Damning

Stochastic parrots, amirite? Just ... um ... regurgitating what's already out there ... right? 🤔🤔🤔

We are on the cusp of a profound change in the field of mathematics. Vibe proving is here. Aristotle from @HarmonicMath just proved Erdos Problem #124 in @leanprover, all by itself. This problem has been open for nearly 30 years since conjectured in the paper “Complete sequences

I have personally crossed a line, and I am a bit in awe. This is my first fully automated, LLM-generated and auto-formalized proof of a new mathematical theorem. Let me set up the problem: we have three rotating circles with six positions each, all three intersecting in a total

Pet peeve: browser tabs that capture standard keyboard shortcuts. Case in point: Juypyter notebook. Ctrl+Shift+T: reopen last tab. Doesn't work now. Ctrl+Shift+S: screenshot (on FF). Doesn't work. A litany of others. I'm sure there's settings to fix this, but it's aggressive.

I thought the irony was lethal when Monopoly became a big seller. But no, it can always get worse! https://t.co/k5q8yoVkhX

> Lizzie Maggie: hates how capitalism accumulates wealth and hurts people > Makes board game about it > "Haha collecting money is fun!" > Government cuts SNAP benefits > Board game promo for free McDonalds > People play anti-capitalist capitalist board game so they don't starve

The section "Reducing tensor network costs via gate removal" from the supplementary material talks about one classical algorithm they could run that introduces extra error, but speeds it up. But they still get lower error than the quantum computer and it takes 5 min, not 3 years.

Can someone explain to me figure S38 from the supplemental material? Because it *really* looks like (also in the accompanying text) Google is saying that they can actually do it faster on a classical computer, getting better accuracy. "13000x" is only for exact calculation. What?

That's not once, but *twice* in 24 hours that someone announces that a Mathematician+ChatGPT make a notable discovery, and then AI formalizes it into Lean.

steps that we can trace that show the original idea (a literal thread) became the modern concept (a series of choices of deductive attack), so in the end we can follow the path. (4/4) (Are my jokes funny yet?)

it is in the end the same concept, because it can be traced to the same origin and has the same name. It is simply a concept which has had each constituent notion replaced. Confusing? Yes, but the literature about the term gives a continuous series of evolutionary (3/)

received from Ariadne to help him out of the maze. The original meaning has nothing in common with the modern logical concept, as each component of this metaphor about Theseus has been gradually replaced with a different and more abstract idea than a literal thread. **But** (2/)

In formal logic, "Ariadne's Thread" refers to a specific series of deductive steps that leads you from a beginning to a conclusion, telling you which way to proceed when there are multiple reasonable steps to take. The name is an allusion to the thread that Theseus... (1/)

You take 100% of the shots you miss.

@HarmonicMath across a number of domains, including our ongoing formalization of quantum information. I'm excited to get this paper in front of people - and we're even more excited to get the AI out to public access... soon! (/end)

@HarmonicMath this system is able to help with *lots* of other kinds of proofs. We give some examples in the paper, material that is *very* much not high school. In my own professional capacity as a mathematician, it's considerably accelerated my ability to write proofs, (2/)

New paper out! https://t.co/4eKUJ8fij0 This one's with @HarmonicMath. We've trained an AI that was able to crush the IMO, the International Math Olympiad, in an entirely rigorously checked way in Lean4. But even more importantly, we've shown that... (1/)

Lean's Mathlib has a definition of the "positive part of a matrix". It is a sufficiently complicated definition that, by default, Lean fails to load it. You need to increase the max processing steps, otherwise it simply quits.

Log on to X for first time in a while A bunch of people, including Americans, are upset about something A guy got killed A guy who lived by and ruled with the motto "Death to America" Confusion I log off X