Combining Texts

All the ideas for 'Particulars in Particular Clothing', 'Notes on Comments by Fardella' and 'What Numbers Are'

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

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5 ideas

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

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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 / B. Properties / 13. Tropes / a. Nature of tropes

18431

Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards]

9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual

13160

To exist and be understood, a multitude must first be reduced to a unity [Leibniz]

9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance

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Substances are everywhere in matter, like points in a line [Leibniz]