Combining Texts

All the ideas for 'Mathematics without Numbers', 'Laudatio: Prof Ruth Barcan Marcus' and 'Ambitious, yet modest, Metaphysics'

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7 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Esoteric metaphysics aims to be top science, investigating ultimate reality [Hofweber]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Science has discovered properties of things, so there are properties - so who needs metaphysics? [Hofweber]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
If a property is possible, there is something which can have it [Williamson]
5. Theory of Logic / G. Quantification / 1. Quantification
The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) [Hofweber]
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]