Combining Texts

All the ideas for 'fragments/reports', 'Sets, Aggregates and Numbers' and 'Counterparts and Identity'

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11 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]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17818

How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]

17822

Nothing is 'intrinsically' numbered [Yourgrau]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

17817

Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory

17815

We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]

17821

You can ask all sorts of numerical questions about any one given set [Yourgrau]

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]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]