Combining Texts

All the ideas for 'Characteristics', 'What Numbers Are' and 'Meaning and Necessity'

expand these ideas     |    start again     |     specify just one area for these texts

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4 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]

19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics

11968

The intension of a sentence is the set of all possible worlds in which it is true [Carnap, by Kaplan]

21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude

18545

The disinterested attitude of the judge is the hallmark of a judgement of beauty [Shaftesbury, by Scruton]