Combining Philosophers

All the ideas for St Peter, Geoffrey Hellman and Charles Leslie Stevenson

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7 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Moral words have an inherited power from expressing attitudes in emotional situations [Stevenson,CL]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
Always be ready to give reasons for your beliefs [Peter]