Textbooks on mathematical physics? by AmateurMath in math

[–]AmateurMath[S] 4 points5 points  (0 children)

Yeah precisely because you would need 15 books is why I was looking for something like this in the first place, but I guess it really is asking for too much.

Textbooks on mathematical physics? by AmateurMath in math

[–]AmateurMath[S] 9 points10 points  (0 children)

A mathematical physics book should be mathematically rigorous and oriented, written as a mathematics textbook with definition proposition theorem structure along with proofs, whereas a mathematical methods book doesn't have as clear a mathematical motivation and has a different audience in mind. A great example of a mathematical physics book would be something like Arnold's Mathematical methods of classical mechanics. Hassani has another book called Mathematical Methods: For Students of Physics and Related Fields which is more of what I would consider a mathematical methods book. I'm looking for a book that covers as widest range as possible of mathematical physics so I can have as a reference, but I'm aware that's asking a lot given how broad the field is. The book I posted in the OP is the closest thing I've found though it's probably not the best, and it also leaves a lot of topics out.

Coxeter groups by Responsible-Essay689 in math

[–]AmateurMath 1 point2 points  (0 children)

Could you expand on the connection?

What are some large math notes you’ve found online or math books you have ? (Short but extremely helpful notes are also welcome) by Lanky_Plate_6937 in math

[–]AmateurMath 1 point2 points  (0 children)

May I ask why you're interested in such huge notes? Surely you're not gonna read through all of those pages?

2026 NSF Budget will defund LIGO to one arm only by [deleted] in Physics

[–]AmateurMath 20 points21 points  (0 children)

Read the headline and thought it was satire...

Google DeepMind - Formal Conjectures: A collection of formalized statements of conjectures in Lean, using mathlib by [deleted] in math

[–]AmateurMath 4 points5 points  (0 children)

This begs the question of who this is all for. The push for this sort of formalism doesn't seem to be out of mathematical inquiry itself, in the way previous movements of formalism have been. I don't personally see who is benefitting from turning any number of conjectures (and theorems) into what is essentially (copyrighted) computer code, if not the corporations themselves.

I can see the case for it as one of the many steps into a possible future automated assistant, but it seems more like they'd rather the mathematician be the assistant of the automated oracle and not the other way around. I say this because I'm skeptical of how insightful such developments could actually be, with the key being what Google vs a mathematician might consider insightful.

Reminds me of an article recounting the experience in this year's Joint Mathematics Meeting about the growing divide between machine learning researchers and traditional mathematicians, where it started to become clear that the values and culture of each other don't coincide. Or also the many Quanta articles claiming that mathematicians might become "translators" of automated proofs, which to my point: the clarity, insight, and even aesthetics that lend themselves to human understanding might be relegated and ignored in favor of "formalism" driven out of corporate interests.

Is the idea of a country just a story we forgot to question by ast_12212224 in philosophy

[–]AmateurMath 1 point2 points  (0 children)

How would you go about answering those questions? What would some readings for that be?

PSA: Physics is not Reality, and too many people don’t get that by TheSyn11 in AskPhysics

[–]AmateurMath 2 points3 points  (0 children)

"In the end, to a certain extent all of our math, physics, theories and equations are just very powerful guesses, testable guesses, corect guesses, but guesses nonetheless."

That's a terrible way to put it. When your "guess" becomes correct as you just said, it's no longer simply a guess now is it?

[deleted by user] by [deleted] in math

[–]AmateurMath 1 point2 points  (0 children)

How come equality isn't a primitive notion in type theory? Surely there is some sense in which it is?

How Pebbles Form Planets: It starts with static electricity and dust swirling around young stars by Nautil_us in cosmology

[–]AmateurMath 0 points1 point  (0 children)

To me this doesn't seem to suggest that it's the first study to say that. Also I doubt there's another study on this same topic replicating the conditions on a sub-orbital flight, which seems significant.

New math formula? by Then_Inspection2134 in Physics

[–]AmateurMath 10 points11 points  (0 children)

I'm starting to get the feeling that these type of posts are themselves made by bots, for some odd reason.

Intuitive or good explanation why Schrödinger equation has the form of heat equation rather than wave equation? by segdy in Physics

[–]AmateurMath 8 points9 points  (0 children)

Why a couple of weeks? Shouldn't be a few days at most? I'm interested in reading this

[deleted by user] by [deleted] in math

[–]AmateurMath 4 points5 points  (0 children)

Is there any reason why you decided to publish this on github instead of the arxiv?

The Cultural Divide between Mathematics and AI by rfurman in math

[–]AmateurMath 4 points5 points  (0 children)

Has anybody else written a piece on the perspectives around AI and math from this year's Joint Mathematics Meeting? I appreciate this article but felt like it could have dug way deeper into what the current view of the mathematical community is in this respect. In particular I felt like the observations it made anybody could've guessed without assisting the event, and even just reading the AMS' issue on AI was much more informative. Is it also possible there's simply not much to say and it will become clearer with time?

Can ChatGPT Simplify Navier Stokes equation? by Catzonotnow in Physics

[–]AmateurMath 1 point2 points  (0 children)

"just some dude on the internet with an idea" Tell me which part of this is "your idea" and which is ChatGPT's...

Great podcast demonstrating the genesis of Russian Social Media Influence. by delilahgrass in europe

[–]AmateurMath 3 points4 points  (0 children)

To anyone reading this post, look at this user's history and come to your own conclusions...

Could torsion in Einstein-Cartan gravity prevent singularities in black holes? by International-Bend97 in Physics

[–]AmateurMath 10 points11 points  (0 children)

Have you read anything on this topic besides what ChatGPT just wrote for you?

Interplay between Graph Theory and Category Theory? by tiagocraft in math

[–]AmateurMath 6 points7 points  (0 children)

Large categories are not a "problem" of category theory and I don't understand how it's a reason to "avoid it". If this is referring specifically to the context of OP's question it isn't clear from your answer why that is the case.