Combining Texts

All the ideas for 'Mathematics without Numbers', 'Has Philosophy Lost Contact with People?' and 'works'

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6 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Inspiration and social improvement need wisdom, but not professional philosophy [Quine]
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
For a good theory of the world, we must focus on our flabby foundational vocabulary [Quine]
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]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
Turing showed that logical rules can be specified computationally and mechanically [Turing, by Rey]