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Ideas for 'The Philosophy of Philosophy', 'Concepts and Counting' and 'Universal Arithmetick'

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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

17461

Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]