Combining Texts

All the ideas for 'fragments/reports', 'Models and Reality' and 'works'

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

---

7 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 / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

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 / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

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

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

28. God / C. Attitudes to God / 3. Deism

1558	Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]