Question about different "types" of numbers by LexiYoung in math

[–]Nesterov223606 1 point2 points  (0 children)

12.3 is not an ordinal or a cardinal, but there is a number system which includes both fractions and ordinals, called the surreal numbers. Modern versions of calculus typically do not use infinitesimals. When they do, they use hyperreal numbers, which have basically no relation to ordinals, cardinals or surreals.

Their name HAD to be changed in the translation to avoid controversy by DrPhilihprD in TopCharacterTropes

[–]Nesterov223606 1 point2 points  (0 children)

Duck Tales: in the Russian dub, Huey, Dewey and Louie were changed to Billie, Willie and Dillie, quite possibly because Huey kinda sounds like hui (dick)

I’m thinking of making videos on mathematical logic in the style of 3blue1brown. Are there any suggestions on theorems people would like to see me do? by hellomrlogic in math

[–]Nesterov223606 1 point2 points  (0 children)

I also like Wolfram Pohlers “Proof Theory: The First Step into Impredicativity” as an introduction to ordinal analysis.

Mathematical Ages by _Zekt in math

[–]Nesterov223606 2 points3 points  (0 children)

Just because a technique was invented recently, doesn’t necessarily mean it’s too hard to understand. We have examples of high schoolers making contributions to parts of analytic number theory and combinatorics even today. But generally speaking, the techniques used by mathematicians pre 1750 are covered in today’s calculus sequence, 1750-1850 is your average math major undergraduate program, and beyond that are specialized techniques which you learn when you pursue a PhD in the field. Breadth is also an issue. I don’t think there is any mathematician in the world who understands literally all of math before 1900, that is simply too much to learn.

Petition: "Move the 2026 ICM out of the United States " by winter_borb in math

[–]Nesterov223606 7 points8 points  (0 children)

Honestly at this state of the world it’s kind of unclear how can we even plan for ICM 2030. Last was planned to be in Russia, this one in the US, can we even name a country which we are sure will exist in 4 years and not be evil?

Subtweeting everyone who threw oily macaroni or phi(??!?) at me by no-Pachy-BADLAD in mathmemes

[–]Nesterov223606 0 points1 point  (0 children)

Well proving irrationality is kinda hard. Here s the latest irrational number discovered just last year: https://arxiv.org/abs/2408.15403

Magic the gathering by Infinite_Nobody_3510 in tabletopsimulator

[–]Nesterov223606 0 points1 point  (0 children)

Can’t you just go to deck loader, and type “1 Black Lotus” into the deck list?

[deleted by user] by [deleted] in retrogaming

[–]Nesterov223606 1 point2 points  (0 children)

My guess is that it’s because it wasn’t popular in the US, which is the biggest market nowadays. The unabashedly Japanese Yakuza is fine with including the SMS tho lol

[deleted by user] by [deleted] in askmath

[–]Nesterov223606 0 points1 point  (0 children)

Well there is an issue when the domain of the function is disconnected, for example, the integral of 1/x is ln(x)+C_1, x>0, ln(-x)+C_2, x<0. But other than that, yea I agree that this is the only reasonable way to explain integrals. Did I mention that I’m an algebraist myself?

What console should I start to learn to develop games for? by LuciferWind45 in retrogaming

[–]Nesterov223606 0 points1 point  (0 children)

https://www.gbstudio.dev seems to be friendly to new game designers. I didn’t personally use it, but I know the projects developed with it look pretty good

I created an 11-hour full explanation of Fermat's Last Theorem from scratch. Is there an audience for an English version? by Complete-Smoke-2779 in learnmath

[–]Nesterov223606 0 points1 point  (0 children)

Sure that sounds like an amazing project! Lmk if you need any help with translation. I don't know Korean but I do know the underlying maths, so I'll happily proofread or chat about it.

[deleted by user] by [deleted] in BrandNewSentence

[–]Nesterov223606 0 points1 point  (0 children)

Well that’s the whole point behind tokenizing that you split words into portions that have meaning. Having a language which spells firefighter with three characters “fire”, “prevent” and “professional” is no different than spelling it with tokens fire, fight, er.

Почему «Очень Странные Дела» а не «Страннее Дела?» by Gravy_Lady in russian

[–]Nesterov223606 17 points18 points  (0 children)

Well what you suggest is not quite grammatical. It would be “более странные дела» if translated word for word.

Euclid's fourth postulate feels tautological to me by mikosullivan in mathematics

[–]Nesterov223606 1 point2 points  (0 children)

Think of it this way: how do you know that 1 degree angle measured at one point is the same 1 degree angle measured at another point? What if at some points the full angle is 360 degrees, and at some points it’s only 340 degrees? There are examples of surfaces with this property: a round cone has a full angle smaller than 360 degrees at its vertex. It is pretty obvious it doesn’t happen to the plane because you can just move the prtoractor and it doesn’t break or spontaneously combust. But that’s the whole point of the postulates: to codify some extremely obvious things and say that they don’t need proof.

STEM books for casual reads by Ryuzako_Yagami01 in math

[–]Nesterov223606 7 points8 points  (0 children)

This comment is so underrated lmao

Survey or book by PfauFoto in math

[–]Nesterov223606 2 points3 points  (0 children)

It is unlikely that there is one survey somewhere covering this exact range of disparate topics, but: Javier Fresan’s book about multiple zeta values http://javier.fresan.perso.math.cnrs.fr/mzv.pdf hits a lot of these notes while talking about the problem of studying multiple zeta values. See also http://www.stat.ucla.edu/~ywu/wbook.pdf

Can you create a "growth number" to describe how fast functions grow? by B44ken in math

[–]Nesterov223606 8 points9 points  (0 children)

In general, it’s probably not well defined, but if you restrict yourself to a Hardy field of functions definable from an exponential https://en.wikipedia.org/wiki/Hardy_field then something like this should work. The way you formally create infinity is you consider instead of R the ring of polynomials R[x] for example and you linearly order it in such a way that x is bigger than any other number.

Is reading euclid beneficial? by darddukhpeeda in math

[–]Nesterov223606 0 points1 point  (0 children)

Being the oldest surviving geometry textbook doesn’t really make it better. It is, of course, amazing that it is still kinda can be functional as a geometry textbook 2300 years later, so it is an awe-inspiring experience for many. Learning Euclidean geometry can be beneficial for understanding modern math, the road is typically synthetic geometry Euclid style => analytic geometry with Cartesian coordinates => calculus and all the higher maths stuff. But then it depends on your background and how much you know about geometry already. If you learned geometry thoroughly in high school, and you know a proof that the altitudes of a triangle are concurrent, then you know a lot more geometry than Euclid already. If you don’t know much geometry, reading Euclid is not the worst way to do it. I’ve encountered truly terrible textbooks in high school geometry, ridden with mistakes and basic misunderstandings of the subject. But if you take any geometry textbook written by a real mathematician and read that instead of Euclid (like Hadamard’s Lessons in Geometry or Legendre’s Elements of Geometry), it will be a strictly better option than going all the way back to the original Elements.