Combining Texts

All the ideas for 'Mathematics without Numbers', 'Aristotle on Essence and Explanation' and 'The Evolution of Physics'

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9 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
11993 Jones may cease to exist without some simple property, but that doesn't make it essential [Kung]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
11997 A property may belong essentially to one thing and contingently to another [Kung]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
11992 Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
11995 Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung]
11996 Some non-essential properties may explain more than essential-but-peripheral ones do [Kung]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
18202 The concept of a field gradually replaced the substances in explaining relations between charges [Einstein/Infeld]