Full Idea
We can get a less ontologically perilous presentation of the semantics of the predicate calculus by using sets instead of concepts.
Gist of Idea
An ontologically secure semantics for predicate calculus relies on sets
Source
Vann McGee (Logical Consequence [2014], 4)
Book Reference
'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.36
A Reaction
The perilous versions rely on Fregean concepts, and notably Russell's 'concept that does not fall under itself'. The sets, of course, have to be ontologically secure, and so will involve the iterative conception, rather than naive set theory.
Related Idea
Idea 18752 'The concept "horse"' denotes a concept, yet seems also to denote an object [Frege, by McGee]