Rado's Radical Reflections

AI Disclosure: Draft was written fully by a human.

AI Disclosure: Draft was written fully by a human.

Recent advances in general models — ChatGPT and Claude — have started to autonomously solve open mathematical problems.

Note: AI was used to edit this post.

This post is aimed at a general programmer and no prior knowledge of math or CS is assumed.

Disclaimer - I wrote the core ideas; Claude helped flesh out and polish the article.

Preface: Why All Mathematicians Should Learn Lean LLMs can generate plausible-sounding proofs at unprecedented speed and scale.

It’s been five months since my last dedicated Lean post and as usual I have started to lose steam on Lean projects.

I started learning formalized mathematics with Lean last year 1, 2, 3, 4.

In 2019, as functional programming was making the last inroads dethroning OOP, I kept hearing the mantra of “just use pure functions” in JS.

I read a good post by one of the authors of the Isabelle theorem prover, that got me thinking.

It’s been 3 months since my previous post about learning Lean part 3, so it’s time to write another one.

I am continuing to learn Lean (see part 1 and part 2).

Around 5-8 years ago when working on Angular and TypeScript rules in Bazel, I got very interested in exploring the core ideas of incremental computation, which seemed like the right way to abstractly (but still precisely) describe the similarities between…

I am continuing to learn Lean (see part 1) by going through Mathematics in Lean.

Motivation I’ve been captivated by the recent movement to popularize mathematics formalization through the Lean theorem prover, and this year I’m diving deeper into learning it.

Ticket to Ride: First Journey simulation authored with AI After playing Ticket to Ride: First Journey with my family recently, I got the urge to analyze some statistical properties of the game.

As the year draws to a close, I want to share my favorite puzzle games from 2024.

Advent of Code AoC is an annual programming competition that releases daily coding puzzles throughout December.

Why TypeScript?

We have been talking about general computation, but so far our language was very limited.

Incremental computation is a way of performing computations, with the expectation of future changes in the inputs to the computiation.

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