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Ideas for 'fragments/reports', 'Principia Mathematica' and 'Dynamic Logics'

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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers

18152	Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock]
	Full Idea: Although Russell takes numbers to be certain classes, his 'no-class' theory then eliminates all mention of classes in favour of the 'propositional functions' that define them; and in the case of the numbers these just are the numerical quantifiers.
	From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by David Bostock - Philosophy of Mathematics 9.B.4