Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'The Theory of Transfinite Numbers' and 'Properties'

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7 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
8. Modes of Existence / B. Properties / 2. Need for Properties
18430 We accept properties because of type/tokens, reference, and quantification [Edwards]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
18432 Quineans say that predication is primitive and inexplicable [Edwards]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
18437 Resemblance nominalism requires a second entity to explain 'the rose is crimson' [Edwards]
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]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
18434 That a whole is prior to its parts ('priority monism') is a view gaining in support [Edwards]