Single Idea 13655

[catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L]

Full Idea

Putnam claims that the Löwenheim-Skolem theorems indicate that there is no 'fact of the matter' whether all sets are constructible.

Gist of Idea

The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate

Source

report of Hilary Putnam (Models and Reality [1977]) by Stewart Shapiro - Foundations without Foundationalism

Book Reference

Shapiro,Stewart: 'Foundations without Foundationalism' [OUP 1991], p.109


A Reaction

[He refers to the 4th and 5th pages of Putnam's article] Shapiro offers (p.109) a critique of Putnam's proposal.