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

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