Every Unsolved Math Problem Solved

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These are some of the unsolved problems solved by mathematicians.
Timestamps:
0:00 The Poincare Conjecture
2:44 Trisecting an Angle
3:46 The Classification of Finite Simple Groups
5:34 The Four Colour Theorem
6:35 The Continuum Hypothesis
7:50 Fermat’s Last Theorem
9:41 Godel’s Incompleteness Theorems
11:02 The Prime Number Theorem
12:10 Solving Polynomials by Radicals
- Sources -
en.wikipedia.org/wiki/Poincar...
en.wikipedia.org/wiki/Angle_t...
en.wikipedia.org/wiki/Classif...
en.wikipedia.org/wiki/Four_co...
plato.stanford.edu/entries/co...
en.wikipedia.org/wiki/Continu...
en.wikipedia.org/wiki/Fermat%...
plato.stanford.edu/Entries/go...
en.wikipedia.org/wiki/G%C3%B6...
en.wikipedia.org/wiki/Prime_n...
www.scienzamedia.uniroma2.it/~...
mathigon.org/world/Axioms_and...
- DISCLAIMER -
This video is intended for entertainment and educational purposes only. It should not be your sole source of information. Some details may be oversimplified or inaccurate. My goal is to spark your curiosity and encourage you to conduct your own research on these topics.

Опубликовано:

28 июн 2024

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Комментарии : 135

@natepolidoro4565 4 дня назад

Poincare didn't "study" topology. BRO INVENTED IT. Legend.

@ryanthescion 4 дня назад

Galois was an absolute beast. His early death was probably one of the biggest setbacks math has ever had

@hydra6261 3 дня назад

Real

@em.1633 2 дня назад

I'd argue Ramanujan was an even bigger loss

@newwaveinfantry8362 2 дня назад

He was the ultimate simp.

@FadkinsDiet 4 дня назад

A correction. Fermat's last theorem was not just for third powers, that had been known for a long time and for quite high exponents. Wiles' achievement was to prove it for literally all positive integer exponents.

@alejrandom6592 День назад

@NtudaI 3 дня назад

Bro said "comp-ass"

@mehran528 4 дня назад

Just wondering if Evariste Galois had lived long enough he could have massive contribution in maths

@kingki1953 4 дня назад

Also Ramanujan too. I hope live longer until 60 years old but he died in 30's. 😢

@clockblower6414 4 дня назад

Same deal with ramanujan. Lost way too soon

@juaneliasmillasvera 3 дня назад

I dont know, maybe yes maybe no, he could be a Gauss or be a one hit wonder. Anyway we will never know it.

@FishSticker 3 дня назад

@@juaneliasmillasverawas gauss a one hit wonder?

@sya8002 3 дня назад

@@FishStickerthe guy literally wrote “Gauss OR a one hit wonder”

@DeathSugar 4 дня назад

ffs, so many statements are presented wrong. fermat last theorem said about any nth power bigger than 2, not just 3. 3rd power was prove impossible long before Wiles.

@Abraham-SolomonZoeAdeyem-zw3go 14 часов назад

7:15 Forget Jigen People Dawg.......

@TRex-fu7bt 4 дня назад

Godel’s second incompleteness basically says: “completeness (all true statements are provable), consistency (only true statements are provable), and arithmetic-pick two”

@alejrandom6592 День назад

Master

@alejrandom6592 День назад

I choose consistency and arithmetic

@walterfristoe4643 3 дня назад

Poincare didn't live "around 800 years ago," he lived from 1854 to 1912.

@theclimbingzebra День назад

he said "a hundered years ago", not "8 hundered years ago".

@benyseus6325 2 дня назад

The way you pronounced both of these French gentlemen’s names 11:42 actually gave me cancer

@torgeirHD03 2 дня назад

Insolvability of the quintic equation was actually first proved by Abel and Ruffini, Galois only later generalized the theorem and simplified the proof

@basspuppy133 3 дня назад

Change your smoke alarm battery 11:51

@basspuppy133 3 дня назад

Again at 12:18

@SupremeST25 День назад

@cesaresolimando5145 4 дня назад

Fermat's last theorem states that for all n>2 there are no integer solution to the equation aⁿ+bⁿ=cⁿ, what you presented in the video is just a specific case

@ffc1a28c7 День назад

which ironically, Fermat gave a complete proof of.

@CalculusReviser 3 дня назад

Fermat’s last theorem is more than just cubic numbers, it applied to all positive whole integer values of n where n is the power of x, y and z.

@AB-Prince 4 дня назад

did you ever change the battery in your smoke detector.

@melangesvolatils6506 3 дня назад

for french, "poincaré" is like "point carré" which would means "square dot"

@atzuras 3 дня назад

For me, he always will be not a point, not a square, but a closed manifold

@nightsurvivor3673 2 дня назад

I'm actually working on x⁵-x-1=0 right now. I have a hunch that while it cannot be solved algebraically (by radicals), it can be solved transcendentally (something containing e=2.718...). Even if I could do that, it would be short of a full explanation of higher-degree polynomials. It also might still be impossible to have a single formula for all quintics, but it's a step in the right direction.

@TRex-fu7bt 4 дня назад

arxiv is pronounced like “archive” (ar[k]ive)

@raphdm3776 3 дня назад

Poincaré did not exist 800 years ago blud

@magicmulder 4 дня назад

Just a small correction, AFAIK Wiles did not show that FLT follows from Taniyama-Shimura, that had been known for a long time and isn’t that hard. Also proving Taniyama-Shimura was an extremely important result for mathematics, so proving FLT was more of an icing on the cake.

@boyjohn 4 дня назад

I wonder if the AI will correct their mistake.

@fysher3316 2 дня назад

To correct this correction: Taniyama-Shimura WAS in fact proven by Wiles (and one other), so it wasn't "known for a long time", and neither is it not "that hard". It was regarded as a terribly difficult problem.

@odysseas573 День назад

@@fysher3316The Taniyama-Shimura conjecture was not proven by Wiles. He proved a specific case of it (semistable elliptic curves) that included Fermat's last theorem (there is an amazing video by Aleph 0 on the topic). Using his work from 1995 on that proof a group of mathematicians finally proved the whole conjecture in 2001.

@clarencejohncabahug5466 11 часов назад

@@fysher3316proving that FLT follows from Taniyama-Shimura conjecture is not the same thing as proving the Taniyama-Shimura conjecture.

@Nirakolov 2 дня назад

Tom Clancy: What is the sum of all fears Mathematicians: -1/12 fears

@GabriTell 11 часов назад

Lmao

@johnsavard7583 2 дня назад

You didn't state Fermat's last theorem correctly. The case of 3 as the exponent was proved shortly after Fermat's death. So was exponent 4. But the theorem said there was no equation for any integer exponent greater than 2.

@thepizzaguy8477 4 дня назад

One small thing to note: please change the batteries in your smoke detector

@confusingowl 4 дня назад

Finally some solved problems. I’m always frustrated by the videos that describe a problem with no solution. 😂

@klausklaus8092 3 дня назад

I like the video, but please look up the pronunciations of the names beforehand

@kennymartin5976 День назад

"... began work to simplify his proof." Oh neat! "...to a mere 4000 pages!" Oh...😅

@clarencejohncabahug5466 11 часов назад

Abel was the first to prove you can't solve an equation of the 5th degree or higher. However, Galois generalized it further by proving the necessary and sufficient conditions on when a polynomial equation is soluble by radicals.

@1MN0089LS 4 дня назад

Love this channel. Just wonderful. Keep it up

@ianstopher9111 18 часов назад

The classification of Finite Simple Groups was not completed in the 90s. There have been several stages where the classification was deemed complete, but it was only with Aschbacher and Smith's monumental work on the classification of quasithin groups, that the final piece was in place in 2004. I don't think any further gaps have come to light since then.

@user-or5ke5yn4w 4 дня назад

Imagine 5 (or 25 or as much as you want) countries meet at the pole. Then you can't use 4 colors, you have to use as many as there are those countries.

@tupoibaran3706 3 дня назад

I think this theorem implies that a border between two countries cannot be a single point and has to be an actual line.

@WaffleAbuser День назад

It also assumes that exclaves are treated as separate entities. Otherwise you can easily make 5 mutually bordering countries. I’m surprised that he even shows it in the graphic at 5:59 but doesn’t comment on it

@jules3331 3 дня назад

Euler proved that Fermat’s last theorem holds for cubes centuries before Wiles proved the whole of FLT 8:55

@techno2371 3 дня назад

Absolutly amazing! Keep up the great work!

@TheFilipFonky 2 дня назад

You need a pop stop for your mic badly, but other than that great vid. Also since I'm being a ballbreaker I might as well add this critique: you should speak more naturally, and less with the generic "youtuber giving lecture" monotonous tone

@T.AhdNamer 3 дня назад

I enjoyed the vid, great work and explanation, thumbs up!!

@Bodyknock 4 дня назад

FYI Henri Poincaré’s first name is pronounced “En-ree”, the H is silent in that French surname.

@pierreabbat6157 2 дня назад

It's /ɑ̃.ʁi/. Don't try to transcribe French words into English spelling, it doesn't work.

@WaffleAbuser День назад

It’s more like Awn-ree

@mrl9418 4 дня назад

Congratulations, this is well done, synthetic but informative

@sleepingbee101 День назад

It wasn't 4th dimension it was the 3rd dimension he solved

@mlerma54 2 дня назад

I would not describe the results about the Continuum Hypothesis (CH) as it being neither true nor false, Gödel and Cohen's negative results were about the impossibility of proving it or refuting it within certain formal systems, but the question of whether it is actually true or false remains subject of debate - in fact Gödel himself seemed to believe that CH has a definite truth value (true or false), we just don't know for sure which it is. That said there are also mathematicians, like Solomon Feferman, who believe that the truth value of CH is undefined, or even more, that it is not even a defined mathematical problem - Feferman has a paper about it using a semi-intuitionistic subsystem of Zermelo Fraenkel (ZF). There are also mathematicians that have had varying opinions on the subject, e.g. W. Hugh Woodin developed an argument against CH around the year 2000, however in 2010s he stated that he now believes CH to be true.

@ianstopher9111 18 часов назад

My limited understanding is the CH is independent of ZFC. It was not stated in this video this fact, which I think is crucial.

@GabriTell 10 часов назад

But couldn't we just say: "Let 'Φ' be a set such that any function 'f : ℕ-->Φ' and 'g : Φ-->ℝ" is non-exhaustive" (understanding that a set "B" is bigger than a set "A" if there's no exhaustive function "A-->B") and just check whether it creates some kind of contradiction or not? If the answer to whether there's no contradiction is "yes", then CH is true. If the answer is "no", then CH is false. If the answer is "it cannot be proven", then it means that we can't find any contradiction so technically it would be true.

@FreeGroup22 3 дня назад

trisection of the angle problem is actually about proving which angles are trisectable, every trisection is not impossible

@user-gb6sz3ve4f 2 дня назад

Next video will be "Unsolved math problems solved by philologists"

@ThoughtThrill365 2 дня назад

😂 sounds interesting but no

@orphan-eater 2 дня назад

Too bad they are already solved, was trying to get some quick money because these problems are very easy

@user-or5ke5yn4w 4 дня назад

Poincare lived in 19th century, not 800 years ago.

@pietrom2642 3 дня назад

Probably he meant to say a hundred

@maxtadeu181 3 дня назад

He says a hundred

@coreylapinas1000 2 дня назад

I bet the main reason none of the other problems have been solved is because a 1 million dollar novelty cheque would be an insult compared to the work and talent involved.

@Xnoob545 День назад

It doesn't matter if there's a prize or not They've not been proven because they're like, super hard

@calpatus1149 3 дня назад

good video but you used the wrong picture for richard s hamilton, you used the picture for richard hamilton who is an artist lol

@Superman37891 День назад

0:15 “around 1900”, 0:20 “lived around 800 years ago” oof nice math

@ThoughtThrill365 День назад

i said "a hundred years ago" but it sounded like 800 years ago

@MrJoosebawkz День назад

10:38 my understanding from taking discrete math years ago is that godels incompleteness theorm wasnt: “any math system has true statements that cannot be proven true and also cant prove that it isn’t inconsistent” but more so “any math system that doesn’t have true statements that can’t be proven true is inconsistent and any consistent math system has true statements that cant be proven true.” like it’s one or the other. A math system can only be useless (inconsistent and unprovable truths), have unprovable truths, or consistent. Is that wrong?

@user-fc8xw4fi5v 2 дня назад

You forgot about all the unsolved problems on my homework

@GabriTell 11 часов назад

Nobody's gonna talk about how crazy the fact that Evariste Galois literally created new maths in order to make his proofs is? 🚬

@yesssint7243 2 дня назад

Poincaré looks like if Jamie Hyneman had an alter ego. Not a bad thing

@valeriobelenkov3029 4 дня назад

Great video! Keep this up :)

@kaka52447 3 дня назад

Great video, although the picture of Richard Hamilton around minute 1:28 is that of the artist by that name, not the mathematician.

@bluepiston9347 2 дня назад

The proof for the four colour theorem is kind of a let down. Either that or I'm misunderstanding the proof.

@Maxhill_ 2 дня назад

ARE THOSE SMOKE ALARM CHIRPS!!!!!!!!!!!!!!!!!!!!!!!!!! CHANGE YOUR BATTERIES NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

@VivianAttler 3 дня назад

Now i know what the minecraft splash text "homeomorphic to a 3-sphere" means thanks.

@geeshta 4 дня назад

Fun fact: trisecting an angle is trivial using origami method (folding)

@pidigi День назад

Fermat theorem was proved…

@imjustagirl18 8 часов назад

wasnt fermats last theorem abt every integer bigger than, not only 3?

@markiangooley 4 дня назад

Haken: pronounced HAH Ken. One son is a composer and another a computer scientist I think, associated like him with the University of Illinois at Urbana-Champaign (at least early on).

@AbelShields 4 дня назад

5:59 why does it say "can't color this with 4 colors"? You clearly can - just make the purple bit blue, and the little blue nubbin one green (or red or yellow)

@tupoibaran3706 3 дня назад

The “little blue nubbin one” with an A has to be the exact color as the big blue square with an A. They are the same country so to speak.

@vipinx8881 День назад

c- c-.. calm pass?

@MrJoosebawkz День назад

6:01 im confused. arent you explaining how it was proven that every map can be colored with 4 colors? but youre showing a map that cant be colored with 4 colors. or is the point that they proved a map CANT always be colored with 4 colors? in which case how did that take so long to figure out ?

@MrJoosebawkz День назад

ok no the 4 color theorm was proven to be true. so what am i supposed to think of this map that seemingly cant be colored in with 4 colors? you said the only rule is that two adjacent “states” cant be the same color. So this 5 color map doesnt break the rules. but it cant be colored in 4… so how is the theorem true?

@AndrijGhorbunov 17 часов назад

@@MrJoosebawkz I guess adjacent means only sharing a finite length border, not just touching in a point. This video has a lot of details messed up, he shouldn't give an example of four states touching at the same point, since that's not the type of map the theorem is about

@staryxzc 4 дня назад

This was super fun to watch while eating. I've been so into the mathematics part of the world recently that anything can satisfy this brain

@srghma 22 часа назад

How You make these videos? PowerPoint?

@ThoughtThrill365 21 час назад

Photoshop + Premier Pro

@algolin 2 дня назад

Great video, but some pronunciations of French names make me laugh. Like "Jacques" pronounced "Jaquee"

@waffleisyummy 3 дня назад

Change the battery in your smoke detector

@ThoughtThrill365 3 дня назад

😁

@waffleisyummy 3 дня назад

@@ThoughtThrill365 ily keep up the amazing content🫶

@na1edawg 4 дня назад

Formats last theorem concerns all powers of n greater 2, not just n = 3. This is a significant error, I suggest correcting and reuploading

@pypeapple 3 дня назад

> Tells someone to immediately delete work due to a mistake > Spells Fermats as formats

@WaffleAbuser День назад

@@pypeappleFormat’s lost thermometer

@anonimx3512 4 дня назад

❤

@dpjanes 4 дня назад

Not 800 years ago at 0:22

@ThoughtThrill365 4 дня назад

it was "a 100 years ago" 😄

@nerdboy628 4 дня назад

Your pronunciation of long names is impeccable

@ZachGatesHere 4 дня назад

Henry Ponkaray

@FadkinsDiet 4 дня назад

He gets Godel very wrong

@polygonvvitch 4 дня назад

If you solved one of the Millenium Problems today they would need to pay you 1.823 million dollars if they wanted to account for inflation.

@Officialarmadillos 3 дня назад

I’m here

@sixtysixstyx 3 дня назад

Bro that's not how you pronounce compass....

@robbiedart7422 День назад

Yeah wth

@zeropol 8 часов назад

I dont understand why the title ends with "solved". ( I wont watch nor vote because I was clickbaited )

@ThoughtThrill365 8 часов назад

how exactly you were clickbaited?

@latrapa918 День назад

Wow

@GrifGrey 4 дня назад

Oh my god, they're real, they're not an AI.

@thecritiquer9407 4 дня назад

❤❤❤

@alejrandom6592 День назад

Every solved problem was unsolved at some point. Since your video is not the set of all math problems, I will dislike.

@ThoughtThrill365 День назад

it is the set of all all problems which are solved 😛

@ophello 4 дня назад

Dude, stop saying “COMP-ASS.” It’s pronounced “COM-piss.” Gödel is pronounced “GUR-dull”

@DavyCDiamondback 3 дня назад

Poincaré 😂

@thetaomegatheta 2 дня назад

Terrible explanation of Poincare's conjecture. You also mispronounced the name of the archive. No interest in watching the video past that point.

@ThoughtThrill365 2 дня назад

can you explain it in a better way? 😃

@thetaomegatheta 2 дня назад

@@ThoughtThrill365 Instead of bringing up '4D' shapes, I would present the statement of the theorem, and, depending on what sort of audience I would be aiming for, I would explain the relevant terms. The way you presented it, it's both wrong and not digestible by lay people.

@ThoughtThrill365 2 дня назад

I see, thanks for your feedback. I will work on improving them. =)

@perpetualrabbit День назад

I really hate this whiney computer voice. I is used too often and beats every interesting subject to death with its mediocracy. A pitty, because your video is otherwise interesting and well done.

@ThoughtThrill365 День назад

hey, it's not a computer/ai voice. sorry, if you felt that way.