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

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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]