Single Idea 10052

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry]

Full Idea

Russell sought what was common to Euclidean and non-Euclidean systems, found it in the axioms of projective geometry, and took a Kantian view of them.

Clarification

A 'Kantian' view relies on intuition

Gist of Idea

Geometry is united by the intuitive axioms of projective geometry

Source

report of Bertrand Russell (Foundations of Geometry [1897]) by Alan Musgrave - Logicism Revisited §4

Book Reference

-: 'British Soc for the Philosophy of Science' [-], p.109


A Reaction

Russell's work just preceded Hilbert's famous book. Tarski later produced some logical axioms for geometry.