Ideas from 'Concepts and Counting' by Ian Rumfitt [2002], by Theme Structure

[found in 'Aristotelian Society' (ed/tr -) [ ,]].

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

17462

A single object must not be counted twice, which needs knowledge of distinctness (negative identity)

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?'