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Full Idea
The Löwenheim-Skolem Theorem says that a satisfiable first-order theory (in a countable language) has a countable model. ..I argue that this is not a logical antinomy, but close to one in philosophy of language.
Gist of Idea
The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language
Source
Hilary Putnam (Models and Reality [1977], p.421)
Book Ref
'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.421
A Reaction
See the rest of this paper for where he takes us on this.
13655 | The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro] |
9913 | The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam] |
9914 | It is unfashionable, but most mathematical intuitions come from nature [Putnam] |
9915 | V = L just says all sets are constructible [Putnam] |