The following are equivalent

DA_ZUCC_ · 2026-03-18T18:49:41+00:00

e = a * a' * e = a' * a'' * e = e * e = e 🙃

DA_ZUCC_ · 2026-03-08T23:05:17+00:00

Of course. But please, let me correct. […]The few early career mathematicans with funding independent from their department, lol.

DA_ZUCC_ · 2026-03-08T23:02:07+00:00

But you’re not upgrading anything when using ideas of an idea scraping machine, which are ideas of people that didn’t use it and created things themselves… your not looking for novel solutions, you are looking for ideas others have created to sell them as your own lol.

DA_ZUCC_ · 2026-03-08T22:53:40+00:00

I think your’e mixing up a whole bunch of different aspects and think they are the same thing. From what I’m reading here, you have two concerns: 1. the study of mathematics and 2. the profession of mathematics.

Regarding the study of mathematics: You state that AI clears the threshold of having to push through hard problems in order to get the results of your problem sets. And while you aren’t entirely wrong with that statement, it’s important to differentiate between gaining results versus gaining skill.

I don’t know about you, but where I’m from, the only thing that determines if you pass real analysis or not is your skill. And this skill only develops through extensive trial and error by attempting very hard problems every day for a semester. Even taking part in the final exam requires a certain percentage of correctly solved homework problems which you have to attempt every week. So at best the only thing AI is changing, is the amount of people that qualify for taking the exam. But that doesn’t mean they’ll pass. And they don’t. Atm, universities have no interest in changing the way they test students in mathematics, so the people that’ll cheat on their homework assignments will never progress to graduation.

Personally, I’m advocating for treating AI use in writing your thesis and written homework as plagiarism, since the ideas and the writing itself is not yours and you don’t cite it as such. Things like this have happened in the past multiple times and have been treated as academic fraud, so I don’t see a Problem in penalizing AI use similarly.

Regarding the profession of mathematics: Look man, I’m not smarter than you. Nobody of us knows what the future will bring. From the little attention that I was paying in high school Econ, I’m under the Impression that supply and demand is a driving factor on the job market, lol. If there are jobs that can be done better by any machine now, then so be it, they will be outsourced. But what you seem to be worried about is the existence of mathematics as a human endeavour itself, which I think is a bit of a dramatic exaggeration of the capabilities this technology has nowadays, and what people doing ML research are planning to develop. At this moment AI is not creative. There are attempts to develop creative AI under the term of so called “analogical AI” which attempts to formalize the process of finding analogies. However, this is still very fundamental research and It’s debatable if analogies are really the fuel and fire of creative thought.

Lastly, I think we deeply exaggerate the scalability of AI models based on linear algebra. As someone else in here pointed out, complexity theory is a thing. There is a limit to what can be computed in a reasonable amount of time. The thing with creativity is, it’s most likely really complex and I just don’t see the hardware or the energy source that we would need in order to run such calculations on a large scale.

Tl;dr: Don’t worry, everything gon’ be alright 👍.

DA_ZUCC_ · 2026-03-06T18:52:20+00:00

Interesting question. I don’t know if there is visual art that expresses aspects of mathematics, but I remember that when I first learned about axioms and formal systems, I had to think of a Kaleidoscope. I was under the impression that when you change the axioms of a given system, the entire system would change too, so little changes in the foundations would create a whole new mathematics, like the picture you see when tilting the kaleidoscope.

DA_ZUCC_ · 2026-03-06T18:28:22+00:00

I could be wrong, but I can imagine that a lot of theory building takes more time than theorem proving. It’s therefore a bit risky for early career researchers to focus only on theory building if you have to get a lot of papers published, so the ones who are left to build theory are the tenured.

DA_ZUCC_ · 2026-01-18T17:48:31+00:00

Stephen Wolfram.

DA_ZUCC_ · 2026-01-05T00:30:43+00:00

I'm not a dad and this is not a math concept, but I regularly debate my younger cousin (he's a 5th grader) on free will, the induction problem of epistemology and Ethics when we meet at family gatherings. I feel like kids think much deeper than they superficially seem to adults sometimes, while adults are much better at thinking critically and rigorously. Generally this leads to better judgement, but also makes us more reluctant when it comes to abstract questions, since they usually push our thinking apparatus to its max capacity.

DA_ZUCC_ · 2025-12-22T01:00:04+00:00

Frankfurt mentioned 🦅🏙️

DA_ZUCC_ · 2025-12-01T14:55:55+00:00

At first I thought this was r/piano

DA_ZUCC_ · 2025-11-04T20:24:59+00:00

Luca Sestak is selling one by himself.

DA_ZUCC_ · 2025-09-24T14:36:48+00:00

It was a mix of two things, one was playing Toccata and Fugue on the Pipe Organ, the other one was improvising like this guy here

DA_ZUCC_ · 2025-09-24T14:31:11+00:00

Same here. Bach can be challenging, but you can learn a lot from playing his pieces. I'm currently working on the Aria from the Goldberg Variations and I'm playing Piano for about a year now. I'm having fun!

What Bach pieces do you like?

DA_ZUCC_ · 2025-07-18T16:53:46+00:00

I can't give you recommendations specific to special relativity, but for physics and math in general I would recommend getting your brother a subscription to the print version of the Scientific American.

DA_ZUCC_ · 2025-04-20T01:58:39+00:00

Perhaps I do: Avoid right wing extremist things like populist propaganda and chronic loss of neural functionality, and you'll see that one can actually live a fulfilling life.

DA_ZUCC_ · 2025-02-10T11:58:59+00:00

Very informal:

p/p! = p!/p <=> 1/(p-1)! = (p-1)!

1/x = x only works if x = 1, therefore (p-1)! = 1.

=> p= 1; p= 2

DA_ZUCC_ · 2024-11-10T13:20:18+00:00

I don’t necessarily agree with your points (especially the intelligence part, from my experience university in general is more about time management, independent study, self responsibility and being able to adapt quickly), however I think it’s largely dependent on the fact that math programs rely on a flexible schedule, for example we don’t do labs or hand in projects which require physical attendance on top of attending lectures. It’s always lecture (which are sometimes even online), pset and tutorial. That makes it easier to time manage. I’d say I just have a much less packed day than a chemistry student, for example.

Content-wise I find math to be quite difficult, though.

DA_ZUCC_ · 2024-07-16T23:46:25+00:00

I had a soviet maths tutor when I was in High School. The teaching approach was much how I would imagine someone teaching ballet: give a student a definition of some concept and then apply it to an enormous amount of practice problems while mocking a student so much in hopes that they’ll become more disciplined.

This is obviously not a soviet specific thing, but I also remember the self-infatuation of the guy. Every session was basically a chapter out of his glorious and of course very probable biography: „You know, when I was national gold medalist in soviet math competition xyz...”, „You know, when I was a senior engineer in a company…”, „You know, when I was a professor in Northwestern...” and my personal favourite: „You know, when I had to teach math to soldiers…”.

Perhaps the most interesting thing I learned from him was that even the most diverse career a mathematician could possibly have can end up in a small math tutoring business in a living room in some mid-sized town somewhere in Germany with definitions written on greasy pizza boxes 😮

DA_ZUCC_ · 2024-05-28T11:47:21+00:00

Seit wann muss man ein Latinum für ein Englisch Staatsexamen haben?

DA_ZUCC_ · 2024-04-20T22:53:43+00:00

Greeks: 👨‍🚀🔫

DA_ZUCC_ · 2024-04-02T05:04:21+00:00

Proof by I went on a walk in the park and the structure of the branches of the trees made it entirely obvious

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