Single Idea 21695

[catalogued under 4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets]

Full Idea

Each proposed revision of set theory is unnatural, because the natural scheme is the unrestricted one that the antinomies discredit.

Gist of Idea

The set scheme discredited by paradoxes is actually the most natural one

Source

Willard Quine (The Ways of Paradox [1961], p.16)

Book Reference

Quine,Willard: 'Ways of Paradox and other essays' [Harvard 1976], p.16


A Reaction

You can either takes this free-far-all version of set theory, and gradually restrain it for each specific problem, or start from scratch and build up in safe steps. The latter is (I think) the 'iterated' approach.