Combining Texts

All the ideas for 'works', 'Intro to 'Provenance of Pure Reason'' and 'Concepts and Counting'

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4 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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

13416

Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]

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]