more from E Reck / M Price

Single Idea 10171

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

Full Idea

Relativist Structuralism must first assume the existence of an infinite set, otherwise there would be no model to pick, and arithmetical terms would have no reference.

Gist of Idea

The existence of an infinite set is assumed by Relativist Structuralism


E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], 4)

A Reaction

See Idea 10169 for Relativist Structuralism. They point out that ZFC has an Axiom of Infinity.

Related Idea

Idea 10169 Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]