Combining Texts

All the ideas for 'fragments/reports', 'Set Theory and its Logic' and 'Concepts and Counting'

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

21717

Reducibility undermines type ramification, and is committed to the existence of functions [Quine, by Linsky,B]

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]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]