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

[@Vsauce]

listen to what I say at exactly 0:40

[@jackparry7719]

K

[@Fundi007]

+Vsauce mind = blown

[@tcorrea2367]

K

[@connorf8638]

Ok

[@marcusbui235]

Ignt

[@ItzKernel]

-So can we count to Infinity? -ℵₒ

[@ItzKernel]

@Una Kovacevic idk xd

[@ChickentNug]

What?

[@therainbowwillow4453]

😂😂😂

[@viperstriker2357]

§4

[@MrEnhancedGenetics]

Omega + Aleph null = ?

[@AlvaroManiac1]

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]

Least genius vsauce moment:

[@ShwappaJ]

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

[@POLARTTYRTM]

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

[@sabhiyakhan9899]

The sound ❤ what he is talking about 💀

[@Davsennn]

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

[@RedNumber19]

It stops at 40 cause it’s the biggest

[@mjthebest7294]

LMFAOO

[@RaniaAbdoelaziz]

But what about 41 42 or 43 44 ?😊

[@frensaileenasahid9780]

1:67

[@IdkmynamepIzhelp]

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

[@NoobHashtagPLS]

9 year old me: *Infinity plus one.*

[@BMXSymmetry]

Smart alek

[@andrewzhang8512]

@@BMXSymmetry *aleph

[@BMXSymmetry]

Andrew Zhang oof idk how to spell that word thx

[@andrewzhang8512]

@@BMXSymmetry It was a joke, m8

[@Alexander_Jaelan_Cummings]

IKR

[@brualdasil2]

"Mom, Vsauce glitched my brain again!"

[@MrConnectionError]

L

[@aerocap]

Lol

[@allmightylancerd5253]

My brain blew up

[@panterytexxx1]

and my raind turned into poop and pooped

[@zarovv5589]

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

[@Awais....]

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

[@SnakeArtsOfficials]

2017.....

[@alexsummers691]

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

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

[@tr4inwr3ck.d]

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

[@liam78587]

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]

So true!

[@jacobwiren8142]

"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]

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]

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

[@ar4ow372]

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

[@ansems3309]

22 year old me: *_infinity and two_* ?

[@D4rkker.]

10 year old me: *infinty and infinity*

[@Sharkee-us9kp]

80 year old me *omega + omega*

[@lolnotwoody1]

Infinity x infinity

[@asfadanny]

0÷0

[@jesses.3554]

My brain broke when he said "Hey Vsauce"

[@zacchon]

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

[@MK7JORGE]

hah

[@Hotrodd48]

My mind was blown before I even clicked the video

[@abitofpaprika]

same

[@YostPeter]

I had to cry in a corner 3 minutes in.

[@rory704]

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-]

He's Omega

[@liam78587]

@@-SPACEBOY- cleverrrrrrrrrrrrrrrrr

[@toyfreddygaming]

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]

He's ω+69 years ahead of all of us

[@vogelvogeltje]

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

[@treecko7424]

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]

Unsolvable? That's annoying

[@irenejavelosa2945]

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

[@Chasta1n42]

Lol same

[@jacobbishop8067]

Well, thank god that it wasn’t hurt literally

[@irenejavelosa2945]

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

[@Heyejen]

Ha

[@hi-wu7ju]

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

[@ScientiaFilms]

ah finally a way to measure your mom's weight

[@chay1194]

+TheOsva75 fat

[@RealLeel]

W

[@tortellinideal4046]

Look who's talking

[@QuellastranapartediYoutube]

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

[@obesedog23]

W

[@GalaxyToons]

“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]

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

[@kzeriar25]

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

[@natalielewis5369]

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]

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

[@jacobwiren8142]

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.

[@Logicalpsycho2323]

Nobody: Vsauce: How to taste the color 7.

[@XenoghostTV]

MMMMM TASTY

[@madkirk7431]

*_BANANA SUNDAE_* mr.beast reference

[@1Squidd]

I'm guessing strawberry

[@katakana1]

It tastes like synesthesia..

[@ganaraminukshuk0]

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

[@dam7196]

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

[@dam7196]

+dam7196 i'm pissed again

[@dam7196]

+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]

+dam7196 lol

[@johntitor1619]

+dam7196 welcome to Vsauce.

[@heners3423]

+dam7196 same

[@ZRex92]

Ima make my own inaccesible ordinal and call it “this is the last inaccesible ordinal stfu and live with it”

[@MikeRosoftJH]

Sure. ZFC + "there exists an inaccessible cardinal" is consistent, if and only if ZFC + "there exists exactly one inaccessible cardinal" is consistent. (However, some large cardinal axioms imply that there exists a proper class of inaccessible cardinals, and that's equivalent to the assumption that there isn't a maximum inaccessible cardinal. But if you have a model with a proper class of inaccessible cardinals, you can produce a model of set theory with a maximum inaccessible cardinal, by cutting it at some appropriate place in the von Neumann hierarchy.)

[@SARTHAK-xc9dk]

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*

[@Guitarfollower22]

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

[@AdilKhan-px2dj]

lol

[@zacchon]

+Guitarfollower22 Those are the exact same thing.

[@sam_12845]

Both, its the same thing

[@abitofpaprika]

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

[@utopiawithers4669]

xD inr

[@marcogarciamedina8933]

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

[@fjukinorge6278]

fat

[@aspebb]

So very true.

[@insaincaldo]

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

[@filipmajewski8382]

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

[@doktawhawee9870]

+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!

[@skitthebagel]

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

[@Torontodude20000]

Talk to Chuck Norris. He counted to infinity twice before his first birthday.

[@basedkhajiit]

Chuck Norris can also pick limes from a lemon tree and make the best orange juice you've ever tasted.

[@lukescott6123]

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

[@JundaMusic]

Bruh

[@noxcaelo4902]

bruh

[@Kelly-gn7xb]

+luke scott bruh

[@yuya6530]

+Kelly O u ruined it

[@Kelly-gn7xb]

Yuya Fujisawa Perhaps

[@thomasbryant1628]

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

[@hellothere-rr7kc]

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

[@NotisSenju]

Because you are a human

[@justclosing]

I like the pictures

[@duck3892]

Notis Senju agreed

[@robertdicke7249]

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.

[@lubomirkubasdQw4w9WgXcQ]

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

[@tabbairl]

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.

[@BhanuPChauhan]

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

[@GabeAF]

W

[@Lolcontract]

I see what you did there

[@alfae7771]

ayyy

[@zymbia]

+The TropicDolphin K Q wat

[@propper-g7725]

like a neverending argument

[@andreasalucci8603]

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.

[@TheNapoleon82]

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

[@memzlord8600]

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

[@Coiote_23]

XD

[@vibolstation3321]

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

[@rioritariorita]

Trash the PC!

[@MrCubFan415]

memz lord (vsauce music plays)

[@user-nh5wj6en5j]

memz lord lol

[@vvvss-cx1vd]

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

[@bluthemeth]

lmfao

[@sangitarajpatel3960]

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

[@jumpyyjasminee5315]

Whats......infinity - 1

[@canadaman3191]

@@jumpyyjasminee5315 Aleph -1

[@jumpyyjasminee5315]

@X3DwAnY - ive always been vonfused mah man

[@Shsgamerz20023]

Bro really said to infinity and BEYOND

[@Shparky]

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

[@danielknorr357]

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

[@banana-drank5835]

I'll just cry

[@Drkrelic]

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

[@Deadlyaztec27]

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]

That would be a gift.

[@Deluxeta]

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

[@meestyouyouestme3753]

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

[@joggie.]

I love you first letter of the hebrew alphabet 0

[@locvide898]

Underrated comment

[@kreckdem_7340]

I dont find aluf nol in my keyboard

[@datonerussiandood]

then love them to infinity and beyond

[@cinnamonrolls7234]

@@kreckdem_7340 aleph null

[@navilandinator4479]

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

[@Lucid_Kitty]

I think the universe is audacious enough that it does contain the infinities described by math

[@we-must-live]

an audacious universe! a grand and intoxicating universe!

[@wolfemooney7188]

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

[@galaxypl7756]

42: *growling*

[@Radithor]

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

[@crooser64]

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

[@andymackiewicz7299]

*Octillion:* aaghh stoop

[@justasec5894]

42 : am i a joke to you

[@levithe2nd]

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

[@kid_toucher]

Hurb

[@ihavenoname1136]

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

[@tricky6476]

Cristina anduru that was my speech of spelling bruh backwards

[@warrenlamont8233]

Inf

[@kid_toucher]

@@warrenlamont8233 v

[@mr.voidroy6869]

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]

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

[@noctifersangportum5536]

My brain hurts

[@DanielGonzalezL]

"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]

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

[@bernardcernea6792]

not as fast as TREE(3)

[@Scarlet_goose]

Daniel Gonzalez do not

[@Scarlet_goose]

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]

Tanroop Singh Hey, how's the schizophrenia going?

[@smeerkaasfabrikant6721]

Person: what is your IQ? Me: θ

[@ivantmv80]

+G-Town Crew (GTC) i will respond to you so i can copy that swastika later on my computer ( i am now on phone )

[@jpphoton]

He said person.

[@IzichiUchiha]

Ł

[@simplecliche5833]

smeerkaas fabrikant don't you mean 1 😏

[@lolickypeepee23xdd6]

theta?

[@calypso0523]

3:34 that drop hits HARD

[@Eatingsundew499]

I love how the the numbers past inaccessible are like “indescribable” and “super huge” and then we end up with “0=1” 😂

[@jchung0510]

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

[@technoultimategaming2999]

Specifically a calculation error

[@scotty71273]

That’s true

[@MoonPenguinGod]

LOLOLOL FACTS

[@Gary_67]

U can ask yourself sshh yishsyhsbsyusyhsybbbsbsybsybsysnnsuhsnuhs and it will say error

[@marwasleek2697]

No it 0

[@zeuxis9169]

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

[@thatdboyy74]

lol 😂

[@contender5]

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

[@sophiegraham6174]

Infinity+infinity b*tch

[@caydenm1989]

DOUBLE INFINITY HAS ENTERED THE CHAT

[@ladolancea.garcia5569]

Infinity×Infinity×Infinity

[@sadaharu5870]

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

[@who502]

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

[@speeder.x9983]

“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]

@@speeder.x9983 true

[@GoldDukes]

@@speeder.x9983 ummm okay XD

[@thomasgarcia8118]

🙏🏽

[@Qaptyl]

infinitist

[@brandonbuchner1771]

Ohhhh...so THAT'S why Omega-3 is so good for your brain...

[@karolakkolo123]

+Brandon Buchner xD

[@sricharan679]

lol

[@tuxedo_productions]

xD

[@naheelazawy]

+Brandon Buchner Dear sir, Thank you for making me lol

[@philandthai]

+Naheel Azawy Yes, thanks Brandon. That is very witty.

[@m.a.t.a.s]

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

[@XaiverXD]

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

[@Poleily]

short answer: No long answer: Yes

[@hexagon8899]

Vsauce answer: what is answer

[@ashaydwivedi420]

Wow 😂

[@meowcat7124]

Because yes is longer than no

[@QwertZero]

well yes but acctualy no.

[@ionisator1]

@@hexagon8899 answer is maybe, or not

[@landon6797]

The highest number is 420

[@thetruetruth77]

Hahaha 👍🍁 stoners everywhere 😂

[@CombatMagic]

+Landon Kays this could be true, because 421 is bigger, not higher...

[@mindbreak666]

Blaze it muh ninja.

[@m7mdKSA111111]

421

[@Norsketrutt]

+m7mdKSA111111 421 is bigger, but not "higher" :P

[@user-fr9vh5xc8s]

Vsauce- smartest, most handsome, coolest, coldest being alive. *Proceeds to show 0 as a natural number.

[@ManosSef]

It is.

[@ethanwhite1949]

10:40 you just wrinkled my brain man

[@donenod9991]

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

[@ishantyadav5532]

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

[@saysikerightnow3914]

That's actually cool.

[@owl1095]

@@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]

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

[@gluckmac]

Good one!

[@Khanaltai]

When you look away for 1 second in class:

[@NautsuJJR]

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]

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

[@JqAnimateshello]

LMAOOOOOOO THIS IS UNDERRATED

[@MintylLilGuy]

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

[@riymeep6708]

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

[@Denialisaheathen]

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.

[@stevesybesma]

The recursive nature of a compressed and uncompressed infinity...viewing two well-known infinities from inside and out. Version 1 revision 1 - 25th of October, 2023 This simplifies and supersedes a previous document named "An alternative way to visualize infinity". ====================================================================================================================== 1.Take what are considered two different and well-known infinities: a. the one that exists between zero and one consisting of uncountable infinitesimal points b. the one that exists from zero onward consisting of uncountable integers With "a", infinity is enclosed by limits at both ends, yet somehow through Cantor's 'parlor trick' it's said to be a larger infinity than "b". Cantor's proof attempted to show that "a" is larger but I say his logic is flawed because it did much more to obfuscate reality than showing it and his was not a head-on approach to reality but a misleading sidestep. It is that because infinity if not carefully dealt with defies normal arithmetic and easily leads to errant conclusions. I intend to disprove Cantor and show both infinities memberships are absolutely equal through a much 'purer' method that treats both types of infinities in the same manner by declaring they are two opposing views of the same infinity. 2.Basic properties of the two infinities: a. consider 1a shows an infinity that has two 'ends', zero and one and that the smallest value above zero can never be determined using the normal convention; this is what I consider a 'compressed' view, typical of this form of infinity. b. consider 1b shows an infinity that has only one 'end' and that the largest member below infinity can never be determined using the normal convention; this is what I consider an 'expanded' view, typical of this form of infinity. Now, what happens if you allow the thought experiment to expand the first and compress the second, thereby flipping their views? 3.The resulting observation: a. When 2a is viewed from the 'inside' (expanded view), you can distinguish members you could not before. What was '1' now resembles another type of infinity. You can see the first member after zero (before '1'); logically it has to be a number ending with '1' with infinite preceding zeros after the decimal; this by the way is also how the normal integer number line looks, just remove the decimal point. Adjacent members can be plotted; before adjacent members could not be plotted. The number line looks like the integers starting with zero (just remove decimals and leading zeroes). b. When 2b is viewed from the 'outside' (compressed view), you cannot distinguish members you could before. What was infinity resembles another type of '1'. You cannot see the first member after zero (except infinity); all numbers you can name are virtually at the same location as zero. Adjacent members cannot be plotted; before adjacent members could be plotted. The number line looks like the integers zero and '1', any 'fraction' of infinity between behaves like and must be written out like a decimal number between zero and '1'; I suggest creating a new character called a 'super-decimal' to represent such values which looks like a decimal point except that it's at the top of the character block instead of the bottom; its use is to represent a fraction of infinity the same way a decimal is used to represent a fraction of an integer. We say infinity is not a number...in a sense (only because of how we view it) that's absolutely true, but it can look like an integer if the view of the number line is compressed. That integer would be '1'. More accurately using the new character I suggested above, it would look like 1.0 with the decimal moved to the top of the character block (the super-decimal). This new convention would make possible calculations involving a whole or a part of infinity. Notice the two infinities are recursive (the infinitesimally smaller infinity is nested within the larger infinity and is nothing more or less than an enclosed miniaturization). The views of each are essentially a perfect opposite of the other. When both are flipped, the smaller looks virtually like the larger and the larger looks virtually like the smaller. Any differences are cosmetic (decimal vs. no decimal). When you observed 3a and 3b after performing the thought experiment properly, you will see clearly HOW it is possible that the two infinities have the same exact set membership (the size of the sets are absolutely perfectly equal). What is true about both sets yet does not affect my explanation showing how the members are absolutely equal: a.Members are not truly name-able numbers if they must be written out using INFINITE digits; this is true even of decimal numbers in the sense the values reaching the lowest significant digit cannot be reached, and hence named; yes that means irrational and transcendental numbers are not truly name-able numbers, but that does not mean they are not USABLE numbers because we can write out the most significant digits; the compressed view we normally use for decimal numbers allows for that and would not work if the expanded view were used because you would be forced to start writing out the number with the lowest significant digit and could never reach the highest significant digit b.members are name-able numbers if they can be written out using finite digits (This is true regardless if you're talking about membership in either set; infinite digits define un-nameability) Important note on aspect I noticed which can easily be dealt with if you consider the two different views of the number line: The decimal numbers begin naming their 'places' with the most significant digit, making the least significant possible digit un-nameable The integers begin naming their 'places' with the least significant digit, making the most significant possible digit un-nameable (When the views are flipped, it becomes possible to do what was not possible before, and vice versa; the plotting of infinitesimals after zero becomes possible and starts with "1 infinitesimal, 2 infinitesimal, etc... which are now all VISIBLE since the number line was EXPANDED; it now becomes impossible to plot integers because they are INVISIBLE since the number line was COMPRESSED, yet you still know because of our BIAS/TRAINING toward the normal convention that the now invisible integers after zero start with '1, 2, etc...all these integer 'points' exist the same way infinitesimals exist but it is the EXPANDED or COMPRESSED view that determine visibility. It is only our bias/training toward conventional reality that causes whatever is not visible to appear not to exist.) Exploring deeper into why the sets are absolutely, perfectly equal: The expansion of the members between zero and '1' makes it possible to do a 1:1 match to the members between zero and infinity because the memberships both resemble integers starting from zero toward infinity ('1' being a 'type' of infinity) The compression of the members between zero and infinity makes it possible to do a 1:1 match of the members between zero and '1' because the memberships both resemble decimal values between zero and '1' (infinity being a 'type' of '1' Note that there is a 'type' similarity of '1' to infinity as they both represent a 'whole' of something; '1' represents a 'whole' of all the possible decimal values leading up to itself; infinity represents a 'whole' of all the possible integer values leading up to itself; in that sense they are two ways of describing the same concept

[@youregonnaletityeetyouaway2882]

translation: what cantor proved feels counterintuitive to me so rather than trying to understand it i'll assume he was wrong and i'm smarter than him and also almost all mathematicians that came after him. 1. this is not a proof, it's a bunch of wishy washy analogies. 2. what do you say to this thought experiment? say i'm standing inside your "view from the inside" of the real numbers between 0 and 1, and i pick a specific number to stand on and look at the number to my left. say you're standing on some positive integer and look at the number to your left. i can easily think of a number in between my number and the number to my left, while you can never think of another integer in between you and the number to your left. how do you reconcile this difference? how can the two sets be equivalent? 3. you stated at the start that the natural numbers are uncountable. this is not true.

[@stevesybesma]

@@youregonnaletityeetyouaway2882 you're misrepresenting what I said...the integers are uncountable in the sense you cannot count them all...same for the real numbers between 0 and 1...you're not picturing the same view as I am...I've spent years thinking about this and discovered why the real number members between 0 and 1 have precisely the same membership as the integers between 0 and (1)infinity...1 is a form of a whole and so is infinity...they are recursively related...our natural human bias/orientation to the number line has to be inverted to see this properly, hence being 'inside' the smaller and 'outside' the larger...once you do that, this makes perfect sense and it does not fail to stand up to scrutiny...if I met you in person with a blackboard, I'm certain I could make it visible to you...the hint to the set between 0 and 1 is that they by definition are indivisible points when viewed from the inside...the hint to the set between 0 and (1)infinity is that they behave the same as the set between 0 and 1 when viewed from the outside...these two ideas enable you to see why this works perfectly

[@zackarhino17]

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

[@iowasucks9494]

Exactly

[@michaelmore9120]

lol

[@NoriMori1992]

+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]

+NoriMori Excellent observations.

[@NZealandese]

∞∞∞

[@massaruby9358]

Great vid. See you next year.

[@spaceguy2213]

lmao

[@JuLes-sz3wi]

Lol

[@drop5054]

My next Christmas present is a sauce video

[@chimpalahee]

W

[@Oyeboy-vr8ke]

+chimpalahee i dont get the joke

[@charlieborchardt2066]

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.

[@poorman-1168]

one comment argued they had a heart attack when he said 40 but you just know that it’s meant to happen every video

[@HyperionStudios]

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

[@HVLLOWS1999]

You noticed that too!

[@DembaiVT]

It makes sense though!

[@haniyasu8236]

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]

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]

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

[@wusshygt9194]

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

[@pranabmohanty7767]

This comment has got 40 likes

[@wusshygt9194]

@@pranabmohanty7767 wow congrats

[@lovelymayapop]

12*5 = the amount of likes on your comment

[@p1ss.official]

this is so relatable

[@quack2390]

@@lovelymayapop 60?

[@user-ce6ig1tv3k]

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

[@daniildekterev5821]

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

[@datonecaleb860]

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]

why do you talk to a screen

[@mistajaeger742]

why ask

[@radrayj4933]

omega looks like a butt or upsidedown 3

[@goldenrobobutt9907]

Me an intellectual: Infinity to the power of infinity

[@VanesaRampe]

ⁿ⁰

[@Rx-ee3rt]

Nobody Vsauce: How to disable fall damage in real life

[@lamaosama9342]

Lmao idot just do /gamemode 1 hahahahaha

[@strikersuckysnipee8940]

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

[@goundz857]

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

[@gocommitdie8653]

Just use creative mode smh.

[@minecrafter-gameplaystopmo4193]

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

[@Haxihoovis]

It's nice how if we don't like something in math, we can just say "Nope!" and bam, it doesn't happen anymore.

[@LTrains999]

How to count past infinity: *40*

[@F.LAVEA76]

41

[@memerboi69.0]

Rat rat 42

[@waffle1916]

GNM 42.1

[@LTrains999]

43

[@raiz3937]

69.69

[@averagejoe7472]

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

[@imleilani1314]

ahahahhahha

[@arandomelf3050]

Lol so true

[@sarahclaire6403]

True

[@d0r1t0d4v3]

same

[@malakal-zubaidi9177]

Thats me-

[@Octaman3000]

I understood everything, but my mind is still broken.

[@tuminhthien8074]

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.

[@D_1_O]

Among Us youtubers when they're trying to figure out what number to put before IQ in the title be like:

[@user-yo7br5wb2z]

Sir, your comment is underrated.

[@D_1_O]

@@user-yo7br5wb2z I thank you, good fellow.

[@alexplays6582]

True haha

[@prod.bugsnax3166]

aleph null iq plays 😳

[@totallyuselesslimitlxssalt6646]

@@prod.bugsnax3166 ℵₒ + 1 iq plays

[@andreivezeteu6077]

Dad:From a scale of 1 to 10, how hard did your brother hit you? My brother:

[@shivangi320]

They be like that

[@RandomGoldieStuff]

ℵₒ

[@ImranAli619.]

This comment made my day

[@ambermoon1341]

lol

[@matyasdvorak3276]

How am i Going chat that no '-'

[@Owen_loves_Butters]

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

[@caspermadlener4191]

Ordinals *do* appear in a natural way, since they are basically the hierarchy of deepness. For example, you can think about a table. Well, now you are thinking about thinking about a table. Are you now thinking about thinking about a table? No. You are thinking about how this could go on. This thought has a depth of ω. But it is really fundamental to mathematics when you consider that mathematical is build from itself, you can order the assumptions. Getting infinite ordinals is equivalent with using induction in a proof.

[@d-star491]

This guy gets it. This defines all recursive ordinals directly and then all ordinals thereafter, if you just accepts a few hypercomputational operations as axioms.

[@Lundmunchkins2000TV]

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

[@csicee]

math is similar to meth

[@packediceisthebestminecraf9007]

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

[@aivo9941]

@@csicee COINCIDENCE !? I THINK NOT !!

[@user-ib1dx4dh3n]

@@packediceisthebestminecraf9007 yeah bro it's coooool

[@L9-7240]

My goals are beyond your understandings

[@kamidesuka]

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]

lmfao

[@pep2311]

Love 100 Or love to the power infinity?

[@ilovemaxwellthecat]

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

[@user-sc8fq2yz5h]

i love you times 0=1 :*

[@jameliasewell1688]

Bruh

[@abhinavsaiparsi1595]

Bro casually taught all of discrete mathematics in a 20 minute video

[@Sean-of9rs]

It has been proven that it is completely impossible in standard set theory (ZFC) to prove the continuum hypothesis even with large cardinal axioms, but it may be provable in other set theories. If we were to find a proof of the continuum hypothesis (in ZFC), we would have proven that our usual set theory itself gives us contradictions. That is bad news, so let's hope we don't!

[@MikeRosoftJH]

Sure, for example continuum hypothesis (and other propositions, like the axiom of choice and generalized continuum hypothesis) can be proven in the following theory: ZF + axiom of constructivity.

[@misteraskman3668]

I never expected to see an update on this subject. I screamed when I read your comment. Awesome.

[@holzmaurer1319]

@@MikeRosoftJH It's called the Axiom of Constructibility, known as "V=L" (Gödel around 1940). Unfortunately this axiom is widely considered false: V=L fails somewhere around the existence of 0# (21:00). As set theorists consider the mathematical universe to not suddenly stop but to contain arbitrarily large sets (as long as they are not contradictory), V=L must be wrong. In fact only countably many reals are constructible.

[@1nf1n1tenoob8]

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

[@vinnyhorapeti2461]

Therapist.exe has stopped working

[@johnnyknight77]

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

[@luunna1322]

I'm confused with the joke

[@thesaroscycle_archive]

IB Students: Pathetic.

[@dylanprice1978]

Infinity plus 1 is bigger.

[@settheray2jerry1]

i am supposed to be doing math homework but i think this is a much better use of my time

[@selimhassairi]

Exactly

[@marcodiaz6124]

I'm Supposed to be Doing Math but this one video Keeps confusing my Ass

[@landynstella5977]

Beastboy11x is it the mathmakingmefeelsmall27

[@oscarpittman640]

Astro Fury you tried

[@milky_crunch3835]

same but i know am on a break but my teach wants me to finish a maths sheet (idk why?)

[@Jayshiver]

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

[@jeremyevans710]

There arent bigger or smaller "infinities" there are numbers and infinity. Infinity is the never ending process itself there's no label

[@AndresFirte]

Then you’re probably not using the word “infinity” as it is used in mathematics (particularly set theory). In math there are different sizes of infinity, as the video shows. If you have any questions about how that conclusion is reached then I’ll try to answer the questions, but it is a *fact* that in math there are different sizes of infinity

[@WiiSPMusic]

Nobody : Vsauce : What if food ate us?

[@user-pj7yw1sb6d]

Pineapple does that

[@khoatrinhang3725]

Then we are just foods that being eaten by food

[@aspiringcloudexpert5127]

Is that an ATLA reference?

[@lightvoid7089]

in soviet russia, food eat you

[@tochoXK3]

@@aspiringcloudexpert5127 I'm curious, about which ATLA scene are you thinking?

[@gamevader]

my world was blown when michael introduced the number 41

[@user-px7kx2gp1b]

Beanymines the answer is 42

[@user-px7kx2gp1b]

Scrubinator 9000.1 You didnt get the reference

[@speedyjohndeere2714]

same

[@verapregogrilo]

WHY? Please tell me... Why? 12M subscribers... Gents, have some respect, please! This creature is a genius among his kind. Why Im still on this dimension Mr Vcounter?... I totally lost faith in mankind after this one... Beanymines, Pay Attettion, he said 42... Falcao is right... lol

[@ultimaxkom8728]

But there's something funnier than 41... *42*

[@RB_Universe_TV]

Wait.... what about.. Replace the "0" in "aplph null" with another "alaph null" and continue the process for a 'alaph null' times

[@farrankhawaja9856]

yep, that exists. Its the first number to satisfy x = omega_x

[@rocketpower4127]

N0 would be easy to count pass because every number would include negative numbers so it would cancel it out and make it 0

[@Wolfy-hu5hy]

"I like your funny words magic man."

[@amyemery6405]

I see you too are a man of culture.

[@user-kh6jf5zj6n]

@@amyemery6405 e

[@doabusephone8492]

I am the 69 + 1th like giver. hahahaha

[@_Dragonpup_]

Nothing bad ever happened to the Kennedys

[@dutchvanderlinde7239]

Arcade Gannon did a service helping you.

[@samjuli6393]

Omega+1 isn't bigger than Omega, it just comes after Omega. This was when my brain really broke.

[@curiouslad6390]

-2 comes after -1 (counting from Zero) *but that doesn't make -2 bigger than -1*

[@reddddy]

Omega Flowey

[@curiouslad6390]

@@MrAnthonyMarchal Start counting in ascending order from -∞ to -1 *All the best*

[@Vulpilux]

Well, if you think about the bananas... it does make sense... I think. These bananas are all equal in form, shape, size and color but they're still different bananas but ordered.

[@noobium5333]

@Gavin DeYager ew ur not supposed to use grammar like that in youtube comment sections

[@hamtonvideos]

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

[@SacsachCCABP]

0:23 I beg to differ, Chile is a giant number 1

[@michamikoajczak9070]

"there's always a bigger fish"

[@NetheriteMiner]

Ah yes, good old Qui Gon

[@Jacob-zk1jy]

AND THE BIGGEST FISH *IS ME*

[@speforarexiztmi9736]

Good quote.

[@andsalomoni]

"Little fish, big fish, swimming in the water..."

[@howardty2733]

111511116614inches 1415feet 18151541411415815195526288258627285251614151551851711415144 miles

[@david_dennen]

My 5-year-old son's review: "Omega looks like a butt."

[@stixoimatizontas]

Fun fact: In the Greek alphabet there is Οο (called omikron and means little o ) and Ωω (called omega and means large o ). The names were given to the characters probably because of their stress duration. Omega used to be stressed for longer than omikron, thus their stress mark was different too.

[@davixolino2130]

○♡●{♤|《♤□♡♢}~[⊙》▪▪

[@davixolino2130]

》•♢●♡♡●♤♤●}[]}|♡•《⊙⊙☆▪●{~{\●《□《°°●

[@squarohedron0664]

@@davixolino2130 《▪︎■°⊙•◇♤¤●⊙♡》

[@king_noah_2692]

I was 11 when this first came out and I said the same thing.

[@valentinomedina3340]

Sukuna: ooh this is good for my plans