David J. Webb retweeted
A pessimistic hypothesis for complexity theory: every simple and beautiful algorithm can be made log(n)^epsilon faster by making it incredibly ugly
David J. Webb retweeted
An internal model at OpenAI has produced a claimed refutation of ETH! Russell Impagliazzo, Mohan Paturi, and I have been asked to help organize an open and independent examination of this claim. 1/4
David J. Webb retweeted
OpenAI claims that the Exponential Time Hypothesis is false, solving 3SAT (even counting the number of solutions) in 2^{o(n)} time, with a Lean formalization of the proof.
Announcement: openai.com/index/building-sc…
Paper: github.com/openai/math/blob/…
1/2
David J. Webb retweeted
TBF Lean’s rise had little to do with dependent types. Rather, its pleasant UX turned a few mathematicians into enthusiasts who built a library of mostly… classical math, which in turn spurred unprecedented adoption by stars like Terence Tao.
I disagree!
“What is randomness, really?” and “What are the limits of computation?” are reasonable philosophical questions that have been resolved to almost universal satisfaction by mathematical logicians.
Sure, there are quibbles on the margins, but that’s philosophy for you.
David J. Webb retweeted
Happy Pythagorean Theorem Day!
10/24/26
10² + 24² = 26²
This is the last one we’ll experience in our lifetime.
David J. Webb retweeted
Lifehack: avoid evil NDA by just signing the NDA first and the contract of employment second???
Replying to @BlackHC
The clause also lacks the necessary exemptions for protected disclosures 😡
I believe this non-disparagement clause can have a chilling effect on employees speaking out about serious concerns
Note: when I signed this contract, I wasn't employed by Google yet, so it itself is not covered by this confidentiality agreement and nothing I've ever signed has made it so 😊
David J. Webb retweeted
Assuming 1 try per second continuously, it would take a human ≈ 3.67 x 10^69 years to guess a SHA-256 hash, unless of course it was coded by an Indian infosec company, in which case it would take 4 tries because the answer would simply be “4”
A note from a 1992 paper I just came across.
We have been having this conversation for a *long* time!
Astra summoned up absolute BS on me just this week, claiming a theorem which was easily disproven by an example I’d already discussed with it.
Mercifully it folded instantly when pressed, unlike previous models - but it is far from impossible for it to miss or spew nonsense!
David J. Webb retweeted
really simple intuition for understanding the Löwenheim-Skolem theorem: homepages.ucl.ac.uk/~uctytbu…
What a surprise in today’s 3B1B video…! youtu.be/LKrwhjOI8Nc?t=1404




























