math

  • 11th January 2026

The Limits of Computation (Part 3/3)

What Turing machines can't do, and why it matters

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  • 10th January 2026

What It Means to Be Turing Complete (Part 2/3)

Why brains and AI are 'approximate Turing machines'

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  • 9th January 2026

What is a Turing Machine? (Part 1/3)

The elegant abstraction that defines what it means to compute

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  • 8th January 2026

Three Proofs by Diagonalization

A family of proofs that construct objects guaranteed to differ from every item in a list

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  • 6th January 2026

Russell's Paradox

A fundamental contradiction that shook the foundations of mathematics

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