Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'What Does It All Mean?'

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4 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
19. Language / A. Nature of Meaning / 6. Meaning as Use
The meaning of a word contains all its possible uses as well as its actual ones [Nagel]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]