Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Concepts and Counting' and 'On Euclidean Geometry'

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4 ideas

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14235

Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

16886

The truth of an axiom must be independently recognisable [Frege]

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) [Rumfitt]

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]