more from Willard Quine

Single Idea 21717

[catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility]

Full Idea

Quine charges that the axiom of Reducibility both undoes the effect of the ramification, and commits the theory to a platonist view of propositional functions (which is a theory of sets, once use/mention confusions are cleared up).

Gist of Idea

Reducibility undermines type ramification, and is committed to the existence of functions

Source

report of Willard Quine (Set Theory and its Logic [1963], p.249-58) by Bernard Linsky - Russell's Metaphysical Logic 6.1

Book Reference

Linsky,Bernard: 'Russell's Metaphysical Logic' [CSLI 1999], p.92