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Infinite Trees Are Super Weird
Рет қаралды 707,064
9 жыл бұрынTrying to list all the numbers, yet again...
The Infinite Series playlist: • The Infinite Series
@soapbing 9 жыл бұрын
"im going home" vihart finally left math class
@acgandhi 9 жыл бұрын
+soapbing This made me realize just how long @ViHart has been in math class!
@2b-coeur 9 жыл бұрын
+soapbing Woooowww.....
@dlwatib 9 жыл бұрын
+Amar Gandhi Years and years since puberty. (Assuming she ever hit puberty. Maybe she's an infinitpuber...whatever. It's probably trademarked too.)
@Polygonetwo 9 жыл бұрын
World's longest math class.
@LLorfa 9 жыл бұрын
+soapbing Yeah, and she's going back tomorrow. :-D
@willsheehan2975 9 жыл бұрын
Life is like this. Regardless of what node you are on, there are countless others you are not. Great video. Thank you so much for posting.
@1curiocat 3 жыл бұрын
Vi has so much to say on the topic that Vi speaks very quickly. The closed-captioning keep up, but about ¾ through the video, they go even faster. First with some interjections, but then on tangents about topology and what 'long' means and other things not spoken about. It's as if the captions are about to burst forth in their own attempt at an infinite linearity.
@DvsArtemis 2 жыл бұрын
I was just recommended this video and I'm glad. I've been struggling with math ever since I was in 6th grade and you have some interesting stuff.
@petrifiedhitman7389 Жыл бұрын
I pay more attention to this than my math class
@IDWpresents 9 жыл бұрын
"Nope Also a company" LOL
@quasar_catfish 9 жыл бұрын
+IDWpresents Infinitree is a company =P
@ZardoDhieldor 9 жыл бұрын
+IDWpresents "See? This is why math is hard!" :D
@PinkSparklyBatman 9 жыл бұрын
+Zardo Schneckmag ikr lol
@jaypillsbury843 9 жыл бұрын
+IDWpresents "I'm sorry, the sentence, 'Copyright Law is no longer serving its intended purpose' is trademarked."
@TheCrosshare 9 жыл бұрын
+IDWpresents Nope is also a company. I think this is going down the line of infinicompany.
@Twisted_Code 9 жыл бұрын
"Math is all about making stuff up and seeing what happens" ~ Vi Hart
@BGBTech 9 жыл бұрын
+Twisted Code hmm... it seems this is something math has in common with CompSci and programming... it isn't so much about 'research' or 'discovery' so much as just throwing crap at the wall and seeing what sticks...
@mellamobob 9 жыл бұрын
+Brendan Bohannon um, CompSci is veeery different from programming. Computer Science is a science, and indeed a very mathy one with proofs and whatnot. Programming is an engineering field, and I would say good programming does not rely heavily on trial and error.
@BGBTech 9 жыл бұрын
mellamobob generally, the line between CS and programming is a bit fuzzy. however, in CS, one isn't generally so much trying to discover "what is the case?" (as in a conventional science, which is more concerned with the observation of nature), but rather "what works?", and trying to address matters of how ideas and information are best represented and expressed within a system. not everything is created equal, and some algorithms and idioms "stick", while others are soon enough discarded and forgotten.
@mellamobob 9 жыл бұрын
Brendan Bohannon I guess definitions may vary, but I think of CS as mathy exploration, like pondering "is P=NP?" or "is this automaton I made up Turing complete?". So yes, CS is different from the natural sciences, which we think of as the conventional sciences. I would say a question like "how is information best represented in a system?" to be a question for programmers, since optimization and implementation problems fall in the realm of engineering. so basically, in my head, CS:Programming::Math:Mechanical Engineering they are clearly different, but definitely related
@Vulcapyro 9 жыл бұрын
+mellamobob I think half the problem here is that there isn't really a dedicated term used for that area. Computer engineering deals in architecture, theoretical computer science deals in abstraction and theory, applied computer science deals in computing. Saying "computer science" is thusly sort of ambiguous. Applied computer science also often uses career-based terms rather than field-of-study nomenclature because it's so varied.
@LookingGlassUniverse 9 жыл бұрын
I love the attitude of 'I know it doesn't work but let's try it anyway to see what happens'. This video shows it can lead to very cool things!
@hellothing 7 жыл бұрын
Looking Glass Universe interesting to see you here :p
@laurgao 6 жыл бұрын
lol very tru
@garethdean6382 9 жыл бұрын
Ugh, infinite trees, we have one on our street and every autumn, regular as clockwork the gutters get infinitely blocked with leaves. Takes forever to rake them up.
@clematis726 5 жыл бұрын
Gareth Dean it’s been three years have you raked them up yet?
@shou_ga_nai 4 жыл бұрын
4 years. They gone?
@TheRandomInfinity 3 жыл бұрын
No
@aidanhennessey5586 3 жыл бұрын
Gareth it’s been omega years have you raked them up yet?
@directrix777shinyshinyamyt4 3 жыл бұрын
Yo Gareth, it’s been infinitely long, have you raked them up yet? (Now here’s a question, how did this comment get here to begin with?)
@markog1999 9 жыл бұрын
this is why counting in binary is easier and everyone should be doing it. only 2^infinity nodes instead of 10^infinity nodes. infinitely less nodes
@biozak1000 9 жыл бұрын
+markog1999 but also exactly the same number... aleph 1
@ben1996123 9 жыл бұрын
+biozak1000 wow you proved the continuum hypothesis !?!?!?!11
@Vulcapyro 9 жыл бұрын
+Levi “When will we want wantons” Langer Not even; the cardinality of the set of infinite binary strings is 2^ℵ₀, as you might even expect. The cardinality of the set of infinite decimal strings could be shown to be 10^ℵ₀, but 2^ℵ₀ = 10^ℵ₀. (Also if markog wasn't joking this is relevant to the OP)
@cerulienceruleen6463 9 жыл бұрын
+Vulcapyro Hello, I don't know what cardinality is (if you don't tell me I'll go search myself) but I guess that the balance between steps and branching density to figure a number depends on the hardware. Computers' chips are bidimensionnal so it seems that there's already little room to draw many steps on a tree with very dense branching (relative to a binary tree). But by nature, chips can compute many steps at a small cost. So very complex calculations can be performed if the time is taken. Cortical neurons are in 6 layers. The information is analogic, written in a range of frequencies, but transmitting information consume chemicals, take time, an the system can be tired. So sparing us steps seems an advantage for our hardware. In return, we can easily figure situations with multiple outcomes in "one" step (at least without going back to the begining of the list of conditions, like a programm does). I guess my statement has a link to how we handle numbers, even if the exact biological coding of numbers is still unknown. It may have a link to our motor functions, like spatial localisation appears to be linked to our musical ear (High mountain guides sing better than the general population :D).
@JonhamYT 9 жыл бұрын
+ben1996123 oh hey ben
@dobbelE_ 7 жыл бұрын
And they said pies don't grow on trees!
@thepolicecarthatalwaysinte7324 7 жыл бұрын
+Nabbcat lots of one's I've had.........
@k8tieisjusthere123 5 жыл бұрын
*lifts hand, as if to say something* *lowers hand and looks at you, confused*
@Dougiewoof 5 жыл бұрын
@Nabbcat a high one
@midluci 5 жыл бұрын
Math jokes 3.14159
@hkayakh 5 жыл бұрын
Money comes from trees
@MindYourDecisions 9 жыл бұрын
Neat! This made me think about the surreal numbers, which can be visualized on an infinite tree. John Conway describes how each number is born a different day, and numbers like 1/3 and infinity are born on the infinite-th day.
@farrankhawaja9856 2 жыл бұрын
I’m seven years too late but hi!
@itismethatguy 2 жыл бұрын
Oh hi you watch her too love your puzzles
@petrifiedhitman7389 Жыл бұрын
It’s the infinitree
@onjofilms 9 жыл бұрын
I've got Infiniweeds in my yard.
@akpsyche1299 6 жыл бұрын
420 blaze it.
@squoop.filmss 6 жыл бұрын
This is the best original comment I’ve possibly ever seen😂😂👏🏻👏🏻
@TheRojo387 6 жыл бұрын
onjoFilms this and other videos have left me haunted by surreal numbers.
@NoSubsWithContent 5 жыл бұрын
if so much weed is there just burn it because it will be burning forever and the cops can't do shit cause they get high and burned
@LiquidSoapDrinker 5 жыл бұрын
@@NoSubsWithContent bruh that would be the littest block party
@Squidika_ 9 жыл бұрын
Vi Hart AND Vsauce uploading on the same day? Is this real life?
@spacemonster7051 9 жыл бұрын
+RaineCloud Or is this just fantasy?
@swingardium706 9 жыл бұрын
+GiantSpaceMonsters win XD
@HamzaSayedAli 9 жыл бұрын
+GiantSpaceMonsters Maybe it's Maybelline?
@swingardium706 9 жыл бұрын
QTHERESURRECTION another fantastic win XD
@Dragonfire973_ 9 жыл бұрын
+RaineCloud Probably not, we must have entered the matrix... This is clearly the only logical explana- Hold on, I'm being told that someone has invented a concept called coincidence. Alright, please disregard my original statement, it must be a coincidence.
@VoidPants 7 жыл бұрын
I want to climb this tree, Pi, Tau, Phi, square root two, .999... or one! It would be fun!
@Bobobottle2 9 жыл бұрын
You actually make me like math... Good job.
@ijo-pali 4 жыл бұрын
I don't think algebra is actually math. It's too boring to be math.
@goji7273 8 жыл бұрын
Tree of Possibilities is a kickass band name.
@Miznomera 8 жыл бұрын
Is She sponsored by Sharpie?
@lepinkhairedotaku562 6 жыл бұрын
Alex Camp one year later
@squoop.filmss 6 жыл бұрын
This is such a good comment....
@Joe-bb4yi 4 жыл бұрын
Another year
@SunriseMaster 2 жыл бұрын
And another year..
@nicreven Жыл бұрын
And one more.
@rjmayo 9 жыл бұрын
I love Vi Hart videos on infinity. I don't fully understand them, but they make me think a lot and I really like that.
@HannahTarr 9 жыл бұрын
*when I saw this in my sub box* A NEW VI HART VIDEO??? ALL THINGS MUST BE PUT ON HOLD WHILE I WATCH THIS *after watching it* video... vi hart... math.... all things must be put on hold while i try to wrap my head around this....
@2b-coeur 9 жыл бұрын
+Hannah T Yep XD
@icannotchoose 9 жыл бұрын
Oooooh a video hart video yay!
@umcarainteressante 9 жыл бұрын
+Drama_Llama_5000 video hart video?
@icannotchoose 9 жыл бұрын
+UmCaralnteressante vi* darn it autocorrect
@datadonascimento 9 жыл бұрын
+UmCaralnteressante você é interessante.
@umcarainteressante 9 жыл бұрын
kav Obrigado, eu acho
@2b-coeur 9 жыл бұрын
+Drama_Llama_5000 YAY! :DDD I now understand why I saw so many excited comments when I was watching all of her previous videos...
@patwams48 9 жыл бұрын
Actually, if you want to get .33333, you need to take the 4th branch every time. :)
@Joe0Alt 9 жыл бұрын
Everybody always forgets 0 like the 0th law of Asimov's robotics laws
@patwams48 9 жыл бұрын
Heh, I'm a programmer so I naturally just start couting at 0 :P
@m8e 9 жыл бұрын
+patwams48 It really depends on if you count 0 as the 0th number or the 1st :P
@85halfnotes 9 жыл бұрын
Are the roots of the tree negative numbers?
@buddyisbored2355 9 жыл бұрын
woah
@benrueter2321 9 жыл бұрын
My brain hurts
@StavrosSachtouris 9 жыл бұрын
+Leggiero Are they square?
@ZardoDhieldor 9 жыл бұрын
+Leggiero No? Negative numbers would belong to trees to the left of this tree. Which all share common roots with this one though! :D
@mrdavisrd 9 жыл бұрын
+Zardo Schneckmag Ow. My brain hurts even more now.
@diphyllum8180 9 жыл бұрын
After all those pro-tau videos I'm kind of surprised to see you using pi as the example here
@chesseswar 9 жыл бұрын
"Just because something is a _little_ bit impossible doesn't mean you can't try it anyways!" I love your enthusiasm, Vi, but I'm not sure that's how it works... :P
@ijo-pali 4 жыл бұрын
Yes it is!
@RCAvhstape 9 жыл бұрын
Turns out Infintree is trademarked. Ugh, see, this is why math is hard! LOL
@thejuzey 9 жыл бұрын
This video was very well timed since I was trying to explain infinity to a friend today (mostly based on the things I'd learnt from Vi Hart videos).
@jessicabridgwater 8 жыл бұрын
You do know she is teaching us stuff while we are watching KZfaq! Lol. I love this stuff
@markog1999 9 жыл бұрын
w w wait what if we count in base 1? that's 1^infinity nodes, and 1^infinity = 1 therefore there is 1 real number.
@Zhon66 9 жыл бұрын
+markog1999 Actually, there'd be 1^infinity nodes (which is indeed 1) on the infinity-th layer of the tree. In base one, you have 1, then 11, then 111, then 1111, etc. Each one is on its own layer, which has 1^X nodes on it - one on each layer. But the total number of nodes is 1^1 + 1^2 + 1^3 and that infinite sum is of course infinity. Still infinity real numbers.
@Gairhoth 9 жыл бұрын
Try counting on base 1. So the only digit you have available is, say, 0. So the quantity 1, is represented as 0, 2 as 00, 3 as 000 and so on. But it's impossible to use non integers. What would be represented by 000.0000? How do you represent 0.5 or 0.23, or 1/pi? Turns out you can't. A 'unary' system can only count integers, of which we know there are countable many.
@ben1996123 9 жыл бұрын
+markog1999 base 1 is retarded and 1^infinity is undefined
@scoldingMime 9 жыл бұрын
+markog1999 It would be a bit pointless (or should I say nodeless!! (almost)) to use the technique in base 1 because base 1 only 0 as its digit, and the possible digits would all equal 0, as in 0, 00, 000, etc. . In this sense, there /would/ be one level of node: the beginning node of 0.
@Tapemaster21 9 жыл бұрын
+Scolding Mime You just wrote a beautiful proof on why 0 = 0. Congrats
@umcarainteressante 9 жыл бұрын
INFINIMEME
@MrPolymath0 9 жыл бұрын
+UmCaralnteressante simply ebin
@umcarainteressante 9 жыл бұрын
Mikko Finell /r/meme army reporting in!!!1
@Randomness65535 9 жыл бұрын
+UmCaralnteressante XDDDD wen does Narwal bacns XDDDDD
@tobyryberg 9 жыл бұрын
I was thinking of your videos the past couple days and there's a new one! What serendipity!
@JakeFace0 9 жыл бұрын
Vi's back! And it's glorious!
@TheCyberd1 9 жыл бұрын
I am so happy that you released a new video. I enjoy them very much and went through withdrawals when you took that long break. Hope all is well and have my fingers crossed X X for more videos.
@ishmamillustrates 9 жыл бұрын
"Math is all about making stuff up and seeing what happens" Wow, I'm surprised by how true that is.
@whauk 9 жыл бұрын
I just tried quickly to formalize "last node" and "neighbors of the last note" and arrived at the conclusion, that the last node has no predecessor and no neighbors. Here is how: In order to include infinitely far away nodes, we need to identify every node with something more handy; I chose the (unique) path leading to the node, decoded as a sequence of pairs ("edges"), that are being traversed starting from 0. For example the node 0.123 would be identified as {{0,0.1},{0.1,0.12},{0.12,0.123}}. This allows the very easy addition of those non-finite nodes*. E.g. 0.333... is associated with the (infinite) set {{0,0.3},{0.3,0.33},{0.33,0.333},...}. Now a node X is a predecessor of a node Y if and only if the set difference Y\X consists of precisely one element**. This is clearly not possible for any infinite set in the way they were constructed. Also two nodes X and Y are neighbored if and only if they differ by one element (X can be obtained by replacing one element of Y with a different one). This is again not possible for any infinite nodes. Please note that this might not be the only way to formalize this and maybe you will arrive at different conclusions, when doing it differently. I just thought, that this we-have-infinitely-many-pi/10-nodes-all-neighboring-each-other-gibberish sounded like bullshit to me. And in my formalization it turned out to be ;-). *footnote: You have to be a bit careful about what to add. For example any infinite path consisting of only finitely many not-9's should be avoided, because 0.499999...=0.5 and so on. You can work out all the formal blah blah if you feel like. I am too lazy right now and fairly confident, that it won't change anything. **which is a set consisting of precisely two elements, if you're keeping track at home.
@Vulcapyro 9 жыл бұрын
+whauk I think any other formulation involving the natural numbers to index digits will fail as well. Thinking of a digit sequence, which would formally be a function from a subset of N to {0,1,2,3,4,5,6,7,8,9}, also runs into the same problem. Basically as long as you're using decimal representations of the real numbers you're bound to fail. This doesn't mean that you couldn't use a more formal approach to the real numbers themselves to do what you're thinking of, though (although I doubt it is possible given completeness of the reals).
@KanDlov1 9 жыл бұрын
omg I'm so happy you uploaded!! I was just rewatching your old ones a few days ago lol
@run9234 9 жыл бұрын
So glad you're back! I missed your videos!
@woodfur00 9 жыл бұрын
Looks like Big Tree is also a company…
@FernieCanto 9 жыл бұрын
+woodfur00 If you are the big tree, we are the small axe.
@fishypaw 9 жыл бұрын
I like to thumb up Vi's videos so people will see it in my 'liked videos' and think I'm smarter than I am.
@only20frickinletters 9 жыл бұрын
+fishy paw Here's a secret: Nobody looks at your liked videos.
@fishypaw 9 жыл бұрын
+17inchcorkscrew You're so mean.
@NickCybert 9 жыл бұрын
+17inchcorkscrew The advertising robots pay very close attention to your liked videos.
@fishypaw 9 жыл бұрын
NickCybert If that helps throw a couple of extra cents Vi Harts way, cool! :)
@dave5194 9 жыл бұрын
+fishy paw More like 0.0001 cents lol
@captainbeachboy3413 8 жыл бұрын
I love this channel so much. You're teaching stuff while drawing, making it fun. I just think this channel and you deserve far more views and subs.
@ryanmarchant1565 9 жыл бұрын
Vi - i don't always understand what you're talking about, but I always enjoy your videos. Thanks for creating great material, and making my brain work a little harder for a few minutes now and then.
@zanedobler 9 жыл бұрын
Technically, 0.0(repeating)1 is infinitesimal, not zero. Also, Big Tree isn't LEGALLY owned by anyone (that I am aware of), but it was already used by Stampy and Sqaishey.
@NNOTM 9 жыл бұрын
+Zane Dobler "Technically", 0.00....1 is not part of the standard set of real numbers. You can of course add infinitesimals to the set of real numbers you use, but then it's a different set. (Incidentally, numberphile had two videos about that recently)
@2b-coeur 9 жыл бұрын
+Zane Dobler Oh my goodness, another person who watches Stampy and Sqaishey and Vi? And seems to be smarter than I am XD
@Vulcapyro 9 жыл бұрын
+Zane Dobler Digit representations of (hyperreal) infinitesimals is commonly notated like 0.000...;...010... where the semicolon separates indices that are finite hyperintegers and ones that are infinite hyperintegers. Like NNOTM says, however, you have to specify what system you're actually working with. Can't just say "technically" and then start talking about a different context.
@JJBushfan 8 жыл бұрын
Do you ever dream of electric sheep?
@skyepell4171 7 жыл бұрын
yes
@D0NCH33T0 7 жыл бұрын
no but that sounds cool
@JJBushfan 7 жыл бұрын
Thanks for the comments, guys, but the question was actually intended for Vi Hart. Such mathematical brain power expressed at such speed must surely indicate that she's actually an advanced android. I suspect that the captivating voice and the ever-so-pretty hands are just camouflage.
@Rasselas_Urasawa 7 жыл бұрын
JJBushfan blade runner. lol
@peach8438 7 жыл бұрын
JJBushfan Mary had a little lamb it ran into a pylon 10,000 Volts went up its ass and turned its wool to nylon
@timdiggerm 9 жыл бұрын
This was pretty cool, and it's good to see you back for a few minutes
@DogBehaviorGuy 9 жыл бұрын
Yay! I was just thinking a couple days ago "I miss Vi Hart videos," and now there's a new one. Thanks!
@RoySchl 9 жыл бұрын
How about THE NEVERENTREE?
@lc7269 9 жыл бұрын
Nope, also a company See? This is why Math is hard :(
@jdgrahamo 9 жыл бұрын
+Zamuroy ...or the Never-never-tree
@RoySchl 9 жыл бұрын
Lucky Abat damn it, should have googled it before posting.
@ZardoDhieldor 9 жыл бұрын
+Lucky Abat Is it? Can't find it! :/
@lc7269 9 жыл бұрын
Guys i didnt mean it literally
@MadameTeqi 8 жыл бұрын
That last video was too heavy. I need to hear Vi happy
@JBook4U 9 жыл бұрын
Somehow, in my last math test, I finished early and started thinking about your videos. Without thinking, I started writing down the Tau from your circle song. Let's just say I got a commended lesson and a merit :) thank you xxx
@NicolSD 9 жыл бұрын
I am glad to see you back. I missed your videos.
@iMareisha 9 жыл бұрын
My brain hurts.
@2b-coeur 9 жыл бұрын
+iMareisha Then again, that describes me after any Vi Hart video...
@nevercallmebyname 9 жыл бұрын
Call it a Mathdrasil then like yggdrasil only with math
@AB-gh5be 4 жыл бұрын
infinityggdrasil, maybe?
@alexandriamonroy5300 8 жыл бұрын
I liked this video a lot. I didn't understand some parts of it, but I really enjoyed the illustrations and I feel like when you include the illustrations it helps a lot to show what you are talking about. I felt like it was very ambitious and creative to create the infinite tree. Using the tree helps make a very confusing topic as infinities into a more simple illustration.
@tiawalkup9967 8 жыл бұрын
I have a really bad anxiety disorder and for some odd reason I find these videos very calming. Like if I'm having a panic attack or feel like I'm gonna have one I watch these and it makes me feel so calm.
@pomfegranate 9 жыл бұрын
Yay you're alive vi
@Holobrine 9 жыл бұрын
Big tree... Bigtree... Bigotry... What?
@izzomapping7430 9 жыл бұрын
I was waiting for you to do another video! Thank you!
@TimothyZhou0 9 жыл бұрын
First video in a long time... This made me very happy! :)
@uhhhhh2672 8 жыл бұрын
Its an infinitree...Geddit? Infinitree... Ok I'll just go
@jeffreycanfield1939 8 жыл бұрын
That wasn't that bad... ok maybe a little.
@rachjessee 8 жыл бұрын
It wasn't a bad joke
@rachjessee 8 жыл бұрын
Wait vi hart wrote that she wrote and said infinitree
@swimswum 8 жыл бұрын
what? that's literally the joke she made in the video?
@uhhhhh2672 8 жыл бұрын
+swimswum I know. That's why I repeated it
@Fransamsterdam 8 жыл бұрын
Most numbers are incredibly big.
@benyazzie4119 7 жыл бұрын
You have a beautiful voice and you're a genius, thank you for the videos, they've made me creative again
@justinyoung6342 9 жыл бұрын
YAY! Any video from you is a great video. It's been a while. Hope to see you more often in the future, but I understand if life gets in the way.
@technicality 9 жыл бұрын
Vi Hart and Vsauce on the same day?!?! Is it my birthday?!?!
@Joe0Alt 9 жыл бұрын
Happy Birthday 🎂
@technicality 9 жыл бұрын
+Joe Alt Enjoy the video filled "gift bags"!
@ZeroExcess 8 жыл бұрын
DIGITREE!
@samschulman1616 8 жыл бұрын
"Go down the infinite pie path forever!" *Sounds delicious*
@AugustineDunn 9 жыл бұрын
Annnnnnnnnnd SUBSCRIBED!!!! Happy to have been recommended your channel by the KZfaq algorithm box!
@HuggyBearx64 9 жыл бұрын
WHY NOT CALL IT THE REALITREE?
@tyhawke3916 9 жыл бұрын
Infinitrees?
@MsMarkleaf 9 жыл бұрын
My favorite You Tube Channel that I don't understand but still enjoy.
@samus543654 8 жыл бұрын
I don't know what I like the most about your video .The drawings, the absurd or the maths
@SmommyBear 9 жыл бұрын
YOURE ALIVE
@SirCuriosity 8 жыл бұрын
What I really liked about this video was the way you took upon describing the infinite numbers between 0 and 1. Most mathematical examples, although sometimes still not quantifiable or truly visualized, leave the individual fazed or confused, but a tree with branches of different values as they progress forward is comprehensible, even if said progress is infinite, the method is understood. I got somewhat confused around the area in which you described the infinite number of paths which didn't correspond to the infinite number of nodes. In conclusion this video is really inspiring to continue my love for math which is part of my everyday life, and my passion for thinking about numbers in different ways on the daily!
@lawrencecalablaster568 9 жыл бұрын
Nice video, Victoria! I like thinking about the construction of numbers & the Way of Cantor. Thank you for this mathematical gift! So Long & Thanks For All the Fish, Lawrence Calablaster :)
@Ace12GA 9 жыл бұрын
Missed you Vi, thanks for the video.
@everydaydoe 9 жыл бұрын
Mind blown twice over! You created a way to visualize infinity and I'm still brainstorming ideas based off the conclusion that essentially pi may reach a point it's created its own Big Tree™
@Sauceballs 8 жыл бұрын
I really like how all of the numbers in between numbers can be infinite. It puts a different perspective on math.
@HiAdrian 9 жыл бұрын
Long time no see, love your videos!
@Painted_numbers 8 жыл бұрын
As an aspiring mathematician, I really enjoy your humor and graphics. There's so much to this video but your way of explaining it is phenomenal.
@moxxieart 8 жыл бұрын
Your videos hurt my brain. And I love it.
@galaxyistrash395 9 жыл бұрын
Yes! You uploaded! I love the channel and I thought you were not doing KZfaq anymore3: but YAYY! Your back!:3
@Linzolle 9 жыл бұрын
Interesting how just yesterday I started rewatching these videos and low and behold now we get a new one
@TwelveOThirteen 9 жыл бұрын
Oh that's fun. I had this theory, like, one month ago. Thanks for clearing it up for me!
@michaelbauers8800 8 жыл бұрын
Damn you Cantor! You and your crazy ideas about infinite sets. And damn you infinite sets, it will all end in tears, like it did when they added up 1+2+3+... and got -1/12.
@youtube_fantastic 9 жыл бұрын
Awesome as always!
@Tye-Dyed 8 жыл бұрын
so many of these videos go right over my head but I love TRYING to understand
@BrienMalone 9 жыл бұрын
LOL!! The hardest thing about math... Copyright and Trademark Law. Love it!!
@ZardoDhieldor 9 жыл бұрын
3:57 "... but, you know, math is all about making stuff up and seeing what happens..." What a perfect description! :)
@allanimelover2198 9 жыл бұрын
so glad ur back, vihart!
@diribative3602 9 жыл бұрын
There is a node on layer omega in the proper-class sized tree corresponding to Gonshor's sign expansion for the surreal numbers...
@DanielC01000100 9 жыл бұрын
Great thought!!! Real numbers are really weird. That infinite information on almost all numbers make things go haywire
@DaTibsters 9 жыл бұрын
Yay! You're back!
@ghostyprince 9 жыл бұрын
I have no idea what is going on, but it's so entertaining to watch.
@thomaseros3163 9 жыл бұрын
FINALLY!!!!!! I missed you so much!!!!
@tommurphy1153 9 жыл бұрын
Ive really missed your videos :)
@IanGoegebuer 9 жыл бұрын
I loved this! We've missed you Vi Hart!
@Xclann 9 жыл бұрын
Very interesting. Learned something new today!
@messi27793 8 жыл бұрын
I have no idea what I'm watching when I watch these, but damn are they fun to watch.
@BGBTech 9 жыл бұрын
in a way, you have effectively described Arithmetic Coding. it compresses data by essentially storing it as an arbitrarily long number between 0 and 1. as symbols (digits in the tree example) are coded, the range between one number and the next adjacent number gets smaller, and the number describing the path gets longer. once you get to the end, encoding stops. however, not all the ranges are equal (unlike the tree), but rather they change as one goes along (more popular symbols) becoming larger and others smaller, so that the resulting number is shorter (compression occurs). ( it actually works pretty good, but is slower than many other options. )
@zucky7664 6 жыл бұрын
One of my teachers showed my class one of your videos and i was just like :O!
@AlaricHolmes 8 жыл бұрын
It's funny how the tree at around 2:30, that looks like it's "upside down," looks the same as the trees used in linguistics to parse sentences and describe language families. It's a very productive image. :^)
@tome77509 9 жыл бұрын
To find a place that can not be found you have to become lost :) love the video