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Single Idea 17462

[filed under theme 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure ]

Full Idea

One requirement for a successful count is that double counting should be avoided: a single object should not be counted twice. ...but that is to make a knowledgeable judgement of distinctness - to resolve a question of identity in the negative.

Gist of Idea

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

Source

Ian Rumfitt (Concepts and Counting [2002], III)

Book Ref

-: 'Aristotelian Society' [], p.56


A Reaction

He also notes later (p.65) that you must count all and only the right things.


The 2 ideas from 'Concepts and Counting'

Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]