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Ideas for 'Concerning the Trinity', 'Rechnungsmethoden (dissertation)' and 'The Logic of Scientific Discovery'

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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

18256	Quantity is inconceivable without the idea of addition [Frege]
	Full Idea: There is so intimate a connection between the concepts of addition and of quantity that one cannot begin to grasp the latter without the former.
	From: Gottlob Frege (Rechnungsmethoden (dissertation) [1874], p.2), quoted by Michael Dummett - Frege philosophy of mathematics 22 'Quantit'
	A reaction: Frege offers good reasons for making cardinals prior to ordinals, though plenty of people disagree.