Combining Texts

All the ideas for 'works', 'Mathematics without Numbers' and 'Letters to Oldenburg'

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8 ideas

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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
Whether nature is beautiful or orderly is entirely in relation to human imagination [Spinoza]
28. God / A. Divine Nature / 3. Divine Perfections
God is a being with infinite attributes, each of them infinite or perfect [Spinoza]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
Trying to prove God's existence through miracles is proving the obscure by the more obscure [Spinoza]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]