Ideas from 'Concepts and Counting' by Ian Rumfitt , by Theme Structure
[found in 'Aristotelian Society' (ed/tr -) [ ,]].
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6. Mathematics / A. Nature of Mathematics / 3. Numbers / p. Counting
A single object must not be counted twice, which needs knowledge of distinctness (negative identity)
6. Mathematics / B. Foundations for Mathematics / 4. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?'