Full Idea
The idea that set theory must simply be identified with first-order Zermelo-Fraenkel is surprisingly widespread. ...The first-order axiomatic theory of sets is clearly inadequate as a foundation of mathematics.
Gist of Idea
Set theory is not just first-order ZF, because that is inadequate for mathematics
Source
John Mayberry (What Required for Foundation for Maths? [1994], p.412-2)
Book Reference
'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.412
A Reaction
[He is agreeing with a quotation from Skolem].