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Full Idea
Statements involving finite cardinalities can be made without treating numbers as objects at all, simply by using quantification and identity to define numerically definite quantifiers in the manner of Frege.
Gist of Idea
Finite cardinalities don't need numbers as objects; numerical quantifiers will do
Source
Nicholas P. White (What Numbers Are [1974], IV)
Book Ref
'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.95
A Reaction
[He adds Quine 1960:268 as a reference]