The history of mathematics

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.

Duration correction: Ongoing subjects previously drawn through a present/research cutoff are represented at their original starts, with no end asserted. Existing moments at those coordinates are reused; their attached cards retain the former duration’s notes, sources, tags and media. Bounded historical and coverage intervals remain durations.

100 moments · 20000-01-01T00:00:00Z BCE – 2020-01-01T00:00:00Z CE · by @athan · @athan

Foundations and modern mathematics

1900-01-01T00:00:00Z CE

era

Modern mathematics developed through new axiomatic foundations, abstract structures, formal logic and increasingly powerful interactions with computation. Hilbert’s programs, Gödel’s limitations, Turing’s models and later structural methods represent different strands rather than one single replacement for earlier mathematics. This entry introduces an ongoing historical theme. Its retained start anchor organizes the account, while no completed end is asserted. Formalization and computer assistance now coexist with many other modes of mathematical investigation; their presence does not mean that proof, abstraction or informal discovery ceased to change after one fixed date. **Previous duration notes (retained for context, not an active interval):** Hilbert, Gödel, Turing, abstraction and computers. **Timeline anchor:** 1 January 1900 CE. Original start anchor only; no end asserted.

Open Foundations and modern mathematics in the timeline