Combining Texts

All the ideas for 'fragments/reports', 'The Theory of Transfinite Numbers' and 'Counterparts and Identity'

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8 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula

18823

To say there could have been people who don't exist, but deny those possible things, rejects Barcan [Stalnaker, by Rumfitt]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts

16409

Unlike Lewis, I defend an actualist version of counterpart theory [Stalnaker]

16411

If possible worlds really differ, I can't be in more than one at a time [Stalnaker]

16412

If counterparts exist strictly in one world only, this seems to be extreme invariant essentialism [Stalnaker]

19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics

16410

Extensional semantics has individuals and sets; modal semantics has intensions, functions of world to extension [Stalnaker]