Single Idea 10190

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism]

Full Idea

From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures.

Gist of Idea

From the axiomatic point of view, mathematics is a storehouse of abstract structures

Source

Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79

Book Reference

-: 'Bulletin of Symbolic Logic' [-], p.79


A Reaction

This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s.