more from Řystein Linnebo

Single Idea 14083

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

Full Idea

Against extreme views that all mathematical objects depend on the structures to which they belong, or that none do, I defend a compromise view, that structuralists are right about algebraic objects (roughly), but anti-structuralists are right about sets.

Gist of Idea

Structuralism is right about algebra, but wrong about sets

Source

Řystein Linnebo (Structuralism and the Notion of Dependence [2008], Intro)

Book Reference

-: 'The Philosophical Quarterly' [-], p.59