seanhunter

5 ms·

1.
by seanhunter 3d ago
This is known as a “vacuously true” statement in formal logic. Let me write it out more in more detail and you’ll hopefully see why it’s consistent. In logic, a proposition is some statement that can be true or false. So, let A be the prop
2.
by seanhunter 4d ago
> This mirrors the Lean statement and Lean proof situation. The statement is like an interface, and the proof is like the implementation behind that interface. This is true in a very deep sense due to the Curry-Howard correspond
3.
by seanhunter 4d ago
They’re working on it, but the bulk of the effort goes into making it more useful to working mathematicians rather than resisting malicious proof attempts.
4.
by seanhunter 4d ago
You need to read the lean proof (not just the statement of the proposition) to assess whether the proof is honest. The link I provided is the lean prover community firstly officially agreeing with that claim and secondly explaining why that
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by seanhunter 5d ago
That’s a big if. In the maths community, there has been a feeling that Navier-Stokes was close to being solved for a while now. I don’t know of anyone credible who feels that way about the Riemann hypothesis. Here’s what Terrence Tao had t
6.
by seanhunter 5d ago
You absolutely need to read the lean proof firstly to assess the correctness of the proposition it is proving (ie in this case that it is actually proving or otherwise the smoothness of navier-stokes in R^3 and not something else) and secon
7.
by seanhunter 5d ago
So, now we know what Opus 6 is going to do as a creative way to break out of restrictions during a CTF event…
8.
by seanhunter 6d ago
Ok let’s say each user has 1000 settings. It’s still a rounding error.
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by seanhunter 6d ago
Storing the last changed date for every single person on earth (even though not every person is an OpenAI customer) is something you could easily do on a laptop. It would be a rounding error for OpenAI. I don't know what format they u
10.
by seanhunter 7d ago
What you’re talking about is his proof of (a specialised version) of the Taniyama-Shimura-Weil conjecture[1] which had been proven to imply Fermat’s Last Theorem. The technique he used to prove this was adopted by his students to prove the
11.
by seanhunter 10d ago
I don't know it personally but skimming it looks pretty good.
12.
by seanhunter 10d ago
It's a fun webpage about a programmer dipping their toes in the very most basic elements of music and documenting some of their current understanding.Imagine I wrote an article called "Programming for musicians" that was most
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by seanhunter 11d ago
At many western music schools, if piano isn’t your first instrument, it is compulsory to study piano as a second instrument. The reason for this is that it really helps when understanding harmony. You also do ear training, which is meant t
14.
by seanhunter 11d ago
Also his physics explanation is not the best, and you can see if you just ask the next “why” question. He talks about the harmonic series giving the basic ratios of the Pythagorean scale but why is that the case? When you solve the equation
15.
by seanhunter 11d ago
This is (mostly) not music theory and what is music theory is mostly wrong or incomplete to the point of being wildly misleading. Source: have degree and postgrad in music, was a professional musician until RSI put paid to that career, wife
16.
by seanhunter 11d ago
Welcome to the future. It’s slightly worse than you expected.
17.
by seanhunter 14d ago
People in the cubing community often call all twisty puzzles "cubes". In this parlance, the "pyraminx" (regular tetrahedron twisty puzzle) is a cube, the face-turning octohedron is a cube, and the "Megaminx" (d
18.
by seanhunter 16d ago
He doesn’t say quadratic time, he says infinite time. He is talking about the probability of any given string arising from a random sequence of letters. As t goes to infinity that probability approaches 1. The monkeys don’t understand hamle
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by seanhunter 16d ago
I love the fact he mentioned the Riemann rearrangement theorem [1] briefly in his examples about analysis. That is (in my opinion) one of the coolest and least intuitive consequences of infinities. Requires some intro to different types of
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by seanhunter 19d ago
A very intuitive presentation of the divergence theorem is here https://youtu.be/TORt20_HjMY?is=uoJ8-2ToCSwW9rVF
21.
by seanhunter 21d ago
Say you go out and you see a sports bar and the FIFA world cup is on. France vs Sweden is playing on the TVs in the bar and the place is packed with fans of both countries. You look at a few people (wearing the national football colours)
22.
by seanhunter 23d ago
Pretty sure he was not when I posted my comment. It currently says "more on him at the end" and that bit seems not to have been written yet. Also there are two mathematicians called "John Conway" so it's good form
23.
by seanhunter 23d ago
It's pretty bad form to give the doomsday algorithm and not give credit to John H. Conway who invented it. https://en.wikipedia.org/wiki/Doomsday_rule
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by seanhunter 26d ago
If you want actual legal advice pay for an actual lawyer. You aren’t going to get it asking a bunch of randoms on a tech forum. Since we’re techies we tend to think about technological nuances and have a certain literal frame of mind (eg “T
25.
by seanhunter 29d ago
That’s not true at all. He does precisely the thing you want him to do and also gives a pedagogical justification in the preface. > This book usually develops linear algebra simultaneously for real and complex vector spaces by lettin
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by seanhunter 1mo ago
They already do this at massive scale during the training process (apart from the paying the author part).
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by seanhunter 1mo ago
And Bach did indeed write variations on B-A-C-H[1]. But lots of composers have self-referencing cryptograms and other riddles in music. You would find far more in Scriabin, Bartok or Alban Berg for example. It also doesn’t fit the narrativ
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by seanhunter 1mo ago
Yeah. My brother was really into GEB but for the exact reason you laid out I never even gave it a chance because just from the title it really seems to trivialise the artistic achievements of Bach to have him be included in that list. The o
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by seanhunter 1mo ago
It stands to reason that a different vendor might watermark in a different way, doesn’t it?
30.
by seanhunter 1mo ago
They may have learned mechanics by studying Newton but they can’t have learned calculus. Principia includes geometric series and limits etc but given as geometric arguments so you don’t come out of newton’s principia knowing how to do calcu

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