Combining Texts

All the ideas for 'The Architecture of Mathematics', 'Essence and Potentiality' and 'Three-Dimensionalism v Four-Dimensionalism'

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13 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Essence is a thing's necessities, but what about its possibilities (which may not be realised)? [Vetter]
9. Objects / B. Unity of Objects / 3. Unity Problems / a. Scattered objects
If we accept scattered objects such as archipelagos, why not think of cars that way? [Hawthorne]
9. Objects / D. Essence of Objects / 4. Essence as Definition
Real definition fits abstracta, but not individual concrete objects like Socrates [Vetter]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Modal accounts make essence less mysterious, by basing them on the clearer necessity [Vetter]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
Four-dimensionalists say instantaneous objects are more fundamental than long-lived ones [Hawthorne]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is even more deeply empirical than Kripke has argued [Vetter]
10. Modality / A. Necessity / 11. Denial of Necessity
A modal can reverse meaning if the context is seen differently, so maybe context is all? [Hawthorne]
10. Modality / B. Possibility / 1. Possibility
Possible worlds allow us to talk about degrees of possibility [Vetter]
Maybe possibility is constituted by potentiality [Vetter]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
The apparently metaphysically possible may only be epistemically possible [Vetter]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Closeness of worlds should be determined by the intrinsic nature of relevant objects [Vetter]
27. Natural Reality / C. Space / 6. Space-Time
Modern metaphysicians tend to think space-time points are more fundamental than space-time regions [Hawthorne]