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bubble12345on Windows 2000 Server named peak Microsoft

> - No screenshot tool that allows you to type text (in addition to circling and highlighting and arrows)

Snipping tool works for all of this

bubble12345on List of Hoaxes in Wikipedia Articles

The linked article is about hoaxes which are specific to Wikipedia. Not about falsehoods in general.

bubble12345on Can AI do maths yet? Thoughts from a mathematician

AI will not do math for us, but maybe eventually it will lead to another mainstream tool for mathematicians. Along with R, Matlab, Sage, GAP, Magma, ...

It would be interesting if in the future mathematicians are just as fluent in some (possibly AI-powered) proof verifying tool, as they are with LaTeX today.

bubble12345on LLMs can't perform "genuine logical reasoning," Apple researchers suggest

I mean so far LLMs can't even do addition and multiplication of integers accurately. So we can't really expect too much in terms of logical reasoning.

bubble12345on Understanding the Limitations of Mathematical Reasoning in LLMs

Can LLMs even do addition, with say 20+ digit numbers? Multiplication?

bubble12345on Show HN: I made crowdwave – imagine Twitter/Reddit but every post is a voicemail

Are there replies? I was expecting comment threads like on HN/Reddit, expect with voice messages. Now it's just individual messages on channels?

bubble12345on The PhD Paradox: A Journey into Academia's Upside-Down World

"almost no publications or citations to show"

Not accurate, he published relatively few papers (less than 20), but several in top journals like Journal of the AMS. His papers also have been cited plenty

bubble12345on Galois Theory

Or you can paste the following JSTOR link into sci-hub.

https://www.jstor.org/stable/2320923

bubble12345on Galois Theory

You are right in the sense that solvability by radicals has no practical importance, especially when it comes to calculations.

It is just a very classical pure math question, dating back hundreds of years ago. Its solution led to the development of group theory and Galois theory.

Group theory and Galois theory then are foundational in all kinds of areas.

Anyway, so why care about solvability by radicals? To me the only real reason is that it's an interesting and a natural question in mathematics. Is there a general formula to solve polynomials, like the quadratic formula? The answer is no - why? When can we solve a polynomial in radicals and how?

And so on. If you like pure math, you might find solvability by radicals interesting. It's also a good starting point and motivation for learning Galois theory.

bubble12345on Galois Theory

That's a common myth. See this paper referenced in the wikipedia article:

Rothman, Tony (1982). "Genius and Biographers: The Fictionalization of Evariste Galois". The American Mathematical Monthly. 89 (2): 84–106. doi:10.2307/2320923. JSTOR 2320923

bubble12345on A book Stanley Kubrick didn’t want anyone to read is being published

Reminds me of Solaris, the same thing holds there (Lem's "rational" book vs. Tarkovsky's "impressionistic" movie)

bubble12345on What's Going on with ‘Nonplussed’? (2017)

People use it as a synonym for 'unaffected'. Sometimes it is unclear what is intended, so personally I never write or say 'nonplussed'.

To be honest, at this point I think it's a useless word!

bubble12345on You Can Call the Super Bowl the "Super Bowl"

Super Bowl is a trademark of NFL, and to keep a trademark you need to "defend" it. Which lawyers presumably interpret as sending cease and desist letters every now and then

bubble12345on Only 90s Web Developers Remember This (2014)

I just remember making websites using <TABLE WIDTH=100%>, and at some point reading that CSS and using <div>'s was the new, more correct way to do it. I only need a simple personal website for academics, so I still use tables for the layout.