Combining Philosophers

All the ideas for Goodman,N/Quine,W, Amos and Geoffrey Hellman

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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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
We renounce all abstract entities [Goodman/Quine]
29. Religion / B. Monotheistic Religion / 2. Judaism
Amos was the first prophet to emphasise justice and compassion [Amos, by Armstrong,K]