Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Concepts and Counting' and 'De Mundo Praesenti'

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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]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
12714 The substantial form is the principle of action or the primitive force of acting [Leibniz]
9. Objects / D. Essence of Objects / 1. Essences of Objects
12743 A true being must (unlike a chain) have united parts, with a substantial form as its subject [Leibniz]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]