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A brief survey post containing some of the things which happened in the Lean community in 2022. The Liquid Tensor Experiment In December 2020, Fields Medallist Peter Scholze challenged the formal computer proof community to verify one of his theorems … Continue reading →
over 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 →

4 months ago 45 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 →

5 months ago 55 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 →

6 months ago 49 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 →

7 months ago 42 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 →

7 months ago 42 votes

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