Combining Texts

All the ideas for '67: Platonic Questions', 'Beitrage' and 'Models and Reality'

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

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6 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L

13655

The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]

9915	V = L just says all sets are constructible [Putnam]

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

9913	The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

9914	It is unfashionable, but most mathematical intuitions come from nature [Putnam]

15. Nature of Minds / A. Nature of Mind / 2. Psuche

5960	When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]

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

9145	We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]