Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'Mathematics without Numbers' and 'Deriving Kripkean Claims with Abstract Objects'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

8. Modes of Existence / D. Universals / 1. Universals

15034

Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta

10558

Abstract objects are actually constituted by the properties by which we conceive them [Zalta]

18. Thought / E. Abstraction / 2. Abstracta by Selection

10557

Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]