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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

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 →

a month ago 17 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 →

a month ago 9 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 →

2 months ago 9 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 →

3 months ago 9 votes
Lean in 2024

A huge amount happened in the Lean theorem prover community in 2023; this blog post looks back at some of these events, plus some of what we have to look forward to in 2024. Modern mathematics I personally am a … Continue reading →

a year ago 8 votes

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Speaking things into existence

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Response to Scott Alexander on Imprisonment

Back in November 2024, Scott Alexander asked: Do longer prison sentences reduce crime?

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Don’t think of a basketball player, or search engines don’t even support “not”

In my opinion we have been accepting poor interfaces and results from search engines for quite a while. This may be a small part of why the newer Large Language Models (LLMs) / Generative AIs look so good. The large language models at least implement a usable approximation of what […]

2 days ago 4 votes
The Manus Marketing Madness

While at core there is ‘not much to see,’ it is, in two ways, a sign of things to come.

2 days ago 2 votes
Urgent warning: Black Mirror has entered the United States, with AI as its handmaiden

AI as a smoke screen to cover for authoritarian actions

2 days ago 2 votes