Episode 2 of 2

Shift to Modern Axiomatic Method

When
1899
Where
Publication venue unspecified
Part of
Hilbert publishes Grundlagen der Geometrie

Hilbert's approach signaled a shift to the modern axiomatic method, emphasizing methodological value over substantive content; the 1899 edition included a 21st axiom.

Hilbert's approach signaled the shift to the modern axiomatic method, an ongoing development rather than a single datable occurrence. The value of Hilbert's Grundlagen was more methodological than substantive or pedagogical. Hilbert (1899) included a 21st axiom, alongside the standard set of 20 assumptions proposed for the foundation of Euclidean geometry.

Sources

  1. David Hilbert Wikipedia, revision of 2026-10-03
  2. Hilbert's axioms Wikipedia, revision of 2026-09-25

Machine-drafted from the cited Wikipedia passages and checked by a reviewing model, not by a human editor. Every passage cites the revision it was written from; dates and places follow those passages.