Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Letter to Weber' 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 / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

18244

I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]

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

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

26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory

9425	Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]