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 can only judge possibility by 'possible' models
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