Combining Texts

All the ideas for 'fragments/reports', 'Representation in Music' and 'What Numbers Are'

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6 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]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]

21. Aesthetics / B. Nature of Art / 4. Art as Expression

12167

Reference without predication is the characteristic of expression [Scruton]

21. Aesthetics / B. Nature of Art / 5. Art as Language

12166

If music refers to love, it contains no predication, so it is expression, not language [Scruton]

21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music

12168

Music is not representational, since thoughts about a subject are never essential to it [Scruton]