Combining Texts

All the ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'Possible Worlds and Necessary A Posteriori'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
9. Objects / D. Essence of Objects / 9. Essence and Properties
How do we tell a table's being contingently plastic from its being essentially plastic? [Jackson]
An x is essentially F if it is F in every possible world in which it appears [Jackson]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Quine may have conflated de re and de dicto essentialism, but there is a real epistemological problem [Jackson]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
How can you show the necessity of an a posteriori necessity, if it might turn out to be false? [Jackson]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]