Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Universals' and 'Models and Reality'

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

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8 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]

8. Modes of Existence / D. Universals / 1. Universals

8495	The distinction between particulars and universals is a mistake made because of language [Ramsey]

8493	We could make universals collections of particulars, or particulars collections of their qualities [Ramsey]

8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism

8494	Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey]

9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined

19347

Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]