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(This is a guest post by Bhavik Mehta) On March 16, 2023, a paper by Campos, Griffiths, Morris, and Sahasrabudhe appeared on the arXiv, announcing an exponential improvement to the upper bound on Ramsey numbers, an open problem since 1935. … Continue reading →
a year ago

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More from Xena

Think of a number: an update

A month or two ago I wrote this post which expressed my frustration with various issues around private datasets as a way of measuring the mathematical abilities of language models. More generally I was frustrated about the difficulty of being … Continue reading →

3 months ago 32 votes
What is a quotient?

Undergraduate mathematicians usually have a hard time defining functions from quotients in Lean, because they have been taught a specific model for quotients in their classes, which is not the model that Lean uses. This post is an attempt to … Continue reading →

4 months ago 46 votes
Think of a number.

My feed was recently clogged up with news articles reporting that Sam Altman thinks that AGI is here, or will be here next year, or whatever. I will refrain from giving even more air to this nonsense by linking to … Continue reading →

5 months ago 40 votes
Can AI do maths yet? Thoughts from a mathematician.

So the big news this week is that o3, OpenAI's new language model, got 25% on FrontierMath. Let's start by explaining what this means. Continue reading →

6 months ago 34 votes
Fermat’s Last Theorem — how it’s going

So I'm two months into trying to teach a proof of Fermat's Last Theorem to a computer. We already have one interesting story, which I felt was worth sharing. Continue reading →

6 months ago 35 votes

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