Combining Texts

All the ideas for 'Models and Reality', 'On 'Physics'' and 'Notes on Comments by Fardella'

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9 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]

7. Existence / A. Nature of Existence / 2. Types of Existence

16664

Everything that exists is either a substance or an accident [Albert of Saxony]

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

13161

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

9. Objects / E. Objects over Time / 6. Successive Things

16703

God could make a successive thing so that previous parts cease to exist [Albert of Saxony]

16699

Successive entities just need parts to succeed one another, without their existence [Albert of Saxony]