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2026

Mathematics Essay 5 min

Euclid's list that can't be finished

The proof that there are infinitely many primes doesn't construct a new prime — it constructs a number guaranteed to have a prime factor missing from any finite list. That distinction is the whole proof.

Computer Science Essay 7 min

The switch everything else is built on

Before logic gates, before bits, there's a piece of doped silicon that only conducts when you tell it to. Working through why, from the lattice up.

Engineering Note 1 min

Hello, world

What this site is for, and how the writing here is organised.