Combining Texts

All the ideas for 'reports', 'Concepts and Counting' and 'Modes of Extension: comment on Fine'

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5 ideas

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]

10. Modality / A. Necessity / 8. Transcendental Necessity

3016	Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

18883

Any equivalence relation among similar things allows the creation of an abstractum [Simons]

18884

Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]