Combining Philosophers

All the ideas for Anaxarchus, Geoffrey Hellman and William Shakespeare

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10 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
For there was never yet philosopher/ That could endure the toothache patiently [Shakespeare]
2. Reason / A. Nature of Reason / 1. On Reason
Good reasons must give way to better [Shakespeare]
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]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
20. Action / B. Preliminaries of Action / 2. Willed Action / b. Volitionism
The cause of my action is in my will [Shakespeare]
25. Social Practice / E. Policies / 1. War / b. Justice in war
Our obedience to the king erases any crimes we commit for him [Shakespeare]