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26:50 how can two sets contain these exact same two things in this hypothetical situation given the fact that we have already assumed to not know/use any mathematics?

The 451 game which isn't actually that difficult: 4+5=9 +9=18 *25=450 +(7-6) = 451 Or am I missing something !

POLSKA GUROM!11!!!1! POLSKA NUMEREM JEDEN1!!!1 🔥🔥🔥💪💪💪🗣🗣🗣

17:15 They also have a non-repeating non-terminating octal, binary and seximal expansion.

Do not play background music while speaking because it causes listening more challenging.

This is easily the most boring video I watched this week

Whatever subtractions (see what I did there?) you have for the quality of A Beautiful Mind, you have to realize Jennifer Connelly puts the "Beautiful" in the movie. AND truly optimal (I did it again!) performances by a wonderful cast. Crowe and Connelly, of course, but Ed Harris, Josh Lucas, Judd Hirsch, The great Chris Plummer, Austin Pendelton... <== I loved his part! It was so small, but so very enjoyable! Even Bryce Dallas Howard is in it -- Uncredited as a Harvard Student. Ron's wife, Cheryl is a Harvard Administrator in the movie, and his father, Rance is a white-haired patient, presumably in the mental hospital. Finally, Ron Howard himself is in the Governor's ball scene. I THINK the only member of the Howard's family that was unavailable was Clint.

Writing on windows: "I mean, I have done that, but that's beside the point." ROFL! YOU are my hero! It seems like a very good option if you are bothered by chalk dust and before the invention of marker boards. I subscribed immediately, of course. I'm nobody's mathematician, but I was on a math team that discovered some huge Mersenne primes. You can guess which team, I know. It's not a secret.

I think in reality, the box speeds up or slows down as it collides with a wall in order to synchronize the collision with a drawframe. It calculations position, realizes theres a collision, calculates collision point, and then moves the box to that collision point. I dont think theres a step then to see how far it moved, and then completing the rest of the motion trajectory to make the movement stay the same length

1:00 I CANT HANDLE THE WORDPLAY ITS TOO GOOD. JUST BE MY DAD ALREADY.

Papieżowa

Computers are pretty good with numbers, calculations and if programmed correctly: logics. I think it's exciting how it can help with problem solving and research. But can you give AI creativity, intuition and the ability to simplify complex things? AI is a powerful tool, not our replacement.

Prove that 1-2=--1 considering zero has no value. Ill wait.

A better definition for a prime is a number whos multiples are no longer prime. Therfore 1 cannot be a prime because otherwise no other primes would exist. Its no more complicated than that. Well, it is more complicated, but not on the positive plane.

That's the most complicated coffee shop wallpaper I've ever seen.

21:37

Step 31: Or eta subtends the same arc OC1 from OHC1 and OC2C1, but hey, it does what it notices first.

In a decade, I think AI arithmetics could probably surpass human arithmetics to a degree similar to that of human chess and chess bots.

Very instructive. Are you planning a video on the pariahs as well? Those seem even more mysterious to me…

"∃!" (pronounced "exists unique") is the first time I see it. I thought "!" meant factorial

29:50 technically, no more months were added. July and August were merely renamed. The discrepancy between months and their names originates in the fact that the Romans did not count January and February as part of the year, since effectively no work (military, farming, etc.) was done there. Hence they began counting at March, when armies were convened again (which is also why it is named after Mars, the god of war) and would continue operating until December, the tenth month.

My opinion is that if an AI can create a clunky, inefficient, ugly and obtuse though provably correct theory, then simply by expanding the solution space it would have contributed a very firm foundation for human mathematitions to refine and extract simplified, intuitive beauty from it. You need something to make the coal you use to make diomonds from, and sometimes coal is useful on its own. Just knowing that a solution exists and the general direction to search in will aid in all three of your desirable points for a piece of mathematics, even if indirectly for the second and third points.

Polska gurom

russel had sort of different definition i guess according to whom a number 2 is a set of all the sets that has two elements in it

www.youtube.com/@MathProblemsGAS

Math is a religion. It is made out of axioms that cannot be proven. A long time ago, the Jesus of Math (1+1=2) descended from Math dimension and sacrificed itself to enable humanity the ability to count. The followers of this religion is quite arrogant. They called numbers that does not agree with their religion "irrational number". They called their allied numbers "imaginary". They indulged themself in the logical fallacy of "if x !> y and X !< y, then x = y" (middle ground fallacy) which stemmed form the negation fallacy (if A ¬B and C ¬B, then A:C ). Wait, you might argue that negation logical fallacy should be called negation logical construct. Well, all logical fallacy are in itself logical construct. Be glad when you learn enough about logic, you know nothing (truth cancels out each other).

am I the only one that's been thinking about surreal numbers the whole video after ordered pairs got introduced?

But what if I’m a kelvin person? Or a rankin person?

Am I the only Polish man that came here for the content and not only for the title?

It seems to me that groups are the second most "natural" mathematical objects after natural numbers (sets, categories and the like just don't count, they are not really specific objects but rather "meta-objects"). "7" is a mathematical object, it's the abstraction of some pattern that exist in nature in many different forms and instances, and once I recognize it I know lots of things "for free", like the fact that I won't be able to divide it in two equal parts. S(3) or M_14 are just the same, they are something that have interesting properties that can be studies and, moreover, they are "there", they come up in many places and they are always the same. I feel it a lot more difficult to "feel" that way about other mathematical objects. I'm even tempted to dare correct Kronecker and say that "God created natural numbers and groups, all the rest is the work of humans" ;-)

Not convinced by the "primey-ness" argument regarding 7 and 9. 8 has 3 copies of the prime 2! 6 is the product of 2 primes! 5 is a prime!

3:10 Voice was mentioned, Fourier Stans rejoice!

My first guess would be the 4th spatial dimension reduced somewhat. But then again, you'd do that on a 3d area, not a 2d plane.

The last time someone in STEM told me that there would be cake, I ended up getting thrown into an incinerator. I'm not sure I can trust this guy... XD

17:40 that's some cardinal shit right there.

"integers n: n is even" should be better than some x€N shit.

At first,i used to find logic math/logic philosophy hard because i thought that it was for prodigies or geniuses,well basically,i'm good at math,but i was not that good at logic math,i only knew the element of,and the sets,but because of you, I'm starting to love logic math,and it got easier for me,and I'm starting to get hooked up with it,thank you😊.

At 39 min, x^3 + y^3 = 3xy........ therefore v = xy/(x^3 - y) ... why u didn't do that?

Why the coordinates are called "Cartesian"? Shouldn´t the name be "Descartesian"?

Where the octornions?

One rule that is not clear to me is how division rules (in the game) works. Can you use integer division and the remainder? For example 7/2 is 3 remainder 1. Can you then use 3 , and also 1 ? I've never seen people do it though admittedly I only watch the 8 out of 10 cats version of the show 🤣

Googling Pierre Wantzel's birthday...

Isaac Newton’s famous quote “If I have seen further than others, it is by standing on the shoulders of giants”

isn't this the same reason we don't include the zero ring as a field?

A lot of comments I see people had same pattern game as a kid and well, not surprised I was one of those too. For me, as a kid in school in common room we had a piano. My mini game was to play 5 notes with my tiny hand so the sequence would sound "pleasing" with its "no note next to other" rule, but with an additional twist. Notes could not be played next to another, but also they had to alternate between being higher and lower note, so for example 53142 sequence was invalid, but 35142 was. Damn, us humans just love finding patterns, glad that it spans generations and that this particular pattern game was being rediscovered constantly by everyone just amazes me.

Ngl the uploader did the Fermat in the thumbnail dirty or maybe my mind is just dirty…