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Ideas for 'fragments/reports', 'What Numbers Are' and 'A Dictionary of Philosophy'

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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812	Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
	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.
	From: Nicholas P. White (What Numbers Are [1974], IV)
	A reaction: [He adds Quine 1960:268 as a reference]