more from Michèle Friend

Single Idea 8676

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics]

Full Idea

Successful competing founding disciplines in mathematics include: the various set theories, type theory, category theory, model theory and topology.

Gist of Idea

Is mathematics based on sets, types, categories, models or topology?


Michèle Friend (Introducing the Philosophy of Mathematics [2007], 2.3)

Book Reference

Friend,Michèle: 'Introducing the Philosophy of Mathematics' [Acumen 2007], p.29

A Reaction

Or none of the above? Set theories are very popular. Type theory is, apparently, discredited. Shapiro has a version of structuralism based on model theory (which sound promising). Topology is the one that intrigues me...