B Curious
Start free
Mathematics

What a Proof Is

Why a million examples prove nothing, and what a proof buys instead

Pólya · Pythagoras · Gödel · 3 chapters · 11 min read

Why a million examples prove nothing, and what a proof buys instead.

Free to read: every chapter below is open

Certainty

  1. 01A Million Examples Prove NothingOn why a pattern that has never failed is still not knowledge.
  2. 02The Number That Broke a ReligionOn assuming the opposite, and the proof that fits on a napkin.
  3. 03The Sentence That Talks About ItselfOn a sentence that says it has no proof, and what that does and does not show.