Combining Texts

All the ideas for 'Universals and Particulars', 'works' and 'What Numbers Are'

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

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4 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

13536

Skolem did not believe in the existence of uncountable sets [Skolem]

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]

8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication

4442	Most thinkers now reject self-predication (whiteness is NOT white) so there is no Third Man problem [Armstrong]