Roth's Theorem


One of the many ways to prove Roth's theorem

Quanta on Quantum Computation


An introduction to quantum complexity

Infinities and Infinitesimals


An introduction to non-standard analysis, specifically hyperreals

Goodstein's Theorem


A proof of Goodstein's Theorem

Solving Language and Solving AI


What insights can solving natural language provide while solving artificial intelligence?

The Halting Problem


Turing Machines, the Halting Problem and glimpses of computability theory

And you thought you knew infinity


As the title says, an exploration of the concept of infinity