Math's Fundamental Flaw

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Underrated

Woah...

You nailed this comment

This comment is just too good

"You are proof that one can actuality have a value of zero!"

@@viacheslav7870 lmao

@@viacheslav7870 I'd rather listen to the first 10,000 digits of Pi than some irrational numble like you
*crowd commotion intensifies*

Hello! How are you all? If anyone needs someone to listen, someone to talk to, or a friend. I am here to talk, listen, and be a friend. I hope you all are safe and well. Know that you are amazing and have rights as a human. I am very sorry for anything that seems bad that may have happened in your life. I want you to know that you are incredible and are capable of wonders. What matters is your inside, not your exterior. Love yourself and cherish yourself. Words cannot explain how astonishing you are. You deserve care, love, and happiness, don't let anything make you feel otherwise. Please have appropriate action for anything that you know is wrong. Anything that seems bad or wrong in your life right now will get better. Please don't do what is wrong, fighting back and harming others will not solve the problem. Please understand that and do the good thing. It will one day come back to you. The people in the world are so much more than what we know about them, not everyone opens up about the beautiful things and acts they have witnessed, not all those amazing doings are acknowledged. Please understand that and know that. If you feel like no one cares about you, know that I care about you. Keep your head up high and never give up! Together, we can be a better community! Stay safe, healthy, happy, kind, understanding, positive and strong!

"You are more irrational than any number I've ever seen!"

It's like a kid on a playground saying they weren't playing when someone else tags them.

​@dominicbonogofski i dont feel like thats a valid analogy, theres nothing wrong with going youre right this is a flaw and trying to adjust the rules to fix it. Maybe its just the problem with analogies is that they can also be unproveable though so its also a contradiction based on perspective 😯

@@EonsEternity I was just implying that it had the same energy behind it.

this brings up a question: what if the turing machine's answer to haltability was to simply make a new rule: the turing machine cannot accept itself as an input. that would remove the proof against haltability. so does that mean mathematics could be decidable as long as it doesn't self-reference? or does this prove that set theorists were in denial? if neither, then what makes set theory different from mathematics in that in can exclude self-reference and still be useful, while mathematics/turing machines cannot?

​​@@smarchar@dragonsaige I had that thought as well, but then that would eliminate self-reference, which is very useful in answering a lot of questions correctly. At least, that's what my logic led to. I'm just a software engineer with a passion for maths. I could be entirely wrong.

Philosopher ask a question,Phisicists Turn questions into math

Indeed. Just remember that numbers aren’t real. I mean that in the sense that they are always tied to an object or idea. You can’t go out and find a 7 in nature, you especially can’t find a negative seven.

thats because they are philosophers, They are natural philosophers.

PhD student here. Math is applied philosophy. You cannot have one without the other.

Exactly, the foundation of mathematical proofs came from the Greek philosophers.

He actually refused to eat any food not prepared by his wife. Unfortunately she was hospitalized, and couldn't prepare food for him, causing him to starve to death.

@@nbjornestol he couldn't prepare his own food?

@@lavabeard5939 He was a mathematician (logician) after all.

@@segmentsAndCurves
Does that excuse a man from being able to provide for... himself?

@@kindlin It doesn’t excuse, but it explains why he didn’t prepare his own food.

hahahahha good one

well... you can't prove the rule using a rule because the rule is universal and immutable

Yesn’t

"math can't prove itself" to the power of -1

I was asking myself the exact same question

This is the best math joke I’ve heard in a month

Oohhhhhhhhhh

Give me the reference please 😂

@@1stlullaby484 In Conway's Game of Life, 3 living cells around a dead cell make the dead cell alive again so, the joke is that they could have resurrected Conway by having the people (cells) surround him (the dead cell).

Wouldn't work. They'd have to stand there for a whole generation and everyone's bound to use the restroom at some point 😅

Me too brother, me too....

Proofs are horrible, man

😢

Fr its so awesome seeing everything ive learned over the years recontextualized into a cohesive story of cause and effect, i wish my professors told me about this connection before 😂

Weil fell off not tear

dank meme

lmfao

I’m gonna go to my math teacher and be like “math is incomplete and inconsistent,” and she’s gonna say no it is and then I will now more about math than her and I will be so happy

@@Scipio_Africanuss ahahaha bro let me know what she says 😂

@@getonthecrossanddontlookba5004 I assure you math and time are constructs of man, not God.

B is good

@@cohensmith6100 and A is excellent.

@@ALBINO1D ya but like why get mad abt a b when most mfs fail math

@@cohensmith6100 is your benchmark just to be better than worst, or to be the best?
Learn a lesson from Ash Ketchum.

@@ALBINO1D Hes like over 20 and hangs with 12 yrs old girls ill pass man

Philosophy is everything. Mathematics is based on logic, a branch of philosophy of "reasoning", which forms the groundwork for the formal science which is in this case mathematics.
There are other formal sciences like Computer Science, Statistics etc. Sometimes logic is also included in the list of formal sciences.

Wow! I’m sincerely happy to see that you’ve found your path! Keep it up! …And don’t worry; no religion makes any sense.. if you found something to believe in, charge on!

I've been wondering how numbers relate to life. I'm approaching it from the perspective of psychology, where we often use null hypothesis significance testing and the law of big numbers. We take a group of people, do an experiment, and we check the average.
But our phenomenon of interest is the (average) individual, which is different from the group average! Group-to-individual generalizability cannot be taken for granted. The difficulty lies with multiple realizability: -2 and +2 are the same as 0+0. Except for the standard deviation of course, I guess.
But clearly, taking averages obfuscates things. Why? Because counting things reduces information. When you say a pair of shoes, or even two shoes, you equivocate two non-identical things. And it is the same for people with depression, who may not even have a single symptom in common with each other. One study which checked "depression profiles" of ~3,000 people found that the most commonly occurring profile occurred 1.4% of the time amongst the ~1,000 different depression profiles identified. Yet, if a study is done on depression, imagine how difficult it would be to test a psychotherapy or psychoactive drugs without being able to refer to depression as a single concept
The question is whether mathematics applies to the real world. The answer is obviously still: yes, extremely applicable. Numbers allow us to see patterns in the world, which is an utmost necessary condition for intelligence to work. The way the universe and its objects worked in the past is, at the very least, a really great analogy for the future
But might it be possible to describe accurate and precise truths about the world with numbers? The capacity to abstract is fundamental for us to make to be capable to think and talk about the world -- to talk about "depression", without having to mention all the specific cases in mind which represent that concept. Yet, if the utmost of specificity is desired, would that be possible? It would be interesting to see if quantification, or counting, is valid in its strictest sense. Is there any phenomenon in the world which is identical with another (as opposed to merely equivalent), and of which we would therefore not lose any information if counted? Or might every single thing, in its strictest sense, be different from one another?

And you only need two barbers to break the paradox. They can shave each other; the rules never said that wasn't allowed.

Engineering student here, my first thought as well

2 barbers 1 town

@@jeffirwin7862 IYKYK

@@theknightwhosayn1 only the barber can shave anyone, that was one of the rules

What's 3x+1?

Or y3X+1 it is impossible to get an answer it's like pi

@@Jayess-c lol dude they literally made a vid about that, it’s that where you got it from

@@kam9910 what are you referring to?

@@Jayess-c if you were trying to pose it as your own equation you made up, I’m not sure rlly, I’m just 11 lol

It really is and highlights how amazing math is and how useful it is despite its limitations. I think most people would be surprised that our whole modern system of science is built on these grounds, but it works amazingly

Not to disway you, but if you love math, go to math! Not engineering. As much as math is involved in engineering in a lot of ways, in practice it does not.

nerd burns

@Linus Fu Yet neither can prove nor unprove logical paradoxes. The same way no one figured out why we can pin point an electron's vector and position separately at the expense of the other, and never both.

I watched this video when its title was still "There's a Hole at the Bottom of Math".

@@Aereto wait whaaaaaat

Exactly. If one proposes a theory or statement that pushes all of our minds to think hard enough, regardless if it's wrong or not, overall it's something right.

bridge collapses

@@mattstokes3881 and they learn from their mistakes, and makes better bridges

I feel seen

@@cipherxen2 No no no as a civil engineer student u have to prove some math equations to make sure the measurements are right.
So idk what tf are u talking about

Mathematicians: "We must prove this equation is true in all possible scenarios across all possible universes."
Engineers: "Bro, do you even constraints? I only need the equation to be true _on Earth for the next 50 years."_

I love you

that feeling

Read Douglas Hoffstadter and comprehend even less. In an entertaining way ;)

If we had had videos like this in high school, I wouldn't have come out of math class convinced that 2 + 2 = CAT . . .

It is a proof which proves that not everything that is true can be proven after all
¯\_(ツ)_/¯

it's zone out time

Lmfao

tbh the conjecture itself is pretty elementary to understand.

@@tejasdeepsingh456 ditto

@@wildanimus2559 Charizard

@@SoumilSahu what is gobbledygook? - In particle physics, a lepton is an elementary particle of half-integer spin (spin 1⁄2) that does not undergo strong interactions. Two main classes of leptons exist: charged leptons (also known as the electron-like leptons or muons), and neutral leptons (better known as neutrinos). (fûr′mē-ŏn′, fĕr′-) Any of a class of particles having a spin that is half an odd integer and obeying the exclusion principle, by which no more than one identical particle may occupy the same quantum state.

Brains!

Plp are to smart

you mean like Epstein not killing himself

Proving something is impossible is also a proof

Dis gave my brain a new wrinkle

Was waiting for P = NP after The Halting Problem. Maybe next time.

Nice

Veritasium needs a video on P vs NP! Would be amazing.

meanwhile me to my friend: Do you think dogs know theyre adorable?

@@DavidLiMusic yeah because there isn’t enough n/np out there

Where?

Just like the human dimension...

@@RAMBO14001 It's simulations all the way down ....

So wait... if the camera kept zooming out on the game, it would continuously be simulating itself?

Same feeling 🤩

I just don't understand where equation g came from. Why would it have been a contradiction to prove g, just because it said "this can't be proven"? If one had proven it anyways, Gödel's statement would have been wrong, yes,but what of it? Why did he write "this can't be proven"? Purposefully trying to MAKE a paradox by setting contradicting rules and then saying "See? Major problem, math incomplete." doesn't make any sense to me. If things naturally contradict, isn't it the axiom's fault? Shouldn't we just rethink the basics?

@@WritersMoment well if he didnt do that contradiction then we wouldnt know the completeness of math

@@WritersMoment I didn't watch the video, so I don't know how they explained it, quite possibly very incorrect. However the point of the 2nd Gödel incompleteness theorem is if your axioms fulfill a bunch of desirable attributes (such as being able to prove all true statements about the natural numbers), then you can encode its own consistency. Those are known as Gödel sentences. As the axiom system can not prove that, it's therefore not complete if it's consistent. It's possible for an axiom system to not have arithmetic, but be complete and consistent, have arithmetic, be complete but not consistent or be consistent, have arithmetic but not be complete.
So it's not possible to rethink the basics to get all desirable quantities. Math is not flawed tho, since having arithmetics and a consistent axiom system is possible and absolutely sufficient for everything that mathematicians do.

@@henningbreede6428 Wait, do you always comment in comment sections of videos you haven't actually seen?

@@WritersMoment No, this is the sole exception. I clicked on the youtube video because it was recommended and after reading the comments I'm not very motivated to watch it either. It doesn't seem to do a good job at addressing common misconceptions.

I never saw much of this in DiMa... most of this I picked up somewhere along the line and often in the actual CS introductory courses or while trying to understand more basic concepts using YT. Only to be distracted by that one video on the side called "The halting problem" or some such and getting curious. :D

Right on! A semester of DM in one video.

@@Kirmeins Yeah, thing is that DM is so vast that it is really easy to set up a course that doesn't touch on any of this material. The DM course I took was like this... introduction to game theory, a little combinatorics and cryptography, coin weighing problems, stuff like that. But I think the important thing is the ability to get students interested in the material, and then they go looking for other courses that cover it.

I agree, this is also the key for appreciating the role of AI/ML theory. And randomised algorithms.

I had this in my theoretical CS module more than the discrete maths one and while I hated the exams and the assignments, I thoroughly enjoyed getting my mind blown by such a profound topic. I've never thought that we actually would go into deeply philosophical questions about the fundamentals of logical systems, truths and math itself while studying computer science. And how it all connects to computers in the end. Brilliant video, it creates this amazing feeling of profound enlightenment I had when I first encountered this topic and I hope it reaches as many people and blow people's minds just like it had mine.

and here I am, watching this on TV ;)

WOAH WOAH WOAH!!! Let me get this perfectly straight: You comment something that is completely unrelated to the fact that I have two HAZARDOUSLY HOT girlfriends? Considering that I am the unprettiest KRplusr worldwide, it is really incredible. Yet you did not mention it at all. I am VERY disappointed, dear te

@@AxxLAfriku Are you OK?

@@AxxLAfriku what

@AxxL Some types of madness are beyond the limit of infinity

I get my education from youtune videos:)

@@carealoo744 Self education is better than forced education!
Have a good day!

@@kebekbutcher well said

So awesome to have people of all ages getting so much from these videos. I’m 38 and make, and have watched Ve videos for what feels like a decade.

I hope you live long and healthy 🙏❤️👍

wanna learn how to divide by zero?

Noooooooo

lmaoo

illicit infinities are creations of the universe, just like ourselves.

Socrates back from the dead

Haha when will those ads stop being a thing? Gödel would have known

Funny thing is Henry Pointcare seems to be a formalist at heart, as he claimed “later generations would have recovered from the disease” - meaning maths is Complete, Consistent and Decidable.. since he was sure that there would be a system that could with certainty disprove Canter 😏🤷‍♂️

Oh, look. A meme.

You won't believe what Kurt Gödel looks like at age 115!

Comment of the year.

😂

“1+1=2
The above proposition is occasionally useful “ It's also racist. smh

So trueee

@@sdgathman "I proudly and loudly misunderstand things"

@@ccgarciab sounds like you weren't aware that math and logic are constructs of whiteness which inherently oppress people of color

Hard agree. This is your best work. The animations, from the cartoons, to the 2D graphics, to the 3D models, were spectacular, and you and the folks that produced them deserve a huge amount of credit.

This and the one equation will change your life vid

I wanted to say the same thing. This video is giving me a dopamine hit like none other. So well researched and presented. I love how he's connecting all these concepts and theorems across math, computer science, and history. What an amazing journey through time!

Yeaaa it makes me feel cool

@@mfadhilal-fatih1427 XD

Agreed. It's like watching videos comparing the scale of astronomical objects.

It's like watching videos of Minecraft made inside Minecraft.
Which several people have done, apparently.

And I thought, well if Windows exists inside Windows due to virtualization, and you could even run deeper layers, than it doesn't surprise me, that math's followed the same logic... A paradox that is working, by self referencing itself...Which gave birth to computers...

I didn't get that bit, I thought the game of life was essentially a set of rules, so what does that mean to see those rules running on those rules?

I physically exclaimed "OH DEAR GOD" and my wife heard me from the other room and yelled "oh no, what's wrong??"
It's okay, she knew what I was watching and I just shouted back "MORE MATH" and she knew what was up.

everyother youtuber: animates their ideas to make it easier for the viewer
vertasium: climes mountain with no context for a nice backround, spends hours making 3 words with a line through them and custom prints an entire set of cards just to express an idea, just to name a few.

Yeah, but that's irrelevant really - I read all this in a book already. It's the information that matters, not how nice it's presented.

@@unripetomato4312 He has a big team around him. Its not a one man show.

hey I recognize you from ut eng

@@sunnyjim1355 Uhhh... no, actually no. You, me, and a lot of other people may find it easy to understand written, objective, and scientific language, but many others don't. Some people understand artistic, subjective language easier, some others understand abstract languages easier (like the way sounds and colors relate, and "talk" to each other, like people who know how to use colors to tell a story, or people who write melodies, etc.). So probably a lot of people have a hard time with the math and stuff, and to help them have as fun as we have in this beautiful world of math, people (like veritasium) adapt the math to a more visual, artistic language.
Your lack of empathy for people's different necessities helps no one, showing off you read books helps no one, belittling other people hard work helps no one. When you understand that reading books is just one of the many valid ways of acquiring information, and it doesn't make you "cooler" or "smarter", you'll definitely cringe looking back.
:)

I felt like i was going to start crying!

What game? Can you mention time

@@pushparahi5681 around 30:00

I wrote an implementation of Game of Life as an A level project on a Commodore PET. I had to use machine code as BASIC was too slow. I got a bad grade compared to others in the class who wrote simple stock entry systems, as the teacher didn't understand what I was trying to do.

@@albanana683 That sounds great! If only this video was available back then, then the teacher would have definitely given you the best grade. The game of life is awesome.

It did remember 'God don't play dices' from Einstein.

you might want to read mathematicians debates nowadays... nothing has changed

Later generations are just making tiktok videos.

it's not at all surprising that they had strong feelings. they were literally debating how reality works. not just physical reality, but abstract reality too.

Pythagoras beat them at their game though

Like our own life.

Like a matrix

But can it run Doom?

the game of life can be run on a game of life inside a game of life tho

@@Legobuild123 xkcd 505

Its such a good book

@Peter Jerde I just noticed your name. Almost same like mine, funny, don't you think? :)

Same, but for his other book I Am A Strange Loop. In honesty, I have a feel for what the Godel proof is about, but there’s no chance I’d deduce through its formal proof.

We could call this "Gödel, Hilbert, Turing"

@@ilovecomputers I felt much the same until I read David Berlinski's _The Advent of the Algorithm_. I highly recommend it; it makes the subject matter very approachable, and is a super engaging read.

FACTS, i don't know how to explain it but that was mind blowing

I actually cried. I'm not sure what came over me.

You can actually find files with game of life running on game of life that is in turn ran in the program. So its game of life all the way down.

I was reading about it 2-3 months ago so I my self made some patterns.... But then it because headache..... And not after watching this video I got to know why it was a headache....

So the game of life can run the game of life but that game of life can run another game of life but is the original game of life running on another game of life?

Math is not destroyed. It is a science. It improves itself.

@@hisxmark i do fear the day human is no longer able to wrap our brain around maths, that we might hit a "wall", if we have not already had.

@@caber1487 that is not how it works

0 is like infinity and infinity and is like 0?

@@hisxmark race and IQ proves many things regardless of what you want to believe lots of anti science ppl here. odd.

The smarter you are, the less you know

@@cjc722 The smarter you are, the more you know. But the smarter you are, you know that you know less.

@@YavNe This is at the core of the Dunning-Krugereffect.

You are both, that's the lesson 😉

Both; it's a paradox.

Can I introduce you to the Simulation Hypothesis? ;)

Yeah, that was pretty damn cool.

Oh my god I got it too for real, wasn't expecting to find this in the comments!

Minecraft running Minecraft

Yeah...

same here
a single CS semester course of discrete math + another foundational course on proofs, logic, sets in my math minor and boom everything in this video is familiar and understandable

I mean when you view it that way then a theorem can absolutely be complete and consistent and decidable.
A system that assigns true to every statement in inherently complete and consistent and decidable.
Even a system that assigns the value to be an oracle that is possibly obtained tomorrow is consistent and complete and decidable - all undecidable problems are simply deferred.

All Gödel proves is the symbols not, and, or, sets and whatever logic used to manipulate those are incomplete.

@@Zenovarse Well, not quite. Basic logical systems of propositions are complete. But once it's got the machinery to encode number theory then yeah.

@@MindForgedManacle WDYM? If you write your logical system as propositions in your logical system, Gödel shows either it will not be complete or not consistent?

@@MindForgedManacle a kind of a trivial system that works is a system that has 1 statement, corresponding to the system validity is true. But in a non trivial system like the ones we use it is not the case?

Veritasium getting philosophical. It's so important to take some time to think like that.

@@guillermo.mserrano Because what the greats have found is ultimately there is a frontier of knowledge, and then you have to be satisfied living inside what might be a matrix, with no way of knowing whether you are or are not in the matrix, and without knowing if there is a higher power, if there is a purpose, etc. When you can't ask more questions of the outside world, you have to turn in, and figure out what your own meaning of life is, because you realize there might not "be a meaning". Stuff might be the way it is, because it is...

Yeah, out of the whole video that part blew my mind more than anything else.

Wait. If the game of life can run its self, then the game of life will run its self that will run itself that will run its self...
(edit)
...and so on.

@@uttie3408 I actually think it would be worth the effort to build one more iteration on top of the two. Perhaps I'm being unreasonable.

@@uttie3408 I dont get it is the game of life something that can run itself infinitely. It's just confusing tbh.

@@HassanAhmed-rf9xr you can write a computer program that simulates every computer component (that is what is called emulation), and you can make this emulated computer run windows with the same program running in it. this is the same thing: every next level of emulation requires large amount of setup, and takes a very long time to execute.
but a turning complete system is not difficult to simulate: all you truly need is a way to do if-then and store a state, everything else (operating systems, games, hardware drivers, is just built on top of having a set of instructions in the memory modifying the memory and choosing between 2 option based on the memory)

Same. It's been hanging there for weeks until I found the precise amount of free time in a day that I could devote to watching the video. Glad I did though.

i was doing an experiment: clicking on my recommendations and, don't paying attention to the video, but scrolling all the way down to the last video on the list of that one... I did it, 6 or 7 times and end up on this video, that called my attention. And like you, I am glad to did found it.

Same here😅😅... thought I would never watch it😅...loved it 🤗

Woah it’s crazy that we waited for the exact same time to watch this. After just ignoring it, knowing we would watch it eventually because it’s interesting 🤔

Mmhmm

your math test failed you

Bruh

@@enveloreal True, It denied the possible that your answer is concrete and relevant

@@enveloreal You are not taking a math test, but rather the math test is taking you

"Math has a fatal flaw" I believe this was my repeated assertion for the entirety of my school years... ; D

Its unprovable lol

Ahhh yes quite the contradiction
Now prove it

I know what you are saying... but I don't know what you are saying!

+Cheesy Boi Basically there are several mathematical proofs that mathematicians made. The bulk of these mathematical proofs is setting up an entirely new, imaginary system of math, or numbers or letters etc. In the end, it turns out that none of these systems can ever resolve the following statement:
This statement is false.
Because of this, any system of mathematics or language that we know how to create will always have unsolvable problems.

@ 23:42 he says about the Turing Machine "...although this sounds simple..." ..um, No 😬

He was only 25

@Markman Dave Thanks a lot bud I have been in an argument with my brother and we clearly defend different ideas, I should probably do the research on it my self. Though it’s not completely about math only partly. Where arguing about videogame strategy, where when it comes to math we usually agree, but if it comes down to different strategies were clearly on different start ups we are clearly on different opinions.

It's cods wallop. Has anyone commenting here ever studied probability? In all scientific claims you must provide the figures to back your claim. That is not done here.

@@ValMartinIreland Are you referring to the video? Or the comment? Or someone’s reply to the comment?

@Markman Dave While it's true that groups limit one's freedom, they also expand it. If there are no other people one would be one's own input and output. This would mean we'd never get other information besides the ones already existing in one's individual system. Thus we'd be systems of stagnation. On the contrary, the more people we listen to, the more information we can get. Especially if the others have a different point of view. Thus we have a lot of contradictory Information we can work with. Or in other words: "We have an abstract horizon". With this we not only have the chance to solve the contradiction, but also a synthesis.
Whether a group is beneficial or obstructing for an individual, is based on the structure of the group and the level of self-confidence of the individual. Being self-confident means to stand your ground, but also being able to reflect on the critique. Only then you can find the most differentiated solution for your time. 0nly then you can build up on the horizon of your critics and convince them.

Man you are overreacting.

You clapped, but while you were alone?... Does that mean you just clapped ursel-

I mean the whole video was about paradoxes and contradictions

This is about the heart of mathematics, the most abstract thing that humans do. 40% is pretty good for a first try.

@@shoam2103 Definitely. Mathematical foundations are not for the faint of heart, but when presented in this way it can become quite accessible. You don't need to be able to DO the math here in order to appreciate it or even talk about it. I haven't watched very much of this channel, and I'm going to have to remedy that.

This Is the stuff I study everyday... I still don't get it. Math's are hard, but they wouldn't be so beautiful I they weren't

This is fine. It's a really abstract topic that most people will never have a reason to understand to begin with. But understanding the gist of it gives you this amazing feeling of having found out something so profound and fundamental about the world that is mathematics and any system our mind creates by applying logic. It's beautiful, awe-inspiring and depressing at the same time

Word

Two principles I follow. KISS and IIWIAS
KISS = Keep It Simple Stupid
IIWIAS = If it works it ain't stupid

@@amanawolf9166 that's enough for me, let's leave the puzzles for those who can bother

Mathematicians: Start crying uncontrollably*

@@thephantommarauder7748 Don’t look at the way we do trig.

And Godel knew this! The Epimenides paradox was the idea that motivated it all. Godel went through all the trouble of constructing his system because he knew that he needed to work that paradox in somehow-though a little bending and twisting was needed in order to force mathematics to refer to itself. :)

Can someone explain that better? It was cool but I think I don't fully comprehend what is happening

@@ritwikism he put an input in the game of life that it's output, instead of random patterns, was the game of life itself.

@@ritwikism they basically built a computer on the game of life that runs the game of life

@@ritwikism Since the Game of Life is Turing complete, that means you can essentially program anything with the Game of Life. At 29:50 they zoomed out to show how someone had programmed the Game of Life inside of the Game of Life.
The idea is somewhat similar to simulating a computer on a computer, like a macbook running a virtual machine of that same type of macbook.

@@cookiecan10 hence going back to Derek's first answer: Life. If life is turing complete (which it must be), there must be a way to fully simulate itself

I hear you...

I failed maths at 14 years old and never got any other education.
My brain sublimated in a cloud of pink fog that came out my nose

@@alex0589 You should try again. The key for leaning is not give up. It's hard and tedious, but the feeling of understanding something is indescribable.

@@alex0589 You didn't fail maths, maths failed you. It's an epidemic in curriculum worldwide; math is perhaps the most consistently mis-taught subject. Like Neto Fransisco above, I encourage you to give it another go. If you're willing, I can recommend the KRplus channels ViHart and 3Blue1Brown, along with the book _Burn Math Class (And Reinvent Mathematics for Yourself)_ by Jason Wilkes.
Understanding math is not nearly as hard as school has led you to believe. With the right teachers, it's the single most intuitive subject you can learn.

trying upgrade your brain to infinite brain it will be easy to understand

I just came from a Kong-Fu Panda video LOL What a coincidence...

@@afiffarhati4580 wow 🤩 😂

One can learn so much from movies that were intentionally made for kids.

fun fact: did u know that more people die from pugs than from sharks!!!?? i will post regular videos like this so make sure to subscribe!! btw i'm a kid

@@THINKPATH wow rlly

You'd just have to look close and abstractly enough

even if you could you'll likely became crazy, theses logical problems are really for certain rare and random type of personalities and life environements. starting your day by deciding to solve an unsolvable puzzle and doing it seriously for science... personally i see theses fields as almost auto mutilation.

Absolutely

@@wassuprocker892 That's where the fun is. Basically life itself is a paradox. Escaping the loop is freeing, but you strip yourself of fun, while staying in it keeps the fun there. Simple solution to the paradox of life is our free will. We can make a choice whether to stay or leave. :)
Edit: "Fun" was kind of the wrong word. Satisfaction/pleasure is a better one I think.

Godel just told us that we can't know everything about math. Which is obvious. Cuz you can just keep talking about math forever...

He failed... I mean... I've heard Hilbert's name propably a thousand times but this video felt like the first time I heard about Gödel. And I'm from Germany... :D

@@Kirmeins its a joke my dude

That's probably because you're from Germany and Hillbert was german. I'm from Austria and I heared about Gödel way earlier and lot more than Hillbert.

Gödel could have nuked the basis of formal logic, for all I understand.

@@Kirmeins even if you're only studying mathematics, you won't really hear Gödel's name until final year of undergraduate study at the earliest, unless you do an awful lot of advanced reading. Hilbert, on the other hand, has his name scattered throughout undergraduate and graduate topics in mathematics and physics. Gödel's work is considered fairly esoteric and difficult, while Hilbert is more spread out. So it's not surprising that you wouldn't have heard of Gödel if you haven't touched on foundations of maths.

Seriously. The topics he presents are all well covered on youtube and in textbooks, but Veritasium manages to present it so elegantly. It makes it so interesting for topics that can sometimes be boring to a lot of people.

Modern day vsauce

Starting?

@@lightiamagay1625 Vsauce with much more complex topics

Prove that you can't

Trust me

@@monkestronk1227 Prove that you can prove that you can't prove

Is that you Al Gore????

Said every YT comment ever.

👍🏻

I've never read a book that explains incredibly complex ideas in such a fun and clever way. It's challenging but amazingly rewarding.

Yes, excellent book!

Have it on my stand! The Eternal Golden Braid

Gedel ešer baher popper pen plotter ergometar?

Yeah fr

look closer at the bricks composing the castle what are the bricks composed of.

Derek: "... But for me, it was Thursday..."

I suspect that you are one of his groupies.

If only he is my math teacher or history teachers