Combining Texts

All the ideas for 'fragments/reports', 'Deriving Kripkean Claims with Abstract Objects' and 'What Numbers Are'

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5 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

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

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta

10558

Abstract objects are actually constituted by the properties by which we conceive them [Zalta]

18. Thought / E. Abstraction / 2. Abstracta by Selection

10557

Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]

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

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