Taming Infinity

[harryh111111]

Infinity = -1

Your maths seems okay but then again I'm not a mathematician. Please, are you right? Who do I believe!? Are the other sources (mathematical proofs etc) that use this 2^n = -1?

It's confusing the shit out of me.

[EliteGamerXX]

Dude, your math is still off. Infinty doesn't eqaul -1.



[MiniT31]

hmmm...all i got from the video is that i can tame an infinite amount of sheep. You should become a counselor.

[supergsx]

You're still wrong about the math, bro.

[Theonegamefreak]

What.. I learned nothing.

[InfraStricture]

I was trying to explain to my friend that you can divide by zero it just equals infinity and he got realy confused and walked away

[dymaseran]

@InfraStricture Sure. But you happen to be using different definitions of 'zero', 'divide', and 'infinity' than the rest of us, because that's not true in the ring of real numbers.

[MWSJoey]

@InfraStricture Dividing by zero does not equal infinity. Functions are still undefined at zero but the limit as the function approaches zero is infinite. Notice that with the limit you never attain zero, you just approximate it by a infinitely small number.

[projectbaum]

@InfraStricture

It's a fun way to screw with the laws of math and trick people that aren't so good at math, but it really is just that: a trick. As MWSJoey said, zero is never achieved but rather approximated. As a proof, you could divide any real number by zero, say five. We'd claim that 5/0 = infinity, but in order for that to be true, infinity times zero would have to equal five.

[harryh111111]

@InfraStricture That's because you confused him by talking shit at his face.

[TheBlinkyImp]

The sum of 2^n as n->infinity does equal -1, if you're adding it up in a signed int with n bits. Buuuut, you're not claiming that are you?

None of the things you say in this video actually discuss your summation claim. This is a serious waste of youtube bandwidth.

[alan2here]

Don't all thease sort of things reguarding the -1 problem above come down to some semi or undefined value being used as if it's more defined somewhere in the calculation. For example how n * 0 * ∞ ≠ n?

[ZFQFMB]

So basically your method for summing the series is not a totally regular method (That is, math cheating.) whereas a nice, honest, totally regular method will result in infinity every time.

You physicists are cheats!

[masonnf1]

Hey guys, you said I was wrong about something. Bullshit Bullshit Bullshit math Bullshit. That's why I'm right.

[harryh111111]

@masonnf1 Nice! You call anything you don't understand "Bullshit"! Why didn't I think of that? And it works for anything, this is amazing!!!

[TheDominiusTWD]

the real issue that i see is that for the negatives you are stopping 1 function earlier than the positive to align the sequence of 2, 4, 8, 16. so really what appears to be happening is the positive infinity stops at infinity but negative infinity stops at negative infinity and one more.

[Disneywomen101]

who saw pac man at 0:16

[pkeropl0x]

I think this is just a Crayola marker commercial.

[65macky]

you are extremely freakin smart, man.

[MultiPredy]

@urcorrect your adding an infite amount of numbers to your sum but this doesent make it infinity just like infinity is not a number

[buhoman3]

PLUS... the series 2^n is divergent... maybe (2x)^n, where x is between -.5 and +.5... like at 0:35, either that or I'm missing out on somethings... or your full of it -.-

[buhoman3]

Are 1,640 people seeing something I'm not? Please explain...

[mgx3141]

Agree that this doesn't fix anything. You can't just claim that a infinit series is finit without any context and then explain later that there is some kind of appliance for this (very vaguely). Sure, I believe that there is, but you should know that the first video without that context is completely senseless. So math jail it is, I guess.

[gfather1259]

uuummm i dont get it....... arrow to the nee

[AlcoholicJizzSpitter]

0:19 Pac man :)

[mrbbbt8]

0:19 pacman

[elementalruler1]

If you don't understand this, you have two options: read some text books and study until you reach an understanding, or don't study anything that has to do with it. Don't expect some videos on youtube to give you an understanding. An understanding is something you have to earn.

[Deathray75]

Im sorry but this is crap your last video about infinity is not explained or fixed by this one. So in reality the answers not -1 2n-1 it is byotch

[cullenster4]

you remind me a lot of XKCD

[511mev]

I see what you did, and I have tried to explore other sources in order to understand why or how it is allowed, but I do not have enough maths training to understand the explanations. Can you recommend sources for good and understandable explanations? Or perhaps produce a spinoff? In fact, spinoffs of the most controversial videos would be a great next step.

BTW I love your approach for spreading physics joy—keep it up!

[MeshachBlue]

@511mev He does recommend a resource in his video:

Go to Google Books and type:

gh hardy divergent series

About page six you'll have some similar stuff.

Otherwise search 1 - 2 + 3 - 4 into wiki...

[mac5565]

Pacman has given up eating those tic-tacs and has switched to cheese.

[Tomwithnonumbers]

This doesn't say anything at all?

[Dayve89]

No no no. If it was equal to -1 it would be convergent. That series is divergent DI VER GENT

[ohsosso]

it's just lots of talk no explanation.....

[TheBradbuzan]

Infinity is not equal to -1.

[xaiber16]

just divide it with 0 and it will do the rest.

[MrLaz0rz]

wat

[redcups21]

0:15 wakka wakka

[albatross0210]

You realise a divergent series, by definition, adds to infinity. NOT -1.

[4444jonn]

Can you just explain how 1+2+4+8....=-1 because this video didn't

[iamQuiliamQuil]

@4444jonn watch the "Counting to Infinity" video.

[MrJooog]

Jesus had -1 fish and 2 breadloafs.

[Sadavi5]

I always love these videos. They're informative yet digestable. Question I've been wondering; How do you get that 'signature' picture under your video title/next to Subscribe button instead of your username? Is there, like... a Subscriber Allowance limit for such a thing or am I just missing a feature?

[FlightRecorder1]

So when I go 'To Infinity and Beyond!' What happens then?

[Sadavi5]

@FlightRecorder1 There's a video he made about that already, actually. It's in a blue box at the end of the video.

[FlightRecorder1]

@Sadavi5 I have seen that video. I was just making a Buzz Lightyear joke...

[jero528]

You are saying you cannot put a formula on infinity.

[ooRELIKoo]

lol, what is it with that sheep? its always in at least a vid or two

[th4n4t0s25]

how come the sum of infinite numbers all being positive gives you a negative number?

that's messed up... and they're all even squared! that's ultra-positive.

Oh man, I thought I knew math.



[Ragensu64]

i don't get it...

[ImUsingDaForce]

every time i watch one of your videos, i hope ill learn something, but i just get even more confused...but i like em aniways!!!

[severuxtrololo]

what the fuck

[tboneynot]

What these arguments demonstrate to me is the clear need for documenting citations and assumptions... which these videos woefully lack, albeit by design. If the creator would have stated initially the boundaries by which his math is accurate, that might have helped. Might since this is the Internet we're talking about here.

[X7MANX59]

your sheep® reminds me of RealPlayer

[jasonroxorz]

@soulsabre655 yeah his logic in that last problem is faulty... It was actually a really silly mistake. There are convergent series that range from n=0 to infinity, and if he had shown that I get the feeling you would all argue still.

Wolfram Alpha has spoken!!!

[vettefan73]

so infinity = -1?

[ODSTblindside]

0:15 Pac-man is the answer they can't find.

[xxAsteriskxx]

Ah, I love kicking back, popping open a bottle of Cristal, and watching a minutephysics video. Even if its only for a minute.

[cloffff]

I love how much this is apparently pissing people off. :] A great troll.

People, this is experimentally proven stuff. In fact it (renormalized quantum field theory) is the most precisely verified science in history. Physics and math are just that maddeningly weird.

[akaihana18]

fake science, LOL fake logic. LOL fake math. LOL

[GamerEnterprise]

@akaihana18 and you know it because....?

[sowbelIy]

your sheep are the best

[theFloxie]

@sowbelIy Rocket sheep! :D

[urcorrect]

To me, this doesn't fix the other video, or justify calling infinity -1.

[Zylarlander]

@urcorrect What they're really trying to show in that last video is that for the problem of adding an infinite amount of numbers, you can simplify it to -1. They aren't calling infinity -1, but rather are finding the needle of an answer from the haystack of infinity.

[urcorrect]

@Zylarlander No, it isn't; no, you can't. And no, they aren't.

[House3272]

@urcorrect Agreed, Me needa explanation!!

[jony1710]

@urcorrect he didn't say that infinity was -1. he said the sum of 2^n is -1. It could also be that it equals infinity. Well, that is what i understand from it.

[hiimquinn]

@urcorrect kinda of ironic, seeing your name and all...

[migratorycocanut]

@urcorrect well whether you like it or not, it has already been proven true in the experiments so obviously hes right! I don't see why everyone is making such a fuss about this >.<

[suicide1995]

Sorry about the last statement, substituing -1 will work for the sum of the series, because (with percise timing) the steps taking to reach infinty can be reverse to give us a clear understanding of the infinte nature of the series or the problem we are working with. Using a "clever technique to tease the answer out of hiding." BRILLIANT!!!

[suicide1995]

He's just trying to say that -1 can be substiuted for sum of the infinte series and the answer you will get will be the same as if you adding the series up and used it. In other words... We know the answer is infinte but there has to be answer anyway. Hey MinuteP... they were acurate with the stregnth of the elctromag force, but using the same math, how accutrate were the with the calculations of the dark energy force?

[IseeRightThrough2you]

A divergent series doesn't converge onto a single number; that's what makes it DIVERGENT. It diverges to plus or minus infinity. If it adds up to -1 or any other numerical answer, then it's a convergent series.

[EyeGottaLessPaul]

So wait infinity is a sheep? And I must purchase a leash in order to tame it. I think this is a reasonable solution.

[emikochan13]

@TheGuyPiano atoms are made of subatomic particles, and while we know all but one of them (it seems) we don't know what *they* are made of yet.

Add in quantum uncertainty and fluctuations and the true answer may never be found to perfect accuracy. Thankfully you don't need to be perfect to be practical.

[hillbillyization]

@TheGuyPiano because there not netrounios are smaller so are quarks and protons /neutrons

[15israellai]

wow colour markers.

[MFGGamerz]

.....am i the only one who doesnt know wtf he just said?

[Searcheur]

mind fucked, stop it.

[spaghetti335]

The idea that infinity = -1 is justified by a logic that could be used to justify any value for infinity.

What he says is "(2+4+8+16+...) - (1+2+4+8+16+...) = -1" but why not instead say "(2+4+8+16+32...) - (1+2+4+8+16) = 31"? This would have an equal amount of numbers on both sides? The mistake that was made is that the "..." means that there is an infinite amount, and that one side cannot have more or less numbers in itself. Doubling infinity does not give you a larger infinity.

[4444jonn]

you guys need to slow down explain things more clearly!!!!!

[CaptainWatson234]

MATHS.

[Efreet69]

Next on Mind Blown Theater.... 0.999... = 1

[piecharthosen]

@Efreet69 nah that's easy peasy stuff.

[Shoun001]

gawd after watching several videos i learnt that i seriously need a sheep

[cooROPyoBODY]

he's teaching false information. 2^n is a divergent geo series. He is horribly mistaken 

[SuperChocolatesocks]

Ur bent

[wtiny2]

infinity is so cute <3 1:22

[wikkyz4903]

lol i want 1:23 as a t-shirt

[leekimlanuza]

chuck norris counted infinity twice

[LaMigra361]

So does -1 equal infinity?

[Drippingwithsarcasm1]

@LaMigra361

That doesn't make a whole lot of sense (I apologise if you were making a joke and I'm not picking up on it, here)

If -1 were equal to infinity, then e to the i (as in, sqrt -1) pi would be equal to infinity as well. The series that he mentioned merely continues to infinity. In other words, it approaches it.

[LyricNoobs]

So on that episode where everything equals -1. If i put -1 for every answer on my test i would technically be right?

[xmenprince]

It remind me the paradox of the lawmaker.

The lawmaker most be just.

The lawmaker makes a law that everyone must follow.

If he must follow the law he is not longer lawmaker. He is under the law.

If he doesn't follow the law, he is unjust, then he is not longer the lawmaker.

If he doesn't make any law he is not a lawmaker and unjust.

Fuck you physics, Fuck you logic.

[SpongebobHATS137]

one word....... huh?



[Radiscool1]

I think what he means is "You questioned me once and I brought your brain to almost-exploding. You question me again and I won't hesitate to blow your brains up with my information."

[euducationator]

1:23 I want a pet infinity!

[kkainoaxxx]

weird... this is the only video where transcribe audio is actually close to what is actually happening

[SmittySmitha]

1949 is not an old topic in math... actually relatively new.

[ayouliyouli]

@SmittySmitha Yes, indeed Hardy's book is relatively new.

However, Euler (1707 - 1783) himself had some interest in adding divergent series. So the topic is in fact a rather old topic ...

By the way, Euler also gives the value of -1 to the series (1+2+4+8+...).

[darkspy123]

This doesn't tell how to get rid of the infinity... The infinity will eventually cancel each other out, if not we're screwed...

[Typho0n86]

I think im getting stupider watching these videos lol

[ThatPinkBeardedGuy]

@Typho0n86 Yeah, with most of these I am just say to my self. "What?, this is not possible!"

[lngun4311]

There's something that's called a convergent series and divergent series . Now, say if i give the series 1/n as in 1/1+1/2+1/3+1/4....+1/n you might think that that number will eventually equal some pretty finite number because the denominator gets really small. But it actually doesn't. But adding that many numbers is impractical. So we find another series smaller than this but with simmilar properties. If we prove that smaller series diverges so does this one. Point is be clever with math.

[Mr007eds]

E=MC(squared) did i just say something genius ?? :D

[Rhaine703]

its really hard to masturbate to these..

[REDBARRON887]

I have a headache

[jasonroxorz]

YOU DON'T UNDERSTAND!!!! because this is a concept from the 2nd semester of Calculus... I just completed my 3rd semester and I don't remember much from sequences and series. He talks about taylor series approximations here too. It's really sad people were arguing about his math last time and there weren't enough of us around to defend him. haha

[soulsabre655]

@jasonroxorz We'll if you remembered, you would have realized from the material taught shows that he is wrong. That is why most people were arguing about his math. The way math is taught in the lower levels shows that -1 doesn't equal infinity. Perhaps he is using some higher level logic unbeknownst to us.

[UnverifiedUser]

So what you're saying is, Science, Infinity, and Numbers can be entertaining to watch if drawn out in pictures

[KillaNinja0]

@UnverifiedUser well you know i think.... your on to something

[utuubee]

I honestly don't get it. I took calc and I think that is infinity

[FlabbyWabby2011]

1:23 SHEEEEEEEEEEEEEEEEEEEEEEEEEEEE­EEP!

[christian101112]

0:16 PACMAN!!

[TheEcoas]

infinity is OVER 9000!!!

[imacds]

The Infinity Sheep has been tamed with a leash of physics!

[gman2268]

how does it = -1 again?

[noufelT]

@TheDivindWinds infinity is possilble... To prove it? Draw on a piece of paper a point A and a point B, draw then a line TROUGH the two points, the line you drawed, stops only because of your paper, but mathemical it go on, forever. To infinity

[TigerLiger64]

? That's all I can say.... I am officially confused. :P

[TheDivineWinds]

Infinity is impossible.

[khye241]

0:18 PACMAN

[jessica13696]

i still dont understand!!!!!

[MultiWafflemaster]

@jessica13696 this is a geometric power series (which probably means nothing to you). This can be simplified, by a property of said series, to equal 1/(1-2)=1/-1=-1. What he ignores in order to do this is the constraints to perform said property: the absolute value of the number under the exponent has to be less than 1. This is still amusing, but all it does is explain why this property has those constraints. This has been your calc fact of the day.

[jessica13696]

@MultiWafflemaster ok that makes sooo much more sense

[Ortund]

@jessica13696 Me neither :(

[DervishDavid]

@jessica13696 thats what physics people do, when challenged they say really complicated stuff until you get left behind.

then youre left with nothing to do but say ''....okay :("

[crocblanc1989]

@jessica13696 me neither :(

[blahblahblah890100]

@jessica13696 don't worry, intelligence is a guy thing

[7m8a6k]

@blahblahblah890100 AAHHHH LOOOL

[jessica13696]

@blahblahblah890100 No, but i guess ignorance is!!!

[136hello]

wats wuth u and giraffes

[MrRubyrubyruby]

This is like finding a horizontal asymptote on f(x)=(x-5)/(x-2) right?

[loriazasz]

huhh....?

[MinecraftPsychopath]

I wish you would be my teacher....

[elon92]

This stuff is what I'm having an exam on in like... 3 hours... Im gonna fail so hard :(

[crazychri1]

as i am watching this video all i am thinking is "how many crayola markers does he go through while making these videos?"

[fordyrox]

INFINITY SHEEP FTW!

[TheKixL]

I just got mindfucked by this guy... for the 8th time.

[BarefootWolfRiver]

Whats up with this guy and his sheep

[Makargo123]

@BarefootWolfRiver What's wrong with sheep? 

[worldwidewackyness]

Me want an infinity sheep!!! 1:22

[shin1300]

tsss i already tamed infinity a long time ago, she is my grandmother's cat :3

[LEGITZOMBIE1]

like every big word he says i fell dumber uhh speak 7th grade

[RIPcaseycalvert911]

the sense that i got from this video is infinity i am infinity

thanks

[TheNachoCobra]

mind:fucked.

[crashbash2000]

i don't get this :(

[UsaraDark]

Whats with you and sheep?

[MegaBooger12345]

maybe i should take physics after all....

[PrinceVegeta1231]

My algebra homework 0:34

[mudlums]

I used to think I was pretty smart. Then a took a mindfuck in the logic department.

[MissouriCrusher]

Sheldon Cooper does this as a warmup.

[sadiel1]

whaaaat ?

[Craftman368]

Couldn't you divide 0 , if you divided it by 0, since any number over itself would equal 1? So 0/0= 1

[CaptainSodaCan]

@Craftman368 thats breaking the rules of math. i dint think your allowed to do that :P

[autryj00]

@Craftman368 0/0 is called "indeterminate form" because it could be literally any number and is thus meaningless. If you assume a*b = c, then of course c/a = b. If you let a = 0, you see that no matter what b is, a*b will always make c = 0. Thus when you solve for b, 0/0 = anything

[MatthewgPWNS]

You are smart. Enough said

[maskmario10]

I have no clue what you are saying but I like the drawings!

[Maybeenia]

*Blah blah blah* *Goes on about science/math*

Me: So that's why pacman has an opening in him...

Dude:*FACE PALM*

Me:What..??

[skelitalman3]

the electromagnetic force whats that measured in?

[ReTArdxGUitar]

This guy is probably gonna end up successfully dividing by zero and kill us all

[SwatCat57]

@ReTArdxGUitar You can, I think.

Zero is just nothing. So, nothing can go into something and infinite amount of times. And infinity, apparantly, is equal to -1.

So, anything divided by zero is -1.

[ReTArdxGUitar]

Way to ruin a good meme :(

[FuzzyOpposum]

@ReTArdxGUitar Dividing by zero IS infinity xP

[Caspent]

@ReTArdxGUitar [Infinity - 0.0/1.(1)]