Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, David M. Rosenthal and Geoffrey Hellman

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7 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
8921 Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
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]
8922 Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
12887 A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
16. Persons / C. Self-Awareness / 1. Introspection
5692 Introspection is not perception, because there are no extra qualities apart from the mental events themselves [Rosenthal]