How To Count Past Infinity

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my twitter: @tweetsauce
my instagram: electricpants
Sources and links to learn more below!
I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it.
I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin.
And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: / numberphile
BOOKS related to these topics that I used:
“The Outer Limits of Reason” by Noson S. Yanofsky: amzn.com/0262019353
“Infinity and The Mind” by Rudy Rucker: amzn.com/0691121273
“Roads to Infinity” by John C. Stilwell: amzn.com/1568814666
“More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: amzn.com/1551119099
“Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: amzn.com/0486470369
classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: amzn.com/0486488209
Hugh Woodin speaking about infinity at the World Science Festival: • Infinity: The Science ...
Names of large (finite) numbers: en.wikipedia.org/wiki/Names_o...
Geoglyphs:
The biggest number: goo.gl/maps/7GWcpnzo7iG2
Fovant badges: en.wikipedia.org/wiki/Fovant_...
Battalion Park: en.wikipedia.org/wiki/Battali...
A mile of pi [VIDEO]: • Mile of Pi - Numberphile
Wikipedia’s great visualization of ordinals out to omega^omega: en.wikipedia.org/wiki/File:Om...
as seen on: en.wikipedia.org/wiki/Ordinal...
this is also a good page about ordinals: math.wikia.com/wiki/Ordinal_Nu...
also: www.cut-the-knot.org/WhatIs/In...
and: en.wikipedia.org/wiki/Order_type and en.wikipedia.org/wiki/Well-order
Axioms:
en.wikipedia.org/wiki/Axiom
/ have_there_been_axioms...
philosophy.stackexchange.com/q...
www.cs.umd.edu/~gasarch/BLOGPA...
www.cs.umd.edu/~gasarch/BLOGPA...
THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES
[PDF]: www.maths.ed.ac.uk/~aar/papers...
en.wikipedia.org/wiki/The_Unr...
Large Cardinal game based on 2048: cantorontheshore.blogspot.it/2...
Other good resources:
quibb.blogspot.com/2012/01/inf...
plato.stanford.edu/entries/set...
cantorsattic.info/Cantor%27s_A...
cantorontheshore.blogspot.co.a...
isomorphism.es/post/1078208142...
lukepalmer.wordpress.com/2007...
MUSIC BY:
/ jakechudnow
www.audionetwork.com

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14 май 2024

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Комментарии : 82 тыс.

@Vsauce 8 лет назад

listen to what I say at exactly 0:40

@jackparry7719 8 лет назад

@Fundi007 8 лет назад

+Vsauce mind = blown

@tcorrea2367 8 лет назад

@connorf8638 8 лет назад

@marcusbui235 8 лет назад

Ignt

@ItzKernel 5 лет назад

-So can we count to Infinity? -ℵₒ

@ItzKernel 5 лет назад

@Una Kovacevic idk xd

@ChickentNug 5 лет назад

What?

@therainbowwillow4453 4 года назад

😂😂😂

@viperstriker2357 4 года назад

§4

@MrEnhancedGenetics 4 года назад

Omega + Aleph null = ?

@AlvaroManiac1 5 месяцев назад

The seemingly random "post credits" scene was incredible. "Omega + one" indicates a number that is in order after the "last" of the natural numbers. Having that bit play AFTER the "end" of the video was absolutely genius and wonderfully creative.

@smallw1991 4 месяца назад

Least genius vsauce moment:

@ShwappaJ 3 месяца назад

@@smallw1991 bro had to use Aleph Null of his I.Q. to tell us that part lol

@POLARTTYRTM 3 месяца назад

I always watched this video since it has been uploaded and never really noticed this aspect until I read your comment.

@sabhiyakhan9899 24 дня назад

The sound ❤ what he is talking about 💀

@Davsennn 2 месяца назад

1:00 How to count according to Michael: 40, 41, 42, 43, a billion, a trillion

@RedNumber19 Месяц назад

It stops at 40 cause it’s the biggest

@mjthebest7294 29 дней назад

LMFAOO

@RaniaAbdoelaziz 25 дней назад

But what about 41 42 or 43 44 ?😊

@frensaileenasahid9780 20 дней назад

1:67

@IdkmynamepIzhelp 16 дней назад

He’s counting down as he said that 40 was the biggest number

@NoobHashtagPLS 4 года назад

9 year old me: *Infinity plus one.*

@BMXSymmetry 4 года назад

Smart alek

@andrewzhang8512 4 года назад

@@BMXSymmetry *aleph

@BMXSymmetry 4 года назад

Andrew Zhang oof idk how to spell that word thx

@andrewzhang8512 4 года назад

@@BMXSymmetry It was a joke, m8

@Alexander_Jaelan_Cummings 4 года назад

IKR

@vvvss-cx1vd 3 года назад

How to count past infinity: Dumb people: infinity+1 Smart people: you can’t Top mathematicians: infinity+1 lmao

@bluthemeth 3 года назад

lmfao

@sangitarajpatel3960 3 года назад

AHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA@AAAAAAAAAAAAAAAA@AAAAAAAA@AAAAAA@AAAAAAAH AH HAHA HA

@jumpyyjasminee5315 3 года назад

Whats......infinity - 1

@canadaman3191 3 года назад

@@jumpyyjasminee5315 Aleph -1

@jumpyyjasminee5315 3 года назад

@X3DwAnY - ive always been vonfused mah man

@rory704 3 месяца назад

16:03 "we’re cooking now". I didn’t know people said this 7 years ago I thought that only came out last year?? How ahead of vsauce’s time was he?

@-SPACEBOY- 3 месяца назад

He's Omega

@liam78587 3 месяца назад

@@-SPACEBOY- cleverrrrrrrrrrrrrrrrr

@toyfreddygaming 3 месяца назад

expressions related with cooking or eating have been around for quite a while, but it only now got real mainstream thanks to instagram and such. It was funny seeing michael say that tho lole.

@suspicioussand 3 месяца назад

He's ω+69 years ahead of all of us

@vogelvogeltje 3 месяца назад

😂😂 gen Z didn’t come up with “let him cook” or “we cooking now”. Your age is showing.

@Awais.... 3 месяца назад

This video is 7 years old yet still feels like it was uploaded yesterday

@SnakeArtsOfficials 2 месяца назад

2017.....

@alexsummers691 2 месяца назад

2016* @@SnakeArtsOfficials 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓

2 месяца назад

2015* 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓 🤓@@alexsummers691

@tr4inwr3ck.d Месяц назад

@@alexsummers691 7 years, 11 months and 22 days ago currently☝🤓 🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏🤫🧏

@yepyepmusic 12 дней назад

Yeah right?

@BhanuPChauhan 8 лет назад

Never discuss infinity with a mathematician, they can go on about it forever.

@GabeAF 8 лет назад

@Lolcontract 8 лет назад

I see what you did there

@alfae7771 8 лет назад

ayyy

@zymbia 8 лет назад

+The TropicDolphin K Q wat

@propper-g7725 8 лет назад

like a neverending argument

@ScientiaFilms 8 лет назад

ah finally a way to measure your mom's weight

@chay1194 8 лет назад

+TheOsva75 fat

@RealLeel 8 лет назад

@tortellinideal4046 8 лет назад

Look who's talking

@QuellastranapartediYoutube 8 лет назад

+EvilisMe No, really, maybe it was too easy, but i'm laughing anyway

@obesedog23 8 лет назад

@liam78587 3 месяца назад

21:00 and this is why i absolutely love and adore mathematicians they're just like me "oh this is absurd that makes no sense but yknow what let's keep going anyway let's see how far we can go"

@santoi 2 месяца назад

So true!

@jacobwiren8142 Месяц назад

"There was a point in time when we should have stopped, and we have definitely crossed that point, BUT LETS KEEP GOING ANYWAY JUST TO FIND OUT WHAT HAPPENS!"

@thatpoemguy2083 Месяц назад

That diagram is one of my favourite parts of the vid, mostly because of the names that they've chosen. Like, what the hell is "measurable" doing all the way up there?! 😂 And just above it is strong. Just "strong". And then there's huge and almost huge, which I get the sense were discovered in that order somehow.

@Alwayssmiling123 Месяц назад

the fun part is it's absurd but it does make sense

@treecko7424 2 месяца назад

Important note about the continuum hypothesis (CH): It's not just that it's unsolved, it's actually unsolvable. CH has been shown to be logically independent from the ZFC axioms of set theory - that is, you can show that CH is not a theorem of ZFC and that the negation of CH is also not a theorem of ZFC. This is ultimately a consequence of incompleteness - any set of axioms and system of proofs must contain propositions which are neither provable or disprovable

@Friendly-Neighborhood-Asexual Месяц назад

Unsolvable? That's annoying

@GalaxPVP 11 дней назад

what the fuck i didnt understand any of that

@Friendly-Neighborhood-Asexual 11 дней назад

@@GalaxPVP Basically: we know that the amount of real numbers is more than the amount of rationals and integers, but we don't know _how_ much more.

@andrewpinedo1883 10 дней назад

⁠⁠@@GalaxPVPThe continuum hypothesis is unsolvable because our logic and axioms are insufficient for defining the value of the power set of aleph-null.

@GalaxPVP 10 дней назад

@@andrewpinedo1883 oh ok

@Logicalpsycho2323 5 лет назад

Nobody: Vsauce: How to taste the color 7.

@XenoghostTV 4 года назад

MMMMM TASTY

@madkirk7431 4 года назад

*_BANANA SUNDAE_* mr.beast reference

@1Squidd 4 года назад

I'm guessing strawberry

@katakana1 4 года назад

It tastes like synesthesia..

@ganaraminukshuk0 4 года назад

Took me a while to realise that's two different sensations and a number.

@GalaxyToons 2 месяца назад

“All we have to say is ‘Let there be Omega’, and it will be good.” Why does this sound like a quote from a fantasy movie lmao He would definitely be the cool wizard guy that guides the hero

@AndresFirte 2 месяца назад

It’s a reference to The Bible, in particular the book of Genesis, about god creating stuff like light.

@kzeriar25 Месяц назад

@@AndresFirte that's a great fantasy book (jk)

@natalielewis5369 3 месяца назад

Man, for some reason no matter how hard I try, I cant bring myself to stop watching. I ask myself, "When will i ever use this knowledge?" and my answer is never. But still its so entertaining to watch numbers over numbers of complexity and pretend i comepletely understand and I believe I understand too just because of his amazing teaching. Well Vsauce, you just gained another VERY big fan and subscriber. I got notifications going.

@yensinha 3 месяца назад

I think it's because he's everything that schools aren't; fun and we actually understand his explanations

@jacobwiren8142 Месяц назад

The beauty of math is that it invents tools that we don't need now, but MAY need hundreds of years form the now. The mathematician Euler did some finicky math hundreds of years ago and came to the conclusion that "the sum of all real numbers" was equal to "-1/12". It was a bizarre conclusion that he threw out... Now whenever a computer calculates infinity, we tell it to replace it with -1/12 and it works. Euler used math to invent a computer algorithm hundreds of years before computers even existed.

@EthanWintersLeftHand 7 дней назад

Nerd

@DanielGonzalezL 6 лет назад

"There are numbers bigger than 40.. 41.. 42.. 43.. *A B I L L I O N* *A T R I L L I O N* " Man that escalated quickly

@SJNaka101 6 лет назад

i mean, in the context of this video, those were puny jumps

@bernardcernea6792 6 лет назад

not as fast as TREE(3)

@Scarlet_goose 6 лет назад

Daniel Gonzalez do not

@Scarlet_goose 6 лет назад

Daniel Gonzalez do not have to be able to get the Playstation the same time as the best way to get the best way to the $ 1356#585376 die , and the City of new York City new Zealand the same time as the first time in my opinion

@DanielGonzalezL 6 лет назад

Tanroop Singh Hey, how's the schizophrenia going?

@wolfemooney7188 4 года назад

40: exists 41: I'm about to end this man's whole career

@galaxypl7756 4 года назад

42: *growling*

@Radithor 4 года назад

@Silk0 Gaming 1,000,000,000: come again ni**a

@crooser64 4 года назад

1,000,000,000,000: *laughs in the distance*

@andymackiewicz7299 4 года назад

*Octillion:* aaghh stoop

@justasec5894 4 года назад

42 : am i a joke to you

@skitthebagel 25 дней назад

we had dimensions in objects (e.g. 2D, 3D), and the way vsauce described infinities, i think we also found them number dimensions

@andreasalucci8603 2 месяца назад

I'm in tears (I exaggerated. Actually, better than in tears) and with thrills (shivers? I don't know English) each time I watch this video and the Theta is reached. Really big thanks to you, Michael, for having brought me joy, having brought me sense, after I discovered that atoms are not so tiny, galaxies not so big, the universe not so old (recent history is comparable with the history of life and Earth), that anything material is not surprising but that there are things, actual logical things (don't know how much this counts), that can go even way beyond what satisfies me, my hunger for the greatness and the epicness, and Sense. Sense of life to me is merely complexity. I discovered the magnitude if Graham's number and felt shocked. I discovered these "numbers" in the video, in respect to which Graham's is totally nothing (actually infinitesimal) just in comparison with the first one, the numeral infinite, aleph_0. I will take refuge in the ideal world. Mathematics, with its total rigor, the minimal starting points and its complexity, hasn't disappointed me much, yet.

@jchung0510 3 года назад

The largest number is “error” you can ask the calculator

@technoultimategaming2999 3 года назад

Specifically a calculation error

@scotty71273 3 года назад

That’s true

@MoonPenguinGod 3 года назад

LOLOLOL FACTS

@Gary_67 3 года назад

U can ask yourself sshh yishsyhsbsyusyhsybbbsbsybsybsysnnsuhsnuhs and it will say error

@marwasleek2697 3 года назад

No it 0

@bryanrosa27 4 года назад

Michael: “how to count past infinity” 6 year old me: *_infinity and one._*

@ansems3309 4 года назад

22 year old me: *_infinity and two_* ?

@D4rkker. 4 года назад

10 year old me: *infinty and infinity*

@Sharkee-us9kp 4 года назад

80 year old me *omega + omega*

@lolnotwoody1 4 года назад

Infinity x infinity

@asfadanny 4 года назад

0÷0

@SARTHAK-xc9dk Месяц назад

00:03 Infinity is not a number, but a kind of number. 02:41 Aleph null is a big amount, bigger than any finite amount, but we can count past it using supertask. 05:05 Ordinal numbers are used to label an infinite collection beyond the naturals. 07:30 The order type of sequences and different infinities explained. 09:56 Diagonalization method creates new subsets beyond infinity 12:20 Mathematics is based on axioms and is unreasonably effective in natural sciences 14:53 Axiom of replacement allows construction of new ordinals without end 17:13 The continuum hypothesis is an unsolved mystery. 19:15 Inaccessible cardinals represent a number that cannot be reached from below. 21:25 Infinities may exist beyond the physical realm. Crafted by Sarthak Naithani *i understand everything albert einstien*

@XaiverXD 3 месяца назад

I watched this video a while back. Brings back good times.

@brualdasil2 8 лет назад

"Mom, Vsauce glitched my brain again!"

@MrConnectionError 8 лет назад

@aerocap 8 лет назад

Lol

@allmightylancerd5253 8 лет назад

My brain blew up

@panterytexxx1 8 лет назад

and my raind turned into poop and pooped

@zarovv5589 8 лет назад

+brualdasil2 this is so easy for a computer science graduate i almost fell asleep in the video.

@memzlord8600 5 лет назад

Mom: take a break Me: Do you even exist?

@Coiote_23 5 лет назад

@vibolstation3321 5 лет назад

You got me tho and I'm finally got the second Place of the replied

@rioritariorita 5 лет назад

Trash the PC!

@MrCubFan415 4 года назад

memz lord (vsauce music plays)

@user-nh5wj6en5j 4 года назад

memz lord lol

@TheNapoleon82 3 месяца назад

Michael, i must thank you, enytime i have a test, i watch your videos and my head suddenly starts to hurt.

@lubomirkubasdQw4w9WgXcQ 3 месяца назад

i remember, this was the first ever Vsauce video i watched, at my Grandmas house on a laptop. i came back here to say that. ok bye

@meestyouyouestme3753 3 года назад

“I love you infinity +1.” “I love you 40.” “Damn”

@joggie. 2 года назад

I love you first letter of the hebrew alphabet 0

@locvide898 2 года назад

Underrated comment

@kreckdem_7340 2 года назад

I dont find aluf nol in my keyboard

@datonerussiandood 2 года назад

then love them to infinity and beyond

@cinnamonrolls7234 2 года назад

@@kreckdem_7340 aleph null

@levithe2nd 4 года назад

God: how many years do you want to live? Queen Elizabeth II:

@kid_toucher 4 года назад

Hurb

@ihavenoname1136 4 года назад

God: how many years do you want to live? Queen Elizabeth II: Yes

@tricky6476 4 года назад

Cristina anduru that was my speech of spelling bruh backwards

@warrenlamont8233 4 года назад

Inf

@kid_toucher 4 года назад

@@warrenlamont8233 v

@Goblinking-ps7fs 8 дней назад

This is the one that started it all for me, the first vsauce video I ever saw

@Jayshiver 5 месяцев назад

3:27 written out I believe that would be [((10^10^100)!)^((10^10^100)^(10^10^100))]^2 x Graham’s Number (Sorry if some of the parentheses were redundant) Graham’s number alone is so big there literally isn’t enough space in the universe to write it out in any normal algebraic capacity. Even googolplex, as gigantic as it is, can be written pretty easily as 10^10^100. Graham’s number might as well just be infinity, but if it’s multiplied by all that, it would get even MORE incomprehensibly big somehow. Even that incomprehensible number Michael named, however, might as well be 0 compared to Aleph Null, which is just the first of a number of infinite infinities which go on forever just like the cardinal numbers did before them. My head hurts

@averagejoe7472 4 года назад

Me explaining my parents that u cant pause an online game:

@imleilani1314 4 года назад

ahahahhahha

@arandomelf3050 4 года назад

Lol so true

@sarahclaire6403 4 года назад

True

@d0r1t0d4v3 4 года назад

same

@malakal-zubaidi9177 4 года назад

Thats me-

@irenejavelosa2945 4 года назад

This literally, physically, mentally, emotionally, spiritually, chronologically, theoretically, socially, psychologically, metaphorically, and exactly hurt my brain.

@Chasta1n42 4 года назад

Lol same

@jacobbishop8067 4 года назад

Well, thank god that it wasn’t hurt literally

@irenejavelosa2945 4 года назад

@@jacobbishop8067 thanks for the reminder. I forgot that.

@Heyejen 4 года назад

@hi-wu7ju 4 года назад

I currently have no brain left and am still getting hurt in all those ways

@mr.voidroy6869 3 месяца назад

5:00 the infinate hotel explains how an infinste hotel has infinate rooms and if they are fully booked, you can simply just move everyone down one room to open up a slot

@sock1 3 месяца назад

the short infinite hotel video also explains how the infinite hotel could get full. watch that whole video.

@charlieborchardt2066 4 месяца назад

I think a set of all naturals is N1 because you could divide N by N to get 1. Then 2^1 is 2. Multiply that by N again and that is N2.

@dam7196 8 лет назад

This confused me, then pissed me off, then made me feel so relaxed

@dam7196 8 лет назад

+dam7196 i'm pissed again

@dam7196 8 лет назад

+dam7196 it's so cool that we have the technology that allows for presentations like this. I'm currently studying the physics of sound (sound itself, the perception of sound, and applications to musical instruments). It would be almost impossible to do learn it with the technology only a few decades ago. this is all so crazy

@frisby850 8 лет назад

+dam7196 lol

@johntitor1619 8 лет назад

+dam7196 welcome to Vsauce.

@heners3423 8 лет назад

+dam7196 same

@marcogarciamedina8933 8 лет назад

Vsauce videos Title: Is fire hot Answers:Yes Talks about birds for the rest of the video

@fjukinorge6278 8 лет назад

fat

@aspebb 8 лет назад

So very true.

@insaincaldo 8 лет назад

+John Chaser At least they only waste little time and space, while others act entitled and take time to be hurtful.

@filipmajewski8382 8 лет назад

+Marco Garcia More like Is fire wet? No... or is it?

@doktawhawee9870 8 лет назад

+John Chaser Amazing. Hey! listen! Not everyone has to agree with you! They aren't a specific thing because of that. Imagine saying that in real life. "If you don't agree with me than you are this". That would NEVER happen! I know you didn't say this exact words, but that is the message you are giving. Please just get out of this mindset, and it may effect you in real life. And finally, comment back. I dare you. You will describe how, because I disagree with you, I am a terrible person and brain dead and retareded. But look. Think about it. It is extremely, EXTREMELY stupid! It would be like going into a court room and saying that, even if all the evidence is against a murderer: " You brain dead idiots! I think he is not guilty AND THEREFORE I AM RIGHT!" Again, that would never happen! Take a step back, and look at what you said. Same goes for the guy you were replying to! It's their opinion! DON'T call them fat for it! I swear, the youtube comment section is becoming more and MORE like DEFFOCATION!

@tabbairl 29 дней назад

Something cool to mention is that is that there are TWO infinite sets and 0 is a transfinite gateway keeping positive/negative omega times/power/root of whatever as the same set but anyone that disagrees, I am entitled to my opinion and same for you.

@Shparky Месяц назад

I love coming back here year after year, just for the exhilarating and visceral vertigo.

@HyperionStudios 4 года назад

"0=1" Yup, I've had enough of math today.

@HVLLOWS1999 4 года назад

You noticed that too!

@DembaiVT 4 года назад

It makes sense though!

@haniyasu8236 4 года назад

hey now, if you consider a Field of characteristic 1, then 0 necessarily equals 1. It's just that the only field with characteristic 1 is the trivial field and well... no one actually cares about the trivial field :(

@sirbillius 4 года назад

So 0=1 being there is not stating that 0=1 is a true statement. The hierarchy is shown in the order of the strength of the axioms. 0=1 is at the stop because it is so strong that it is inconsistent with our rules of math and therefore anything can be explained using it because at that point everything equals each other. It isn't a true axiom that is actually accepted it's just a cap on the strength of the axioms declaring the existence of larger cardinals. All other axioms lower than it and are weaker than it and, therefore, they remain consistent with math.

@owengette8089 4 года назад

Sir Billius So, is it kind of like a math black hole, where there is so much matter that the laws start to shift?

@lukescott6123 8 лет назад

In high school I was telling my friend about omega and I got a detention for drawing "balls" on my paper ....

@JundaMusic 8 лет назад

Bruh

@noxcaelo4902 8 лет назад

bruh

@Kelly-gn7xb 8 лет назад

+luke scott bruh

@yuya6530 8 лет назад

+Kelly O u ruined it

@Kelly-gn7xb 8 лет назад

Yuya Fujisawa Perhaps

@Denialisaheathen 3 месяца назад

There will be a finite number of atoms in the uni verse timeline there will be a practical biggest number in terms of the universe but to calculate it you would need to know 1. The approximate death date of the universe, and two the universes current size meaning that it is theoretically impossible to answer this question.

@keijimorita1849 4 месяца назад

Love this so much! It's a blurring of math & myth.

@Khanaltai 3 года назад

When you look away for 1 second in class:

@NautsuJJR 3 года назад

k Im gonna try this. Im gonna look away for one second next time in my math class, and if michael isnt there youre stinky poo

@MintylLilGuy 3 года назад

@@NautsuJJR so what happened? Did he appear or not

@JqAnimateshello 3 года назад

LMAOOOOOOO THIS IS UNDERRATED

@MintylLilGuy 3 года назад

@@NautsuJJR i've been waiting for a week for godsake DID HE APPEAR OR NOT?

@riymeep6708 3 года назад

@@MintylLilGuy It's Michael. He appears everywhere, yet also nowhere. *Or did he?*

@who502 3 года назад

“Why didn’t you do your math test?” *”I don’t believe in numbers.”*

@speeder.x9983 3 года назад

“Numbers are a hoax made by the schools to make me use a pencil! Pencils are know to kill people and they can’t fool me, you sheep”

@Aden068 3 года назад

@@speeder.x9983 true

@GoldDukes 3 года назад

@@speeder.x9983 ummm okay XD

@thomasgarcia8118 3 года назад

🙏🏽

@Qaptyl 3 года назад

infinitist

@Fennaixelphox 9 дней назад

I like the symbolism of θ being used to represent the inaccessible cardinal. It looks like a "no" sign, but it also looks like a corrupted 8, in the same way that infinity is a sideways 8. It's also the first letter in "Thanatos", meaning "death."

@mihalex1999 2 месяца назад

I am a CS student and your content is absolutely priceless. I took a course about this subject and you helped me to understand infinity better. Complicated and interesting topic. Love your work

@zeuxis9169 4 года назад

Fun fact: infinity+1 is bigger than infinity. Source: 7 year old me arguing with my siblings

@thatdboyy74 4 года назад

lol 😂

@contender5 4 года назад

Hahaha I remember that “yeah infinity and one is bigger than infinity” *me arguing with my mum while I’m 8

@sophiegraham6174 4 года назад

Infinity+infinity b*tch

@caydenm1989 4 года назад

DOUBLE INFINITY HAS ENTERED THE CHAT

@ladolancea.garcia5569 4 года назад

Infinity×Infinity×Infinity

@datonecaleb860 4 года назад

Michael: well, there's 41 Me: ok Michael: then there's 42 Me: yea Michael: and then 43 Me: mhm Michael: a billion Me: now I'm not sure about this, but I think you skipped a few Michael: a ᵀʳᶦˡˡᶦᵒⁿ

@doug_buck 4 года назад

why do you talk to a screen

@mistajaeger742 4 года назад

why ask

@radrayj4933 4 года назад

omega looks like a butt or upsidedown 3

@goldenrobobutt9907 4 года назад

Me an intellectual: Infinity to the power of infinity

@VanesaRampe 4 года назад

ⁿ⁰

@calypso0523 4 месяца назад

3:34 that drop hits HARD

@501BG 5 месяцев назад

Vsauce you were in the Australian academy of science for this video!!!

@donenod9991 4 года назад

It makes sense that 40 is the biggest number. It's extra large (XL is 40 in Roman Numerals).

@ishantyadav5532 4 года назад

Oh man!!!! Then what's XXL or XXXL or XXXXL or M or......... omega + L :P

@saysikerightnow3914 4 года назад

That's actually cool.

@owl1095 4 года назад

@@ishantyadav5532 There is no XXL Roman number. X means 10 and L means 50. Placing a smaller number before a bigger number means substraction, so therefore XL means 50-10=40. XXL would mean 30 by that logic, but that slot is taken by XXX, which means 10+10+10. Note that you can't put more than 3 of the same number next to each other and make things like XXXX, that's is where XL comes in place.

@leo17921 4 года назад

@@owl1095 roman #'s are weird like how do you write 100k without writing M 100 times

@gluckmac 4 года назад

Good one!

@thomasbryant1628 7 лет назад

Why am I so obsessed with watching videos that make my brain dissolve itself

@hellothere-rr7kc 7 лет назад

because of the natural occurrence of any animal having curiosity in something that interests or sparks their mind, creating a mental 'explosion'.

@NotisSenju 7 лет назад

Because you are a human

@justclosing 7 лет назад

I like the pictures

@duck3892 7 лет назад

Notis Senju agreed

@robertdicke7249 7 лет назад

No, no, no, no, no, no, no, no.... for infinity. When I have reached the an infinite number of "No" then I will say yes to this logic.

@bradleyconway1124 11 дней назад

these vids are such great background vids even though i dont understand any of it

@sadaharu5870 Месяц назад

The video I always come back to when I think about infinity

@danielknorr357 8 лет назад

If I was a teacher I would, as punishment, have students write a summary or report about this video.

@banana-drank5835 8 лет назад

I'll just cry

@Drkrelic 8 лет назад

+Mr. Dr. Sir King Swaggins The 3rd The 5th The 2nd I would totally do that. This video was interesting af.

@Deadlyaztec27 8 лет назад

I would make them eight a memoir on how the use of literary technique in this video to show place in the context of infinity could theoretically impact their future lives. This is the literary equivalent to 0^omega|2 = 1

@stinkee2 8 лет назад

That would be a gift.

@Deluxeta 8 лет назад

+Mr. Dr. Sir King Swaggins The 3rd The 5th The 2nd If I were a punished student I'd write a transcript.

@kamidesuka 3 года назад

waiting for myself to have a son, then I will wait for my son to say “I love you times infinity” and I pull up with the “I love you times Inaccessible Cardinal”

@haroldgodwinson1531 3 года назад

lmfao

@pep2311 3 года назад

Love 100 Or love to the power infinity?

@ilovemaxwellthecat 3 года назад

If that was me,8 years old then you had to mess up

@user-sc8fq2yz5h 3 года назад

i love you times 0=1 :*

@jameliasewell1688 3 года назад

Bruh

@arottenmango8505 6 месяцев назад

This might be the coolest video on RU-vid

@stephskia 2 года назад

I’m so simple-minded that I can come back and watch old Vsauce videos and still be absolutely mind boggled as if I’m learning it for the first time

@anthonyhenriques7654 2 года назад

@eg same x2

@midwestmasocist 2 года назад

Same here 🤗

@elijahwilliams2066 2 года назад

Same

@Delicioushashbrowns 2 года назад

Makes me happy being a dummy because I know I'll never run out of vsauce content

@XYZ-cx9kw 2 года назад

Damn this video is truly crazy

@zackarhino17 8 лет назад

This video is the only video I've seen where Michael stays on topic.

@iowasucks9494 8 лет назад

Exactly

@michaelmore9120 8 лет назад

lol

@NoriMori1992 8 лет назад

+Zachary Allard It's not the only one, though. Starting at least from "The Banach-Tarski Paradox", all of his uploads have been much more on-topic than previously. They've also been longer - consistently around 20 minutes long.

@mcgarbagenuggets8793 8 лет назад

+NoriMori Excellent observations.

@NZealandese 8 лет назад

∞∞∞

@m.a.t.a.s 5 месяцев назад

Axiom = I made it the f up My source: Axiom of axioms

@user-tg8un8ms1j Месяц назад

I like your work with your new numbers 🎉❤

@Poleily 4 года назад

short answer: No long answer: Yes

@hexagon8899 4 года назад

Vsauce answer: what is answer

@ashaydwivedi420 4 года назад

Wow 😂

@meowcat7124 4 года назад

Because yes is longer than no

@QwertZero 4 года назад

well yes but acctualy no.

@ionisator1 4 года назад

@@hexagon8899 answer is maybe, or not

@jesses.3554 8 лет назад

My brain broke when he said "Hey Vsauce"

@zacchon 8 лет назад

+Chiseled Knucklez This time he didn't start the video by "when do you die?", though.

@MK7JORGE 8 лет назад

hah

@Hotrodd48 8 лет назад

My mind was blown before I even clicked the video

@abitofpaprika 8 лет назад

same

@YostPeter 8 лет назад

I had to cry in a corner 3 minutes in.

@Gordon_whyiseveryhandletaken 3 месяца назад

4:19 zoom in those numbers are actually in order idk why but it’s cool

@Vobacoach 4 месяца назад

What an super-interesting video, thanks a lot!! My comment to the last thing said in this video: Humankind had created something outside this physical universe some 2.5 thousand years ago: Euklid discovered the square root of 2. Not anywhere in our physical (!) universe is there anything, that has the physical amount of the square root of two. (and many more, of course)

@Wolfy-hu5hy 2 года назад

"I like your funny words magic man."

@amyemery6405 2 года назад

I see you too are a man of culture.

@user-kh6jf5zj6n 2 года назад

@@amyemery6405 e

@doabusephone8492 2 года назад

I am the 69 + 1th like giver. hahahaha

@_Dragonpup_ 2 года назад

Nothing bad ever happened to the Kennedys

@dutchvanderlinde7239 2 года назад

Arcade Gannon did a service helping you.

@1nf1n1tenoob8 4 года назад

Therapist: So how much stress are you dealing with. Me:

@vinnyhorapeti2461 4 года назад

Therapist.exe has stopped working

@johnnyknight77 4 года назад

@@vinnyhorapeti2461 I'm just program designed to make ha ha.. A file named "Laugh Man".

@luunna1322 4 года назад

I'm confused with the joke

@thesaroscycle_archive 4 года назад

IB Students: Pathetic.

@dylanprice1978 4 года назад

Infinity plus 1 is bigger.

@andresfriant-hm2ot 3 месяца назад

dude the end is always the best part

@Owen_loves_Butters 2 месяца назад

23:19 Similarly, ω*2 is not the same as 2*ω. (2*ω is just ω)

@LTrains999 4 года назад

How to count past infinity: *40*

@F.LAVEA76 4 года назад

@memerboi69.0 4 года назад

Rat rat 42

@waffle1916 4 года назад

GNM 42.1

@LTrains999 4 года назад

@raiz3937 4 года назад

69.69

@Lundmunchkins2000TV 3 года назад

Mathematicians: “Now... reality can be whatever I want”

@csicee 3 года назад

math is similar to meth

@packediceisthebestminecraf9007 3 года назад

@@csicee "Bro... I just saw past infinity..."

@aivo9941 3 года назад

@@csicee COINCIDENCE !? I THINK NOT !!

@user-ib1dx4dh3n 3 года назад

@@packediceisthebestminecraf9007 yeah bro it's coooool

@L9-7240 3 года назад

My goals are beyond your understandings

@tuminhthien8074 6 месяцев назад

So actually not thing bigger than infinity, just arranged differently. And to create a larger infinity we must "multiply" the two infinity together (create an infinite sequence arrangements with infinite elements in a spreadsheet format and reason that there is always an unlisted sequence arrangements). I personality don’t think we can even do that cause how can we list end less thing and arrange them end less time? Or just imagine? In fact, infinity is already INFINITE. Creating something larger than infinity is just a recognized concept that speaks to human imagination (although I think people still haven't imagined what exactly infinity is) but they still want to get over it.

@daniildekterev5821 3 месяца назад

Every time I scare myself with the grin I am having when rewatching and realising unlimited power of axioms and infinities

@lordbrain5263 6 лет назад

**opens video** “Ok ok numbers I understand this.” **a few minutes in** “I am confusion...”

@gabrieltorres6633 6 лет назад

DeathStar14 explain vsauce explain, what do you mean past infinity

@photonic083 6 лет назад

DeathStar14 is confused! DeathStar14 used Death laser! The laser turned 180° and hit DeathStar14! DeathStar14 exploded! Wat

@KingSchlopus 6 лет назад

same

@missystephenson8806 6 лет назад

So I am confusion. Why is THIS ONE **points to Kansas** called can-sas but THIS ONE **points to Arkansas** called ar-can-saw? AMERICA EXPLAIN

@somethingsomething8751 6 лет назад

Yeah in the first 3 minutes I was totally confused. And after that I thought holy f##cking sh#t I am so f##cking dumb compared to this guy.

@mrdonpuz 8 лет назад

Video starts at ∞:∞, thank me later.

@NK-xd4fu 8 лет назад

thanks.

@imaginewaymore 8 лет назад

The puns are real. lol good one

@KadonLP 8 лет назад

ω:ω you got it wrong

@FEZKONG 8 лет назад

™

@fourtwothree5422 8 лет назад

+GabeN “K.F.” Ortiz 003 Its not a pun... but okay...

@hamtonvideos 2 месяца назад

He just makes me question my existence and then says "and as always... thanks for watching"

@navilandinator4479 3 месяца назад

"What's your favorite number?" *proceeds to fully break down the quantum physics of þe universe*

@reese.6521 4 года назад

"How much do you love your homies?" Me:

@imp3864 4 года назад

Olive no

@bigjack1406 4 года назад

Bruh 🗿 bruh 🗿 bruh 🗿 bruh 🗿 thasss good one

@RetroPes 4 года назад

No homo

@assaultarumugam5387 4 года назад

That's the most gay comment I've ever seen

@samtheman123 4 года назад

vishnu pypy lol true

@Rx-ee3rt 5 лет назад

Nobody Vsauce: How to disable fall damage in real life

@lamaosama9342 5 лет назад

Lmao idot just do /gamemode 1 hahahahaha

@strikersuckysnipee8940 5 лет назад

if you jump from a 86 floor apartment you can fly thanks to the spirit of shaggy

@goundz857 5 лет назад

Caboose /gamerulefalldamage false You need cheats enabled just to let u know

@gocommitdie8653 5 лет назад

Just use creative mode smh.

@minecrafter-gameplaystopmo4193 5 лет назад

I know this isn't related but how did you get the infinity symbol.

@Shsgamerz20023 Месяц назад

Bro really said to infinity and BEYOND

@Holafishyguy5 8 дней назад

19:04 The first apperance of a *legend...*

@MrOnlineCoder 4 года назад

"Yes, we can because it's math - not science" Gold

@Guitarfollower22 8 лет назад

Not sure if his videos make me smarter or if each video makes my brain closer to exploding.

@AdilKhan-px2dj 8 лет назад

lol

@zacchon 8 лет назад

+Guitarfollower22 Those are the exact same thing.

@sam_12845 8 лет назад

Both, its the same thing

@abitofpaprika 8 лет назад

I watch these because i think "wow this will make me smarter" and then i pause half way like "what is this??!"

@utopiawithers4669 8 лет назад

xD inr

@ethanwhite1949 20 дней назад

10:40 you just wrinkled my brain man

@sonnyraine3445 5 месяцев назад

Watched this while tripping tf out, give it a try, it’ll blow your mind

@wusshygt9194 4 года назад

What they teach in class: 12*5 What they ask for exam: (This Video)

@pranabmohanty7767 4 года назад

This comment has got 40 likes

@wusshygt9194 4 года назад

@@pranabmohanty7767 wow congrats

@lovelymayapop 4 года назад

12*5 = the amount of likes on your comment

@p1ss.official 4 года назад

this is so relatable

@quack2390 4 года назад

@@lovelymayapop 60?

@madkirk7431 4 года назад

teacher: the test isn't that hard the test:

@soos4719 4 года назад

I pretend to know the answers although I actually don't

@osmarfreitas8646 4 года назад

Easier to understand than during class

@JoshuaTanzil 4 года назад

there is 666 likes!!!

@ultimate_aviator237 3 месяца назад

Please do a video on how many numbers there are between 1 and 2

@alonemulti9264 Месяц назад

at 11:45 i remembered the infinity hotel, and this was a WAYY BETTER WAY to explain it

@junncali1573 5 лет назад

"that means that an infinite amount of people finished the race... And then, YOU did." :'(

@ryan2-518 5 лет назад

Junn Cali lol

@BladeTheGabite 5 лет назад

#relatable

@landroveraddict2457 5 лет назад

But they are all winners if it's a school race :-P

@ryan2-518 5 лет назад

Land Rover Addict 😂 this is so true

@wadealexander2429 5 лет назад

me: hey mom ok ready Mom: ok son me: REEEEEEEEEEEEEEEE

@iyla3742 5 лет назад

Here's how you count higher than infinity: *Infinity one, infinity two..*

@strikersuckysnipee8940 5 лет назад

Harvard. yo want a scholarship

@emanabu2023 5 лет назад

how are you so smart

@darckap2785 5 лет назад

Infinity to the power of infinity.

@CoalBrando 5 лет назад

Infinity war... Hm i guess this is the ENDgame. *Cringes*

@tobytitanicproductions4157 5 лет назад

So true

@user-ce6ig1tv3k Месяц назад

"10-13" and "0=1" got me on the floor

@the-slim-tapes 3 месяца назад

Man this is alot too learn i need to rewatch until i find the meaning

@coldsun1 8 лет назад

rip brain

@treasurehollis8040 8 лет назад

right

@Valenspire 8 лет назад

bottom

@ANDSTONE100 8 лет назад

ambidextrous

@dylanshalala3517 8 лет назад

Every Vsauce video is RIP

@AndreaRenwick 8 лет назад

Lol

@bhudhichantawaralak7025 2 года назад

I can’t expressed in words how enlightening this video is. When this video came out 5 years ago it literally saved me when I was in a limbo with no particular interests in anything in my first year of highschool. Now I’m in my 3rd year of undergrad majoring in mathematics and it’s not an exaggeration that’s it’s all because of this video. Thank you and I hope that a lot more people will be inspired by you.

@rottish4384 2 года назад

that's really cool

@BryanNeer 2 года назад

See as reality can be whatever I want

@orbital1337 2 года назад

That's great! I was actually inspired to study mathematics by reading about things like the continuum hypothesis on wikipedia. Now I have a masters in math from a great university and I'm on my way to a PhD in theoretical computer science. :)

@ametrime4754 2 года назад

@@orbital1337 nicee

@lunakitty953 2 года назад

That's amazing! I just watched this today and wow it's really made me think. The fact he made it so easy to understand, it made me really think about this universe we live in. Or do we? 😝