriber
Make that 2. This guy needs to make videos
Make that 3. Wouldn't hurt to have another subscriber
Jah're Parker What if you have a condition that makes having more subscribers cause you intense physical pain?
Errorite I have that condition, these seven people subbed to me are literal demons.
I use base 27. There's no reason for it. I just hate myself.
If you're going to use base 27, you might as well go all the way and use a prime number, so you should switch to base 29
27 actually isn't a bad choice. It translates seamlessly from base 3.
Base 4620 (2x2x3x5x7x11), for lots of easy division
@@wolfelkan8183 base 27 is the -hexadecimal- octal to trinary.
Question, how is 10 (from base 10) written in base 27?
> "dozenal is already common in some contexts, like if you're counting eggs"
> Proceeds to show box of ten eggs
our country: we only have a tray of 36 eggs, so use base 36
@@JohnPaulBuce 12 * 3 = 36
@@bluecat5669
12/4=3
or 12/4/2=2
base 3 or base 2?
@@smolneko9294 your math is a bit.... no
@@colorfuk1688 oh whoops, replace that second four with a 3 haha
“now stop pretending to be plato”
i love vi hart so that reference made me smile
"If it ends it's divisible by one" is the most powerful short sentence, it's like a dragon shout
infinite numbers are divisible by one
@@egon3705 not if by "divisible" you mean "evenly divisible into integer groups"
If it is it is divisible by one
@@comradegarrett1202 right but that's... Not what it means?
@@consume_arsenic Isn't it? The statement was made in the context of other whole number divisibility tests.
There's a point where it's impossible to have a single clue of what's going on since he's just saying "fifsy eleven dozen eleven fourths", and I love it
D:
Yeah, the video’s constructed and presented like an educational video with added humor, when really it’s just a shitpost.
@@limepop340 he explained that it is, in fact, an educational video with jokes, not an entire shitpost. See "seximal responses"
Use seximal anyway.
I hate it.
“If it ends, it’s divisible by one.”
Yes, thank you.
But only with dozimal, not with decimal
What if it doesn’t end?
@@stepexgd6628 then it is
Cole Smith WHAT IF IT DOESN'T.
HELP I'M WRITING PI.
@@guard13007 there's no saving you now, you're in too deep.
Using 6 as a base is also cool because all prime numbers excluding 2 and 3(which are coincidentally the factors of 6(unrelated, but even more cool)) come either directly before or directly after a number that is divisible by 6. All prime numbers excluding 2 and 3 will therefore always have 1 or 5 as their last digit.
2 and 3 being the factors of 6 as everything to do with primes not ending with digits that are divisible by 2 or 3. the same applies with 2 and 5 in decimal.
"coincidentally" The first thing you should learn about math is that there are no coincidences.
If you use base 12, every prime number after 12 starts with 1, 5, 7 or 11. Since there's twice as many digits, this means that it's the exact same numbers you can exclude as you can with 6
This is because 6 and 12 have the same unique primes for their factorisation
“people have 10 fingers”
-proceeds to show 14
my brain: *something’s wrong, I can feel it*
@Michael Darrow ik. took my a while haha
oh yeah, that confused me quite a bit
Same
Cube Kristof 8:45
I believe it's in a different base.
I love how casually he switches between writing ten as 14 and 10 and X
I don't get it you said X(sub twelve) 11(sub two) times
I like how you casually switch between writing X as "ten" and 14 as "10"
best A
I personally also like how he switches from decimal terminology to seximal terminology to base-12 (duodecimal?) terminology
@@soopFPS dozenal
Let me introduce you to my favorite way of counting: Base Un. Every number goes up by one and if it ends it’s divisible by one. Clearly no way of counting is better or simpler.
So basically tally marks?
Brent Trenholme and you’re not allowed to have a slash indicating a group of five. That would be cheating
unary's only digit is 0, checkmate
What about fractions?
maria fe 0.0
Binary is great example of how smaller base do computations easier, visible in computer math operations.
Your humor and deepthink are in great balance. Please never stop, this is great!
Adding and subtracting 1 from a number is easy. Same goes for 10, 100 ect. So just have a number system that only contains those numbers
I tried this irl, now there’s a demon in my house named Greg and he won’t leave.
reman give him a sandwich, he should leave shortly
A limb sandwich
Give Jreg centricide, talk about how you dislike moderates, and he'll leave promptly
But have you ever drunk Baileys from a shoe?
Wassup Greg's and welcome to my channel. The second channel where I don't have to script and can wing it.
me: "What's the wifi password?"
friend: "It's on the back of the router."
back of the router: 15:39
Nice.
never read the comments before watching the video got it, lesson learned
I can't tell whether you mean the visual or the audio and honestly, that just makes it better
@17:36
@@Deatlod nice
Me going into the seximal segment: “there’s no way, dozenal is the best”
Me after the hand counting bit: “I’m about to look like a damn fool aren’t I”
Me after the fractions segment: “there’s no way, seximal is the best”
My brain agrees with Misali -_- but the heart wants what the heart wants -_-
Two solutions to the seeing numbers from a distance thing.
1: we just do as we always have and count digits. How many times do you have to go above 5 anyway? It's simple, intuitive, and not really disruptive to the our counting system
2: once all five digits are used, turn your hand around for 6 which makes it at least equivalent to decimal at visually counting with hands from a distance
@@pyrotechnic96 Or you could use 5 other hand signs, like in Chinese hand counting where 🤙(but not sideways) is 6
@@audreywong7494 no it's the thumb, not the index finger. The symbols are supposed to look like the Chinese characters
@@awelotta Yes that's right, it's the thumb instead of index finger. I didn't realize that it was the wrong emoji
"Just so we're on the same page here, you're wrong" is my new favorite line
My reaction to the hangman video: oh, he's quirky and smart.
My reaction after watching this: oh he's a genius and a crack addict.
same 😂
Michael Reeves be like
I see a fellow man brought here from his hangman vid
Michael reeves but linguists
Your at 888 likes, I want to like but I simply cannot
I understand every word and no words. this whole video is an optical illusion for my mind
Use seximal anyway.
@@mariafe7050 similar pfp moment
This video is so simple I wonder how you people go through the real world Jesus Christ
The concept was easy to understand, but the random jargons throws me off everytime. It’s like calling water “Dihydrogen Monoxide”.
Let me be pedantic... Isn't it more an acoustical illusion? 🤔
Sir, this is a Wendy's.
Lol I can imagine him very hastily ranting about how 6 is better at a Wendy’s drive through
no this is patrick
Can I get uhhh.......
_hey, you wanna know a better way to count_
Just here to comment for you to be in recommended
*_boneless_** counting*
Iamme what
1:13 "Yeah using dozens is already pretty common with things like eggs" (shows egg carton with 10 eggs)
well a dozen is written as 10 in dozenal
well, seems like base 708 isn't gonna work if eggs have only 10 eggs, back to base 10
"There's a lot you're not going to know, so you should stop pretending to be Plato."
That may actually be the funniest thing I've heard in a few days.
"But just so we're on the same page, you're wrong" got me really good
@@takeastepback3333 Me too. He talks really fast and technical but his occasional jokes keep my attention.
I would like this comment but it's already at 256
THE NUMBERS, MASON, WHAT DO THEY MEAN
THE FUCKING NUMBERS ARGH
@@fat6776 WHAT DO THEY MEAAAAAAAAAN
_im confused by the context of their profile pic i dont know if theyre a bleach fan or mcyt fan send help_
@@FrizellaTheBee wtf is mcyt
@@Zadamanim minecraft number
edit: yourube has fried my brai,ni meant minecraft youtuber
I wrote a paper in middle school in support of dozenal which contained some fairly poorly constructed arguments, and the introduction to this video feels like a personal attack
I would like to see it.
Apparently the trick is to just gish gallop / technobabble a bunch of numbers in mixed bases by arbitrary comparison metrics until it's impossible to refute
This video is a 5/10 just 1 point of a perfect score
14:40 "I get where you're coming from, but, just so we're on the same page, you're wrong"
6/6
What's "6"? :P
@@gorantopic2500 he meant 10/10
@@MisterHunterWolf your level of nerd is over 105400 sir :D
@@gorantopic2500 same
δ/δ
Sure, dozenal is practical for whole numbers and seximal is great, but decimal has the special benefit of *not giving me a headache* so I’ll use that
Edit: *I know it’s just because I was taught decimal first.* That doesn’t change the reality.
Decimal is great for metric. If I ever want a non-decimal system, I think I'll go binary or hex.
But seximal has the funny adult word in it
@@mythosinfinite6736 Ima doesn't amuse me as much as it does everyone else.
@@tallynnyntyg6008 Are you even human?
Well it gives you (and me) a headache because it's not the way we learned counting, but base 10 is not a standard at all, it does not make more sense than any other base possible, but it was based on our fingers...
If our main counting systel was "base 6" (it would be written base 10 in base "6") base 10 probably would have looked just as confusing.
But the fact that it really confuses us is why we likely wouldn't ever change any time soon...
"if it ends, it's divisible by one" came out of nowhere and i had to pause the video to laugh
For base 5040 you can write each digit as four decimal digits, and use a separator between each 4 digits such as an apostrophe. For example, 66488 = 13 * 5040 + 968 = "13'0968", or 1/2 = 2520/5040 = "0.2520". That lets you bypass the need to have 5040 different symbols or 5040x5040 multiplication table, while you still get all the nice fraction representations. I believe the bablyonians did something similar for their sexagesimal (base 60) system where they wrote every base 60 digit as two decimal digits.
Or you could just die
I did something similar when I made my base 120. (Centevigintesimal)
Hey, I know you on Discord!
reasons to use base 6: "Seximal"
(͡ ͡° ͜ つ ͡͡°)
ʘ‿ʘ
@@noralasiah5623 (╹◡╹)
@*Redwolf Playz*
It appears you missed the joke.
*Redwolf Playz*
Heximal; the number base you use to hex people...
imagine being inconvenient for computers to use
this comment was made by hexadecimal and binary gang
Virgin bends to the will of silicon VS chad uses whatever he finds convenient because he knows he cannot escape the billions of arbitrary evolution that shaped his perception and understanding of reality and abstract concepts.
I understand binary because that's just how states works, but why hexadecimal? Was that chosen? It seems pretty arbitrary to me but I don't know computers
@@shybandit521 Because it translates directly into binary, since it's a power of 2, same with octal, 0F = 00001111
@@ElBley98 cheers!
@@ElBley98 exactly, hexadecimal is just base 2^4, so you know any given hexadecimal number represents four binary digits. Same goes for octal.
If you're gonna make a new counting system then just go ahead and make new symbols for every digit while you're at it to avoid confusion
100% agreed!
mmm… not a very smart idea
"At this point, I'm going to break character and ask the question you should be asking right now."
Oh thank God, he knows how frustrating and confusing this is.
"Why did I stop at fourths?"
You're a cruel man.
lmao
@Musikbibliothek exactly, like the answer in life and what it all means is literally written on everybody's forehead. Just go look in the mirror
“I completely get where you’re coming feom if you disagree with that, but, just so we’re on the same page here, you’re wrong.” Genius
“I completely get where you’re coming from if you disagree with that, but, just so we’re on the same page here, you’re wrong.” (bump)
Idk if its cos this guy is actually always right or hes the most manipulative convincer but after every video of his i agree with absolutely everything he said..
AND AN APOSTRPOPHE IS DEFINITELY A LETTER
To be honest, I didn't understand a word of this video after the first 2 minutes
Wait, this video was longer than a minute?
it just sounds like a different language. what is a thirsy. i'm losing brain cells.
Niphsy piffle, Thursday is gross, dozen doesn’t, does it?
Same
And yet we kept watching.
Love how 1 & 10 got conveniently left out of the factors of 10 😂
shhhhh
4 doesn't sound as pretty and 2 when your trying to make six sound big
PRIME FACTORS
That's the joke
love how -1 and -10 got conveniently left out of the factors of ten /j
"eleven gros eleven dozen eleven great gros eleven dozen eleven" man its 1am my brain hurts
Use seximal anyway.
But imagine a universe where this method of counting is the norm and when you read out to those people "eleven million a hundred and eleven thousand a hundred and eleven", many brains will hurt at 1am
It's 2:55 my mind blown at 0:01 of that video
“Six is a very nice number. In fact, it’s what mathematicians would call a perfect number, which has nothing to do with what I’m talking about.”
Congrats you watched the video
@@nouveau_nouveau its one of the best lines from the video
@@inafridge8573 the video that we all watched
@@PeacefulTQ yeah no im not sitting through 18 minutes of this
@@PeacefulTQ theres nothing wrong with highlighting a line that you liked. Would you rather they prefaced the quote with, "I really like this line: ". Is it not good enough just to repeat it? All of you who reply to these sorts of comments with "congrats you watched the video" are completely missing the point.
I'm not high on drugs but it sure feels like it.
Same
Ive never been high but tbh this seems what it would feel like
I'm high because I was prescribed it and it made me feel less high, somehow.
Use seximal anyway
This and CGP Grey's "hexagons are the bestagons" have convinced me that there is a cult across the internet that worships the number 6 or something of that sort.
Love how the ending melody is created by using the decimals as notes in the major scale. 6/6
Damn that's genuis
The "6" symbol doesn't exist in seximal.
You mean "10/10"
(Or 14/14)
I noticed that too! I'm wondering if there are similar connections in other videos?
I just finished "There are 48 regular polyhedra" and can't shake the feeling that the music is somehow related, but I also can't quite figure it out
Thank you for pointing that out, I missed it!
if I had been listening to this out loud the information would've gone into one ear and out the other. but, since I'm using headphones, half of the information came through both ears and then knocked around in the empty chasm of my mind. once I remove my earbuds I'm afraid the pressure all this information has formed within my head will rush forth from my ear and possibly damage my eardrum. as you can see you've put me in quite the precarious situation.
as for the joke, it would have gone over my head but it also tried to enter directly into my brain, but it was too dry to pass through my head hole and I believe it has lodged itself somewhere within my ear canal.
you should be receiving an email from my lawyer within the next 24 hours detailing the lawsuit I am currently filing against you for the internal and external bodily harm this video has caused me.
This Is gold and terribly underrated
Use seximal anyway
@@mariafe7050 lol
"You're gonna have to use base 60!"
Time: "Allow me to introduce myself."
The Mesopotamians were on to something. (It's not that unreasonable to approximate 360 days in a year.)
@@LybertyZ you lose 5.5 days a year so unless you had something like a leap year but for a large quantity of days it would be
ok but it's not reallyyyy base 60, it's base 10 masquerading as base 60
@@mschuhler Quick, divide 10 evenly into thirds. (No rounding.)
@@DavidGalvanwiz So, like, make 5.5 months have an extra day, or something like that? I think you're on to something! ;-)
10:22 It also leads to issues if you're trying to communicate the number 4, because people will think you're giving them the middle finger.
and it's even worse when you want to communicate the number 132
@@thisisachannelwhy42069explain?
Imagine not having factors of 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30
This post was made by base 60 gang
Imagine having to learn 60 digits
@@micaelgarcia1576 imagine be asiatic and have te learn a lot of symbols anyway
@@ellanaellana imagine having to learn how to write words... Oh wait
Imagine having to learn 60 characters!
This post was made by base 1 gang
IMAGINE LEARNING TWO GLYPHS FOR EACH LETTER
THIS POST MADE BY MAJUSCULE GANG
This man sounds way too hyped up about this thing that it makes me have to listen to the rest because if I dont I feel like a bad friend for someone I dont even know.
That's how he gets you
"there's no objective reason to treat thirds as being less important then fifths"
Musicians: _well..._
Octaves: *I am 4 parallel universes ahead of you.*
Oh no how would intervals work in seximal
There would be 11 notes in an octave
Music theory has needed a facelift for a long time, and an octave _does_ have a dozen semitones...
But a perfect fifth is a proportion of 3:2 and is only called a fifth because of confusing inclusive counting. A major third has often a proportion of 5:4 in just intonations but is objectively less used to tune than fifths. So 3 wins.
Breaking news: Man discovers that if a number ends, it's divisible by 1!
0:00 dozenal guide
3:56 why dozenal doesn'tal
4:51 a better way to count
5:32 six is a small number
8:44 most people have 14 fingers
10:30 six is an antiprime
16:54 conclusion
great! now i can rewatch it until my mind actually comprehends the whole thing and not just... most(?) of it
"Most people have 14 fingers"
It took me a while to get it
@@ericgolightly8450 same
@@ericgolightly8450 i found it funny the way he changed bases through all the video
Thanks
I've been ignoring this video for years because the thumbnail made me think "oh, another video about how good dozenal is". So glad I finally clicked.
Base sixty is better than both.
@@loganosmolinski4446 it's to big to be practical.
same
@@loganosmolinski4446 u mean base 69?
Same
i love watching these videos because after every sentence, I need to pause the video and reread the latest sentence repeatedly until it eventually makes sense to me. It's like leg day for my frontal lobe!
I've loosely been an advocate for dozenal, but seeing this analysis actually converted me back to decimal. I agree that if we were making a new system, seximal is probably better, but I think going to seximal is even harder to convince people of.
"seeing this analysis actually converted me back to decimal" : that was his intent.
Seximal isn't better, not only can it not easily easily display 1/4 and 1/13 and basically any fraction smaller than 1/10, it's also gets ridiculously big fat quicker, his argument is basically, "well 5040 is really difficult to use so small bases are better", disregarding the fact that base 12 only needs 6 more characters than base. Not only are fractions overall better represented, but since base 12> base 10, numbers are smaller making it easier to do arithmetic, meanwhile with base 6, over time, base 6 gets smaller and smaller percentage wise to its base 10 power. 6^2 is greater percentage to 10^2 than 6^3 is 10^3( 36% for 6^2 compared to 21.6%). Not only that, but he also essentially chooses one recurring number over another and says one is easier. 0.2497 recurring is any harder than 0.1 because they're both non recurring and thus equally hard to divide and multiply by, the only difference being one is recurring in a one-number pattern (1) and the four-number pattern(2497). Since base 12 has less recurring fractions than base 6, it makes it easier to count with because there are more exact answers.
@@toade1583
"can it not easily easily display 1/4"
1/4 written with two digits isn't that bad.
"and 1/13"
Why does 1/13 matter to you?
"and basically any fraction smaller than 1/10"
You can say the same thing for any base. At some point, fractions will have complicated expansions, nothing unique to seximal.
"it's also gets ridiculously big fat quicker"
Well, yes, but the fact that basic arithmetic is really easy to learn basically cancels it out. Also, you can use niftimal compression.
"his argument is basically, 'well 5040 is really difficult to use so small bases are better'"
I do admit this was a bad example, but the point still stands.
"base 12 only needs 6 more characters than base"
Well, at the cost of slightly harder arithmetic. 5's and 7's are really hard to use, and it's larger than decimal.
"Not only are fractions overall better represented"
Well, except for 1/5.
"since base 12> base 10, numbers are smaller making it easier to do arithmetic"
At the cost of a bigger multiplication table. Bigger bases have their own set of problems.
"meanwhile with base 6, over time, base 6 gets smaller and smaller percentage wise to its base 10 power. 6^2 is greater percentage to 10^2 than 6^3 is 10^3( 36% for 6^2 compared to 21.6%)."
That's only about 4 seximal digits for every 3 decimal digits. Not that hard.
" Not only that, but he also essentially chooses one recurring number over another and says one is easier."
Saying that a shorter repeating expansion is easier than longer a one is not "choosing one over another". I think anyone can see that, also, it's not just about the expansion itself, as we'll see later.
"0.2497 recurring is any harder than 0.1 because they're both non recurring and thus equally hard to divide and multiply by"
False. Divisibility tests for 5 in seximal are easier than in dozenal, which correlates well with the amount of recurring digits. It also makes a nice multiplication pattern.
5, 14, 23, 32, 41, 50 is much easier to learn than 5, X, 13, 18, 21, 26, 2E, 34, 39, 42, 47, 50. Clear pattern in seximal, no clear pattern for dozenal.
"the only difference being one is recurring in a one-number pattern (1) and the four-number pattern(2497)."
Again, not just about the expansion itself, read what I said above.
" Since base 12 has less recurring fractions than base 6"
Actually, dozenal has the exact same amount of recurring fractions as seximal because they both have the same prime factors (2 and 3), any number that contains a prime factor greater than 3 will be recurring in both bases. The only difference is that dozenal has an extra prime factor of 2, which is redundant.
"it makes it easier to count with because there are more exact answers."
Again, wrong, read what I said above.
Yeah dozenal is my second favorite base next to decimal
@@toade1583 A clean 1/7 is far more applicable than 1/13, e.g. in the context of weeks. When would you need to calculate an eleventh of a thing?
part two
most people have 14 fingers
(Probably because 14 is ten in base 6)
@@s4ad0wpi ((well come to the joke))
Most people have:
1010
101
22
20
14
13
12
11
10
A
A
A
...
Fingers
I have 22,680 fingers.
@@mekafinchi most people have IIIIIIIIII fingers
I've been a fan of dozenal for quite some time now but I have to admit this is the first counterargument to dozenal I've seen that actually brings up some really solid points.
304 likes but no replies? Damn bro!
(that's 1224 in seximal)
Eventually you'll dig deeper. Try tons of other bases, factoring repunits, and dividing by arbitrary integers
there's something about the digits appearing to the beat of the music at the end that feels really nice to me
all your base are belong to us
I can't be the 13th like... 12 is too perfect...
@@connerbaird834 come back. Its not like you can ruin it now. It already has been.
@@alansmithee419 I've liked it now.
@@connerbaird834 nice. Maybe we can reach 55? (1 less than 100 in base six). Hopefully none will ruin that one.
ha ha ha
I just realized every system is base-10, you just say it differently
Except unary.
@@mariafe7050 why?
one one one one one one
is six in base ten, you just say it differently
@@shohamziner But it's not written as 10 it's 111111
only if you use 0. in high school I created a base 4 system that went like 1 2 3 4 11 12 13 14 21 22 23 24 ... 10 didn't make any sense in that kind of system
That's kind of like saying "every language is English, you just say it differently" - just because base-10 is the standard we use, its not inherently more fundamental to math than base-12 or base-6 would be
If you wanted to use base-5040, you could give each of them a kanji.
No there are only 2136 kanji used in Japanese
@@YamamotoTV2021 multiple meanings
you forgot 5040 is too big
2χεχ, 2χεε, 2ε00!
(passes out)
@@YamamotoTV2021 uh... rotation?
I've added this to my music for work playlist.
Passages of "in dozenal, half is written as point six, because it's equal to six twelfths." are weirdly calming
Came for conlang stuff, ended up watching a thirsy minute video on math
edit: fixed number
thirsty
@@Envy_May I'm very thirsy for some water
18 is thirsy
thirsy three is 21 (3x6+3)
Conlag team
Sauron Gorthaur yes I spent the past 2 minutes checking the math and you are right, though I am significantly confused though a little less so but still a lot.
"There's no objective reason to treat thirds as less important than fifths"
Music nerds: "am I a joke to you?"
Thirds are more important than fifths in music though (or at least in chords). That's why fifths get dropped all the time. Thirds give the chord color, the 5th just repeats information already widely available in the root.
RoundPiano but fifths are ~perfect~
@@AlexE5250 That's true!
Also, triplets. And compound meter.
Are you telling me you wanna go with a numbering system that makes 5:4 easier to use than 12:8? If so, you do not have my vote in the upcoming election.
@@rupen42 there are many many genres of music that regularly don't use thirds in their chords, for example most rock, punk, metal, etc. These genres do care about fifths however, as the structure is mostly power chords, a chord with just a fifth and no third
Thirsy is the cutest thing I have ever heard
I somehow really want to give that number water
@@epingchris ... I don't fully remember what this is about but yeah, I wonder why
@@byrontheusurper6505 Thirsy ~ Thirsty
8:43
I rewatch this video every year or so and that always gets me. I mean I get it, but it just looks like a hilarious typo. Pair that with tone, and the use of decimal while under a dozen, fantastic. it just makes me laugh
lol same
For whatever reason "and if it ends it's divisible by one" made me laugh so hard my throat hurts now. Impecable comic timing.
And really thats how divisibility by 1 works!!!!
"Just so we're on the same page here, you're wrong."
As a middle schooler, I thought base 8 would be better than base 10, since it divides into quarters as well as halves.
As a high schooler, I learned hexadecimal and thought it would be better than base 10 since it's similar to base 8 but with higher information density.
In college, I formally learned about calculating in base N and decided that base 12 would be best because of how many common factors it has, though I was tempted to opt for base 30 because it was the product of the first 3 primes, but you gotta draw the line somewhere.
Needless to say, the algorithm really nailed it with this one, thanks for giving me dozens of wikipedia articles to read
Heheh, dozens of articles...
I'd like to consider that rational and counting numbers are just a convenient lie and move to to the ultimate natural number e base system
Or you could . . . y'know . . . Memorize all of the oddities and prime relations of those bases and apply them in base 10
@@o_sagui6583 good luck applying "the base can be cleanly divided into thirds" to base 10
Base 8 is less prone to calculating errors. That is why artillery uses/used base_8 (before computers took over).
My head is spinning from the (humorous) facts about the dozenal system. "This must be nearly done", I say to myself. "He can't have much more about dozenal to say, can he?"
The first finger on the monkey's paw curls.
"If you're like most people, you've been using base 10"
Me as a programmer: 2, take it or leave it.
That's still base 10, though. You just say it differently.
u mean base 0b10
I see your 2 and raise you 16
@@gizoginjr bro, russian speak english, they just say things differently
Base 10 should really be called base A.
Base 16 should really be called base G.
Almost perfect, only needed more binary
1/10
hey, at least its still 50% rating
Brendan White 110010/1100100
@Brendan White It's actually still 10%, because % means per hundred. in case of binary, 100 is four and 10 is two.
@@taufiqutomo That would be 2%... one hundred in binary is 1100100: 64 + 32 + 4 = 100.
@@taufiqutomo 100 is 4 doesnt mean a hundred is 4
For blind viewers, the seximal finger counting system discussed at 09:13 works like this:
Choose one hand to represent units, and one hand to represent sixes.
On the units hand, zero is represented by a closed fist, while the numbers one to five are represented with the same number of extended fingers.
The same applies for the sixes hand, where a closed fist is 0, and multiples of six are represented by the same number of extended fingers.
So, for example, seximal 20 (decimal 12) would be shown with two extended fingers on the sixes hand and a closed units hand. Seximal 55 would be five extended fingers on both hands.
Disclaimer: I myself am blind, I learnt to do this after asking a sighted person to describe this part of the video to me. If I've gotten it wrong it is because I've misinterpreted his instructions.
My only question was, "How will they read this?" And then I went to type this and thought, "How will you read my comment?" And now I am curious. I assume an interpreter or text to speech? I don't know if asking this is offensive, so if it is I'm sorry. I am just kinda curious how blindness effects UA-cam comments.
@@Error404Nemonotfound Not offensive at all. We use software called screen readers (most original name ™) which can convert text on the screen or text specifically sent to it into speech or Braille. Most things that you can do with a mouse you can also do with a keyboard, so we control the computer and get info from the screen reader with keystrokes. There are screen readers for phones too, you just need to change some of the touch gestures around and they work fine. We can do pretty much anything that anyone else can do, except for video games, which sucks when you're a blind video game nerd lol. Anyway thanks for your curiosity, it's way better than people just automatically disbelieving that blind people use the internet 🙄
Bruh should've type this in braille
nice inclusivity :)
@@raininbrain That is pretty cool.
"...You're gunna have to use base sixty"
Ancient summarians would like to know your location.
"I completely get where you're coming from if you disagree with that, but just so we're on the same page here, you're wrong."
I'm going to frame that quote.
Side note: this video managed to do what your Esperanto video didn't. I'm inclined to agree with you that seximal is better than dozenal.
Where does he get off saying that 5th's are just as, or more important than 4th's? That's madness. He didn't give a single example of why he thinks this.
Where does he say that? I've watched the whole video but can't find it
@@calcium4222 14:25
@Calen Crawford I'd like to introduce you to high-noise environments, where speaking isn't a possibility, but ideas need to be conveyed. Or, for instance, underwater. Or any number of niche but incredibly important locales. Hand numbers are important, now as much as ever.
Also, let's talk about whatever you mean by "giving your arm a quick and sudden jolt", because I think that's just you. If I'm out onsite counting steps, or radio towers, or fence posts, or sheep in my field, or clumps of hair I've pulled out trying to understand your arm jolts, I'm probably going to need more than 12 and I've got a feeling it's more practical than just trying to remember real hard.
As for your zero comment, that quite clearly transcends systems. You've lost me there too.
His entire point about length was that it was longer but that that's a small price to pay overall. We use binary for literally everything in our world today. That video was just a number with billions and billions of 1s and 0s. I mean, isn't that the best possible proof of the power of utility over concision?
Props for the puns though
@Calen Crawford Calen Crawford Calen Crawford Alright, Calen, let's talk about giving responses actual thought, since you clearly didn't either. Your entire point about base-12 being fine to count by hand in is based on the idea that there is never a real reason to convey number by hand. As shown, that is not always the case. Sure, you can make the case that the options I offered are so niche that they may as well be irrelevant, but the point was that you had overlooked some fairly important exceptions.
I asked only because it's a mannerism I have never seen used or heard of existing. Perhaps your method of describing it was too vague or misleading to convey the motion you described? Regardless, I pointed it out merely because it was something that lacked at least the surface clarity of the rest of your comment. Also, attacking my method of response? I went through each of the major points in your comment, responding to each. Same as you just did. Not exactly hard to understand, and I'm not the one insulting people's intellect.
I brought up your zero issue because you pulled it out of your ass. The original video doesn't complain about base-12's 0 hand, the comment you replied to doesn't, you just arbitrarily chose to diatribe upon it. Unless you're trying (and bluntly, failing) to make the argument that you can just flash a series of digits to get a number across, your entire rant on 0 is both pointless and misdirects the reader.
And lastly, dear Calen, be aware that perhaps the barrier to comprehension is not on the side of the reader, but the author. One cannot respond to salient points that only existed in the author's mind rather than being transferred to the page. So perhaps, you need to think about what you write, instead, and ensure that it clearly delineates the connection between your points rather than expecting the reader to combine your thoughts in the same manner.
My brain melted by the end of the second minute
Use seximal anyway
3:00 was where it went from "yeah I think I can understand this" to "oh god what is going on"
"And if it ends it's divisible by one"
(Sad pi noises)
r/IAmVerySmart: First time?
If »integer« ends
You know what there are, right?
integer.
Wtf lol
Fourths are far more important than fifths, and I will die on this hill.
That said, many good points in the video.
welllllll fourths are just half of a half, and by making fifths easier you also make fractions for numbers that have five in their prime factorizations easier
@@demi172 Aye, but we use fourths far, far more than fifths.
i like hexadecimal, it provides a good way to visualize my computer's inner thoughts, desires and soul - but still being quite readable
you hypnotized me and when i broke out, i felt deep emotions humans shouldn't know about
Did you take a Thalasin+™?
In the middle of the video I was like how did i get here? But i was too invested to click off
I personally think base 30 is the best, because it can represent 1/5 as a decimal with finite digits since 30 is divisible by 5. It can do the same for 1/6, 1/4, and 1/8, since 6 is a multiple of 3, and 4 and 8 are multiples of 2.
sounds like a pain to have 30 different symbols for each number
@@specificocean588 we already have 26 Latin letters as well as some Greek letters.
@The Truth: Stranger Than Fiction that's bc there are so many sounds we can make with our mouths. I'm not saying it would be very difficult to remember all 30 symbols but it would be a pain to use them
@@specificocean588 its better than base 20 though, which is just base 10 on steroids since they share the same factors. The Ancient Mayans used base 20 FYI.
@@thetruthstrangerthanfictio954 base 1. Everything is divisible by one. Ez
Watching this feels like what I imagine a stroke sounds like. You're definitely speaking English and yet none of what you're saying means anything to me. :/ This is why I quit math before Calc.
Kimathy one of my favorite quotes: “i understand each word coming out of your mouth, but when you string them together like that they cease to have any meaning.”
@@shadowhejhog sums it up
Kimathy THATS WHAT MAKE IT AWESOME! You have the “benefits” of having a stroke with none of the downsides!
After watching this answer my question
Whats 9 + 10
this is coming from a calculus student: i had to rewind this video so much to understand. but after i got it, i fucking loved it.
For base ten Japanese finger counting is really good. Where the thumb is worth 5 and each finger is 1. It is also visible. It goes up to 100 using both hands. Its based on the Japanese abacus so it was easy to learn then and its not hard to get the hang of. So yes u can go up to 100 in base 6 but its also possible in base 10
Jarrett Spurlock in binary you can do go up to 1023 using 10 fingers. If the finger is down then it represents a 0 if it’s up it represents a 1. So if you have all 10 fingers up that’s 1111111111 or 1023.
@@nanno3680 There are issues when you count 4, 128 or 132 :D
Foo bar wym issues. Those are my favorite numbers. But idk why people get mad at me when I show them to them
@@nanno3680 Symbolic overlapping could potentially explain that :D
Wow that's cool. I'mma use that system for fingercounting forever. Binary confures too many ppl
This is probably the greatest, most meta joke I’ve ever heard…
“Just so we’re on the same page, you’re wrong…”
If we’re on the same page, you’re wrong too ;)
¥£$
Well, the phrase "just so we are on the same page" is a contextualizer, it is supposed to reorient the listener to the speaker's train of thought, so while you are on another page thinking you are right, he brings you to his page by saying you are wrong.
you can derive a divisibility test for a given number by splitting the number in two as a means of simplifying it. for a given number, y is the first digit of the number only, and x is the number without digit y. for example, for 321, y =1 and x = 32. you can combine x and y as '10x + y' to get back the number you chose. we can adjust the statement to create divisibility tests.
as an example, we can make one for 15 (DEC 11). we can multiply our starting statement '10x+y' by 2, to make '20x+2y' (dw multiplication maintains its normal divisibility).
we can then separate out 15x to make '(x+2y)+15x'. since we know 15x is divisible by 15, the test lies in the part in parenthesis (the 'x+2y' bit). just plug in the numbers x and y, and it will output a number. if it's divisible by 15, the whole number is too. it works recursively if you still cant figure out if its divisible.
we are able to make tests for one above multiples of 10, though it will include negative outputs too. if we do 21 (DEC 13), we can use the same '20x+2y' statement, then with a bit of black magic, separate out a '21x' by fabricating a '-x', which makes '(-x + 2y) + 21x'. since we know the 21x is divisible by 21, the test, once again, lies in the parenthesis. in most cases it will produce a negative number, but we swap the signs to 'x - 2y' to make less cases be negative while maintaining its factors. regardless, we can take its absolute value *AFTER* we add the x and y terms.
if you remember, Misali noted that all primes in seximal end with 1 or 5. with that said, it has a very big implication.
this means that in seximal, every prime in existence has easy-to-derive divisibility tests, simply by getting the 'x' value, and adding the 'y' value times the multiple of six that the prime is adjacent to. the only point of complication is to make sure that the 'y' term adds in case the prime ends in 5, and subtracts in case the prime ends in 1. these two cases cover every prime.
there might be specific divisibility tests case-by-case, but this is the general divisibility rule, and it works surprisingly well with seximal.
This video:
My brain: No.
sem
Sym
My brain just rejects this video in the same way the human body rejects organs from people with a different blood type.
@@knightwing5169 don't worry your brain will turn into mush anytime now
Use seximal anyway
I need a new system of counting to count how many times you lost me there because I'm so bad at everything related to numbers
Use seximal anyway.
The octimal base is 8.
.....you’re welcome.....
cool
Octal*
octal
r/technicallythetruth
So the optimal case is octimal base?
I listened for a couple of minutes and couldn’t take it anymore.
It's 1:54 am, I have an AP Calculus exam in 11 hours and a Spanish Final in 13 hours, the US is literally on fire, and a worldwide pandemic is ravaging the world. Yet here I am watching this video.
So, did you pass?
@@jcespinoza No, my internet went out mid exam for Calculus and I ended up getting a 2 on the much harder make up exam. I did pass my Spanish final and other AP exams at least.
@@crimson681 That really blows. They don't know what they're doing if they punish you from service going out that isn't your fault
Hey little twelve toes, I hope you’re thriving.... Some of us ten-toed folks are still surviving....
I knew someone would have thought of this song (it's even got dec, el, and do) and I scrolled until I found it.
To be fair, you can count in base ten similar to base six, only you count the thumb as worth 5 instead of 1. It is called (2,5) cycle and is how japanese abacus (ie. soroban) works
Fun fact, having 5 fingers is actually recessive, and having 6 fingers is dominant, I think the number of fingers is controlled by the HEDGEHOG gene if I remember correctly but I could be wrong
@@naturegirl1999 From what I gather, that is not really the case. Problems with the Sonic Hedgehog gene (yeah, some scientist really did name a gene after sonic), causes all kinds of mammals to develop extra fingers. Not only six, but many many more.
Also, they might appear anywhere in the hand, so you might have extra thumbs or extra pinkies.
@@Alkis05 what I mean by dominant is is one parent has 12 fingers and one has 10 fingers, the child will have 12 fingers
F F
f Ff Ff
f Ff Ff
@@naturegirl1999 I understand. What I mean is that mendelian genetics that we learn at school is not the only kind of inheritance law in nature. This gene is more complicated than that. Plus, this gene has three different alleles, not two: sonic, indian and desert hedgehog.
And as I said, it doesnt control for 10 fingers or 12. It is 10 fingers or many. If you google, you will find people with problems in this gene with 8 fingers in a hand. Of course, since six is the closest to 5, it is more common then the others.
@@Alkis05 Ah thanks
I completely agree with everything in this except the idea that fifths are more important than fourths. Fourths come up every time anyone takes half of a half or divides a pizza. Fifths never come up at all, outside of relying on base 10 (such as estimating something as 80%).
I don't like seximal numbering. I guess you could call me...aseximal
I apologize for that joke
Grumble Bee I applaud you for the joke.
Just FOR THE LOVE OF GOD do not let Tumblr see it!
Math is hard enough. ;o)
"if it ends, it's divisible by one"
Great, Misali.
Great.
14:27 I think our decimal culture over values five and fifths because they're the special numbers that work well in our system. However .2497 repeated is still bad enough to make dozenal worse at this point.
Devil's advocate - we use 7 so often that it's how we group days, and we don't care that 1/7th in base 10 is 0.142857 recurring
@@LowestofheDead oh shit i didnt even know it was like that, fat rip for base 10
@@LowestofheDead It's not any better for dozenal though.
@@LowestofheDead If A is ten, 1/7 is 0.2A52A5... in base eighteen. Thirteenths, seventeenths, and nineteenths are relatively simple but elevenths are filthy
Base 24? Sevenths, elevenths, thirteenths, and seventeenths are all maximum lengths (6, 10, 12, 16)
“Fifths are more important than fourths” because “a fourth is half of a half”.
“Ten only has two factors 2 and 5, while 12 has six factors 1,2,3,4,6,12” counts itself and 1 for 12 but not 10
Okay this comment is just stupid, you misquoted him and missed an obvious joke
@@trappedcosmos I mean I thought it was dumb as well. Care to explain? He said prime factors for 10 but not 12, is that the funny?
This is like Sam o'nella, but instead of choosing a funny subject and then presenting it in a fun way, you chose the most boring subject possible and presented it like a lecture. This is a compliment.
"Which is a reference to Stranger Things."
I could HEAR you smile sweetly when you said this. It was incredibly adorable
Well, I’m pretty happy with your white-text-black-background aesthetic because it makes your videos easier to watch at night before I go to bed :)
You watch these before you go to bed? Casul. I watch these while I'm alseep.
16:00 for anyone wondering, yes he did mean to say one gross eight dozen six great gross ten gross three dozen five eleven gross eleven dozen eleven great gross eleven gross eleven dozen elevenths. can’t believe he’d leave such an obvious mistake in the video, smh.
yeah cool-cool, but if you say seximal you also say sex. i think you should add that to your considerations.
21支搶 damn you look like a funny guy indeed.
Pietro Celano
unfortunately i became a hopeless case
as in i'm 14 but spend my free time on e621
which isn't very funny so yes exactly
@@海達覺得你好嘅ハイ田はあ Is it bad that I know what e621 is?
seximal is the sexiest of all bases
Which is why I say "heximal."