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Ideas of Nicholas P. White, by Text

[American, b.1942, University of Michigan, then at University of California, at Irvine.]

1974	What Numbers Are

IV	p.95	17812	Finite cardinalities don't need numbers as objects; numerical quantifiers will do
			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]

V	p.96	17813	Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers
			Full Idea: The Löwenheim-Skolem theorem tells us that any theory with a true interpretation has a model in the natural numbers.
			From: Nicholas P. White (What Numbers Are [1974], V)