Daniel Yang wooosh

gradle no u

@@danielyang7366yes but it looks like a fish haven't you seen a fish before

No, it's a fibsh. Sea doggos love them.

Yes

that will take place in approx Aleph0 days from now

@Hylian have you tried it? How did it go?

😂

Lol

How was it?

@ODIN Force I agree that infinity is not a number, however, these infinities are clearly different. In math you have to sometimes kind of "make up" numbers. I'm sure you agree with "i" as an imaginary number, and this is similar. If any of these imaginary ideas contradict, they are changed until they don't. Then, what difference is there really between imaginary concepts like this and standard math? They both have defined rules and can sometimes co exist

@@slurpnderp1838 This is where I have a problem. If you state infinity as the set of all numbers then you can't have different versions of it. If you state that you only have even numbers then it is not infinity. It is a subset of infinity with infinity as a limit.

@@pentachronic I think the concept of infinity isn't the set of all real numbers or real and imaginary numbers but just a set with an unending amount of elements an infinite amount of elements. If you define infinity as the way you did with it being the set of all numbers then you limit the abstraction that comes from the concept of unending amounts.

@@spooderdan9127 I understand it as being an infinite set, however you can't just take a subset and assume it is of infinite size). That defies all logic and mathematical rigour. The subset would be a smaller size than the original.

@@pentachronic "Infinity" here is a cardinality, not a set. The set of all natural numbers is isomorphic to the set of all even natural numbers, so they have the same cardinality and are thus both infinite.

because there is something much bigger than infinity: STUPIDITY!

He’s referring to unconditionally infinite!

Philip Kuo deep 😳

The joke is, Buzz Lightyear didn’t know that it’s by definition impossible to reach infinity so he just kept flying and flying and was never heard from again

Maybe he was referring to a flat earth

True

I love it too!!! People won't listen and believe without passion.

7:01 he seems a little frustrated...

@@joelvansickle3623 That's true, it makes a whole difference for us viewers.

Have you seen Cliff?

I have some heart shattering news for you. The size of an atom makes it so individual atoms can't be seen. Atoms are smaller then any wavelength of visible light.

@@cythism8106 you’ve ruined his dreams

@@_xndr7027 lol

@@cythism8106 r/whooosh

HAHAHAHAHAHAHAAH this comment made me laugh so much. Thank you hahhahahahaha

Thyron Dexter you don’t know your limits.😀

That's a scam because it's sum of all the numbers but not the biggest. -1/13 is actually bigger than that, see the difference is there between biggest number and sum of all numbers.

@@gentleman_gaming6529 it's a Ramanujan sum, so -1/12 is not the sum of all positive integers in any way that means anything to the average person.

0-800-????-???

Proove it

0:12 this is not a lemniscate this is a fish !

still better than Matt's infinity sign though XD

Bhai pubg khel na xD

MortaL Well, he's British.

Fir bhi iconic to legend hai🤣

@MortaL what are you doing here 😂 oh i know....you love MATHEMATICS right??

Magar tu to apna Harry Potter hai mortal 😂😂

You can't understand something which does not exist. Infinity is one of them. You only pretend to understand which is infinity away from the truth.

@@countingfloats muggle

You sure didn't understood a lot; like how to spell his name. 'CANTOR'. George Cantor.

@@autumnicleaf Ok, given the cardinality of N is ℵ0, state the cardinalities of Q and R.

The real truth is the human brain cannot grasp the concept of infinity, which is why everyone including Cantor went stark raving mad trying to do so over the last 2500 years.. I’m not saying you can’t have some contextual knowledge, but we will never understand it.. And it’s not because it doesn’t exist..

Well there is a infinite number of numbers between every number :D

really...are you sure? what about lets say 99.5 and 100?

sure there is

hmmm... dont know if i trust that

You are indeed correct. Here's my proof generalised to any two distinct real numbers a and b. Proof. Suppose a and b are two real number. Without loss of generality, say a

Connor Yost that’s exactly what I was thinking!

Connor Yost I

Connor Yost fish live in water not on paper(if you take it like this)

😂😂😁

But you can catch fish not infinity.

Though admittedly at first glance what he draws looks like a fish, in fact it is the infinity symbol.

Infishity

lol

@@photoshopguy4457 Infinishy

Yeah,they spend too much paper!

Look up Smokey and the Bandit laugh and that’s me

The comment that I was looking for

666 likes

This is the comment you’re looking for- Obi-Wan Kenobi

@@thatssomethingthathappened9823 brave, but foolish,

Zoomed in XD

The camera is too close to your face on your google+ / youtube avatar.

I want to see him closer

JESUS IT ZOOMED IN EVEN CLOSER!

IT'S NOT CLOSE ENOUGH

Negin ? Me too. I just smiled for 5 minutes after that

@@nilsdula7693 yeah I also thought it's a really beautiful proof. But the fact that no one believed him and put him in mental institutions is really sad

This just something absurd

31T3 1337 N008 The set of real/rational numbers between 1 and 10 has the same number of elements as the set of real/rational numbers between 1 and 2.

TimofAwsome Clearly not, as the set of reals between 1-10 encompasses every number in the set from 1-2, plus more.

The fact that the set of reals between 1 and 2 is a proper subset of the set of reals between 1 and 10 does not mean the have different cardinalities. Any interval of real numbers has the same number of elements as the entire set of real numbers.

TimofAwsome Oh turns out you're right :\ But how would you prove that each interval on the reals is bijective?

f: R --> (b,a+b) where f(x) = a/(1+e^x) + b is a bijection between the reals and (b,a+b) (you'd have to modify the codomain if a is negative as then a+b would be smaller than b). But this is a bijection between R and an (open) interval.

Dimitris Bekiaris To make this idea a bit more solid, assume there is a number X that comes right after 3. Then S = (3+X)/2 is also a number, but S is between 3 and X, a contradiction.

Dimitris Bekiaris There is something irrational in the use of numbers. After what I know, Gödel's incompleteness theorem is only valid when counting with numbers; pure logical mathematic systems can be complete, but are also very hard to do advanced maths with. In our reality we only have order, logic, relations, proportions and geometry -- numbers is a construction we use as a help, and they only confuse us when they lead us to incomprehensible things like infinity (which probably not exist in reality, either).

If i understand right you say that infinity does not exist but the universe is infinite..

Dimitris Bekiaris No, the universe is probably not infinite. Probably it don't even going to expand forever, because everything that exist (matter, particles) fall apart and dissolve into vakuum.

Dimitris Bekiaris if you are hesitating about that 2.999... should be followed by 3, i have a nice tip (or proof as you will) for you : lets do some simple math --> 2.999...=x ---> lets make another equation like previous one, but ten times bigger ---> 29.999...=10x ---> lets substract the smaller one from the bigger one ---> 27=9x ---> x=3 ---> from the original statement we get ---> 2.999=3 Also you can do this with every infinite repeating decimals, not only with the 0.333... ones but also with difficult ones, like 0.123123123... only here, you have to multiply by 1000, so the decimals line up and substract without problems. And with this method you can convert every infinite repeating decimal into fraction

I thought they were marker stains

@@Janken_Pro it is only your mind trying to protect you from reality.

I see what you did there.

:D

Clever... Very clever...

I don't know why I found that so funny hahaha

pi. 3.14159265358979... < that's all I know from the top of my head lol

ME TOO

Everyone did

Bruh

Yep, they're not *names* because "real", "imaginary", and "complex" aren't nouns; they're adjectives, meaning they are *descriptions* of nouns. The noun described being "numbers". Try not to think about that too deeply, it's just how grammar works. 😅

Something being an adjective doesn't mean it's not a name. By that logic, the Dominican Republic isn't a name because it's an adjective + a noun and we don't say the adjective on its own. Or even United States isn't a name then because we don't just say "United" on its own and it has to be with the noun. That's nonsense. Names don't have to be nouns. Names can be noun phrases as well, including adjective+noun.

When he listed the integers in the video, did you notice what he was doing as he listed them? He was counting... They are "countable" because you can always count them forever, just like you can list them forever

​@@LAMarshallthis is numberphile, not letterphile (sorry, couldn't miss that one)

I have started... and I have finished TWICE. The funy thing is: it's a true history. so.. Math becomes myself into a clone of Chuck norris.

not

@@willeemina Wait until see my math circular kicks...

Sets of numbers*

Yes, if you want to count from betwen 0 to 1, how many digits do you need? how many infinite combinations are on an infinite digit number? it must be a lot

Infinity is HUGE!

I also thought of that

I’m not crying, you’re crying

Sorry but what do you mean?

@@alphaecho3875 you have to read the book to understand

@@alphaecho3875 Imagine the amount of decimals you could list between the numbers 1 and 2 that would be infinite right? of course. Now imagine the amount of decimals between 1 and 3 that would also be an infinite number. So the infinite decimals between 1 and 3 are greater than the ones between 1 and 2 but both are infinite numbers therefore making one infinity larger than the other.

over the last two days, i've been going from video to video feeling the same way. I NEED MORE MATH

Kek mate

+steve vansteenbrugge Trump?

What

+steve vansteenbrugge i thought of a 8=D

Your pepe picture didn't really help tbqh.

Georg Cantor, not to be confused with legendary ubber-falsetto-voiced vaudevillian Eddie Cantor (1892-1964).

There's only one infinity

@@mysticwine there's actually infinite cardinalities of infinity.

@@12jswilson What's a cardinalitie?

@@mysticwine cardinality is the size of a set. For finite sets, it's easy. It's the number of objects. For infinite sets, it's more tricky but we say they have the same cardinality if and only if there can exist a bijection (1 to 1 correspondence) between the set. It's in this way that mathematicians say some infinities are bigger than others. Because there isn't a 1-1 correspondence from the real numbers to the natural numbers, we say there are "more" real numbers than natural numbers.

It's demeaning. It's like he's talking to a 4 year old.

Shut up

@@sparhopper einstein said: if you cant explain it simply, you do not know it well enough

@@sparhopper If you interpreted it that way, then perhaps you do have the mind of a 4 year old

😂

Two old men have a contest, to see who can come up with the bigger number. The first man deliberates long and hard, before he starts, and with a knowing smile proclaims: "78". The second man smiles and nods, defeated.

@@tsawy6 WHAT?!?

@@tsawy6 what dat mean?

@@barritoothy i think because of age and that they feel old and it took a long time to get there. If you are old you will probably think of your age first.

Many crackpots have baulked at the idea of "more than" countable infinity, and many more will do so. It is not hard to see why: it is the intuitive concept of "more" that really breaks down. We mathematicians perceive that 1:1 pairing is a much more fundamental concept than is counting itself, and we are comfortable extending it to deal with the transfinite. But if one cleaves to everyday ideas of size, bigger-than-ness, and so on, this area of maths just seems very strange.

But the concept of countable infinity isnt real. Because u cant do it. Also, he said that 1 infinity can be bigger than the other. How does that make any sense? It does make sense on paper as was shown, but how does that not contradict infinity?

@@Zelchinho The concept of countable infinity is real. The mathematical definition for a set of numbers to be countable infinite is hinted at in the video, which is that the set of numbers is in bijection with N, the set of of non negative integers. (ie there exists a function from the set to N with a one-to-one correspondence). When we say that uncountable infinite sets are "bigger" than these countable infinite sets, there is no real "proof" or mathematical sense to that (to my knowledge) but is purely based on a intuitive/logical viewpoint.

​@@Zelchinhocountable infinity means that you cna find a way to associate each natural integer (0,1,2...) to an element on the set (this association is known as surjection). If all elements of the set can be countable (using mathematical logic, there's a reason the quantificators exists), it is countable Rela numbers are uncountable because there exists no such association (surjection)

how's that possible

+Aniruddh Naganur It's an old joke where people would say that Chuck Norris could do anything. When I saw this video, I couldn't resist saying this joke.

Narata only true KZfaq users remember the classic chuck jokes:)

I heard he did it a third time, but this time he started from infinity and counted backwards to 1

Niels Unnerup Next time he'll start from infinity to negative infinity...

+Vic Pownall yeah, there is a running theme in the book about 'some infinities being larger than other infinities' relating to how an infinity of love between two people with cancer isnt as long as it would be if they didnt have cancer, but it is still an infinity. Or something like that, tbh i didnt pay much attention while watching it

XDDDDDDDDD you won

+Karim Shoaib When I heard that I was thinking TFIOS

Kane Bell That was kind of rude...

+Karim Shoaib best comment ever

That's funny. Me too!

Khulhu Cthulhu same. I'm actually seven

I am 5

Khulhu Cthulhu yeah thn i m not evn born

Because he's a young, smart guy and you don't want to feel lectured by him? Old fart

-8i

Interferencyjny infin8y

you could've put it in a better way, as in infinity is a sleeping 8

Infinity is what happens when 8 drinks a bottle of tequila.

How do you know it's horizontal? Why not vertical? What it actually is, is 90 degrees rotated.

Sir, please don't train young minds to wander too much or too far. The human mind has nothing to do with graciousness or mercy or love.

@@davidwest7299 Love? Are you sure your comment is in response to my comment?

Fractals seem like a very convincing illustration of infinity within a finite space.

@@lawrencedoliveiro9104 Indeed. In our minds only. Physically, infinity doesn't exist otherwise any region of space would be of finite energy.

For every natural number there are two related integers. The set of integers seems therefore twice as large as the set of natural numbers. But if there is an infinite number of natural numbers, and you can't have more than an infinite number of something, then there can't be more integers than there are natural numbers. There can only be more integers than natural numbers when we're talking about the finite. For example, if we have a trillion natural numbers, there are 2 trillion related integers ( for 1 there is 1 and -1, for 2 there is 2 and -2, etc). What does this tell us? That we pay too much respect to the idea of infinity? That it is a mere idea, a mere concept, that it's not real?

Didn't see that lol

+Byakugan Sharing you got him down

+Byakugan Sharingan Yeah I noticed that too but he doesn't change it. You can see he just put the minus in front of it as it's very close to the comma compared to the other negative numbers he wrote down.

Recent studies demonstrate that 99.99% of The viewers of this video just paused it at minute 1:51 To See if your affermation was right PS: I didn't

nope man, he lists positives first, then negatives

They're sold on ebay to raise money for charity :)

Neil McMahon Hippy.

edadou lol

Ed Gein Noticed by Ed Gein, I feel so special..

Andy Merrett Maybe the best system from a bad lot.

Help me-this hurts

Respectfully, I disagree. I contend that there are too many close-ups and that the cinematic quality would improve if they added more medium shots to the mix.

@@michaelerickson985 Either this channel has more than average number of trolls, or more than average number of people completely incapable of understanding the notion of a joke. I bet on the second

Why kind of videos someone watches at 2 am.... This ofc

2:26 am for me atm, while doing calculus homework LOL

do what I did, chug some NyQuil...

2 week ago...

1:59 here 😂😂

Ordinal infinity or Cardinal infinity. Or one of the many other variants of infinity. Assuming ordinal infinity as otherwise you couldn’t count it twice. And therefore he not only counted to infinity twice, but also three times and 100 times and infinity times. Chuck Norris counted to Infinity. Infinity times.

@@loganm2924 Awesome.

@@loganm2924 twice

@@loganm2924 *"...Chuck Norris counted to infinity...."* And found Bruce Lee waiting for him and he said to Chuck *"...What was that?..."*

Logan McDonald are you the maker of true infinity? Are you Reinhardt-C?

Sneakers are costing so much nowadays that they are raising the price to infinity

I got here by a video how much you click on your keyboard and the fun was, When you click space 600, 000 peoples do that at the same time you do

XD

You've probably watched similar videos so it got recommended

+Alpha XenoGenesis (TBNR) I got here from the Rogue One trailer, funnily enough.

And Vsauce

Its Cantor Set , cardinality = aleph-0

You learn it in any discrete mathematics class.

@@tay_piss_saucer_mk.400 no no no. The cantor set is actually uncountable because it contains all binary numbers which is uncountable.

I agree with this wholeheartedly. Think of infinity as a measure of density rather than a measure of size.

i also completely agree with u

+A. Joe Technically very true. As Vsauce explains, the list of whole numbers isn't "twice as big" as the list of even numbers - it's just denser.

+NoriMori The whole numbers are twice as dense as the even numbers, but they are both the same size, a countable infinity. Using density isn't really helpful, especially considering that the reals are (uncountably) infinitely more dense than the rationals which are (countably) infinitely more dense than the integers which are infinitely (still countable) more dense than the squares of integers and so on. Density means nothing in infinities, size is a much better determining factor.

Nukestarmaster But as you pointed out, if you only consider size, you wouldn't understand a key difference between - for example - the whole numbers and the even numbers. Perhaps both have their uses.

Yes YoshiFace. Cantor, that did all that demonstration and created what is known as the set theory, demonstrated that there are infinities of infinity and that concept is really not a concept, it's the simplest part of what he did. Let make things clear first... it's difficult to talk about infinity when we misuse the vocabulary. "infinity" is the concept of infinity "cardinal" is the "number" of element(s) of a set "infinity" can also designate an "infinite number", they are called by Cantor (I think it's him) : transfinite numbers. Your question then being : "Is the cardinal of the set of transfinite number infinite ?" ... again, the answer is yes. Cantor proved that if you have a set A, infinite or not, the magnitude of the cardinal of the set P constituted of the "parts" of A, is a magnitude higher than the cardinal of A. Intuitively, we can write that card(A) < card(P) But you must understand what it means when A and P are infinite sets... In the case of A being an infinite set, its cardinal is a transfinite number. And Cantor proved that you cannot match all the elements of P uniquely with an element of A. Thus, cardinal of P is higher (bigger) than cardinal of A. Now, that's the beauty of math : you can continue infinitely with the P again, and construct the set constituted of parts of P. That set will then be of a cardinal bigger that the cardinal of P itself. You can then start with the set A0 being the set of all natural number of size aleph-zero (the first transfinite number) and build a list of transfinite numbers : {A0, A1, A2, A3, ...} with : A1 = the set of parts of A0 A2 = the set of parts of A1 ... and that construction has no end itself and each A* is a transfinite number different (higher) that the ones before it Thus, there are infinite number of "infinites" (= transfinite numbers). (sorry if I'm wrong about the name "transfinite number" and also about the construction of the sets using the "set of parts"... maybe it's an other construction Cantor used. But the idea is that one, roughly.) Have fun ^_^

Though true, this particular proof only shows 2 types of infinities.

Actually I don't agree with this concept. For example: The infinity of integers is the same size as the infinity of decimal types. It might be slightly filosofical, but I compare it to the speed of light. Something that has the twice the speed of light is as fast as something that has once the speed of light, there are a couple of reasons for thing which are hard to comprehend in the accepted system we use in our society, but with infinite numbers it's the same in my opinion. A infinite amount of integers can go on forever, so can a infinite amount of decimals, therefor they are the same.

Niels Jan van de Pol> you cannot say "an infinite amount of integers can go on forever, so can an infinite amount of decimals" and the conclude that "THEY are the SAME". No, there is logical implication there... you have to proove what you say. And indeed Cantor proove that there are at least two "size" of infinities... and in fact there are an infinite size of infinities also. But all infinities, however "small" they can be "goes on forever" by "definition" ^_^

Marc Ly I think people are just getting confused by what the word "bigger" actually means in this video. Just think of the "bigger infinities" as 'encompassing' more dimension. for example: one line that looks like this - is smaller than two lines that intersect like this + but all lines go on for ever in each direction in both cases. The smaller case takes in to account left and right while the other has left and right but also up and down.

And now?

Hey I want to delve deep into this. Can you suggest some textbook to get the feel of it :)

xooperz FBF that's true for rational numbers as well. that's not the difference between reals and rationals.

+xooperz that's not to say that there isn't a bijection between those two numbers and the real numbers. there's a bijection between any two real numbers and the set of all real numbers

That's a comma...

Chica the Chicken What?? What are you talking about?

+xooperz Oh...never mind, just saw it. Sorry to cause trouble...😵

timewasteland Except that that's nonsense.

Bon't blame me, Blame the author of the book the quote is from. Math was never my thing, anyway.

I haven't read that kind of nonsense since I was 6 years old.

'If you divide a non infinite number an infinite number of times the result isn't infinitely small'- simply not true. 1/infinity =0

That man clearly did not grasp the idea of a limit.

I don't know too many people who believe anything infinite can exist within the universe. Nevertheless, we can do mathematics with infinite sets and various concepts of infinity. If you have a philosophy of mathematics where math actually exists in some metaphysical sense, then you might be concerned by this. Maybe dealing with infinity in math is wrong! There is nothing in the universe which is infinite, so how do we know we're correct about it in math? This isn't a death knell to the philosophy. One can believe that the concept of infinite things still is a valid concept and we can abstractly work with it even if nothing *physically infinite* exists. But there are other philosophies of mathematics. Things like antirealism, where mathematics is seen not as a thing which actually exists in a metaphysical sense, but more of as a useful fiction which we might or might not use as a tool or which we might view as beautiful like art or intellectually stimulating like philosophy. There is certainly utility to some mathematics of the "infinite" under such a philosophy - some statements about an infinite set simultaneously encode infinitely many statements about finite sets and thus reduce the amount of work we must do to express those infinite families of statements. And some may just be for beauty and a desire to speculate.

​@@MuffinsAPlenty Would space being "dense": any non-zero length can be divided into strictly smaller lengths, imply the 'physical existence' of infinite things? It kind of does to me, because then any *exact* representation of the universe would require infinite precision (countably many numbers/bits). At the same time, one may never need the full exact representation. We could always work with an approximation that suits our purpose (as we do with pi, e, etc.). It would be interesting to find out if it is possible to set up an experiment which determines if space is dense in the above sense; or even rule such an experiment out (which would make the question unscientific...?).

Josh Werner that's actually more interesting than this video

your observation tho

Math illuminati confirmed

johnytest464

A-THE- 1ST Define space and define the universe. That will make your question answerable.

They came at the same time...?

because there is something fishy with the very concept of infinity (not the potential one, but the REAL one)

when you get to the Berkeley cardinal: we're in endgame now

Hey what does this mean I don't get it

@@NathanielCoran Avengers Infinity War

@@andrewgrebenisan6141 Yeah what's that?

endame is -1/12 lol is it

That makes perfect sense

Everyone learns at their own pace, don't worry about it

I'm a teenager and I don't know how to socialise properly, while my peers pull it off gracefully

There are actually an infinite number of infinities beginning with aleph zero, each one bigger than the last

@@dcqec111 are still talking about types of infinity of just "infinities"? I mean, are there infinite types of infinity?

Nothing to do with the vid but okay.

+JYE - all hail Lelouch

Now now, number six...

That is what every number thinks

Its not about the number standing alone numbers are only value when they come together. Same with humans. One human is weak. Alot of humans are strong. We need eachother like numbers do

Are you sure? it's past your bed time

+Ben J hold this L

Keegster Z L

+Keegster Z hold this L too bruh

+Ben J *Tosses L*

same

I know right?

Unlistable!