Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Concepts and Counting' and 'The Language of Morals'

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8 ideas

2. Reason / D. Definition / 2. Aims of Definition
10528 Definitions concern how we should speak, not how things are [Fine,K]
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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
10529 If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
10530 Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16050 The goodness of a picture supervenes on the picture; duplicates must be equally good [Hare]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
2855 In primary evaluative words like 'ought' prescription is constant but description can vary [Hare, by Hooker,B]