Full Idea
Kripke proposes that the substitutional quantifier is not a replacement for, or in competition with, the standard interpretation.
Clarification
The 'standard interpretation' is that quantifiers refer to objects
Gist of Idea
The substitutional quantifier is not in competition with the standard interpretation
Source
report of Saul A. Kripke (A Problem about Substitutional Quantification? [1976]) by Ruth Barcan Marcus - Nominalism and Substitutional Quantifiers p.165
Book Reference
'Philosophy of Logic: an anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.165