Ideas from 'Models and Reality' by Hilary Putnam [1977], by Theme Structure

[found in 'Philosophy of Mathematics: readings (2nd)' (ed/tr Benacerraf/Putnam) [CUP 1983,0-521-29648-x]].

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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
V = L just says all sets are constructible
The L÷wenheim-Skolem theorems show that whether all sets are constructible is indeterminate
5. Theory of Logic / J. Model Theory in Logic / 3. L÷wenheim-Skolem Theorems
The L÷wenheim-Skolem Theorem is close to an antinomy in philosophy of language
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
It is unfashionable, but most mathematical intuitions come from nature