Gödel's incompleteness theorems
- logic
- european
Any consistent system strong enough for arithmetic has true statements it can't prove, and can't prove its own consistency.
From the Ishango bone to formalized proofs: arithmetic, geometry, algebra, analysis, probability, logic and topology across Babylonian, Egyptian, Greek, Indian, Chinese, Islamic and European mathematics and beyond. Moments are tagged by area (and colored by it) and by civilization; eras are shown as spans. Ancient dates are approximate and say so. Summaries are our own; each moment links to its Wikipedia articles.
99 moments · 20000-01-01T00:00:00Z BCE – 2020-01-01T00:00:00Z CE · by @athan · @athan
Any consistent system strong enough for arithmetic has true statements it can't prove, and can't prove its own consistency.