Single Idea 12329

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism]

Full Idea

If mathematics is a logic of the possible, then questions of existence are not intrinsic to it (as they are for the Platonist).

Gist of Idea

If mathematics is a logic of the possible, then questions of existence are not intrinsic to it

Source

Alain Badiou (Briefings on Existence [1998], 7)

Book Reference

Badiou,Alain: 'Briefings on Existence', ed/tr. Madarsz,Norman [SUNY 2006], p.103


A Reaction

See also Idea 12328. I file this to connect it with Hellman's modal (and nominalist) version of structuralism. Could it be that mathematics and modal logic are identical?

Related Idea

Idea 12328 Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou]