Ideas from 'Mathematics without Numbers' by Geoffrey Hellman [1989], by Theme Structure

green numbers give full details    |     back to texts     |     expand these ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro]