The Babylonian mathematical tablet Plimpton 322, dated to 1800 BC

Math didn’t always demand proof

Ancient Egyptians and Babylonians used rules and measurements. The Greeks changed the game with proofs, and Euclid systematized them in Elements.

Mathematics: From Proof to Paradox

Two hands drawing a line with chalk on a blackboard using a triangle ruler

How proof works

Start with axioms and definitions, then deduce theorems by strict logic. No measurements—just pure reason.

Mathematics: From Proof to Paradox