Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Scattered Objects' and 'Types and Ontology'

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7 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
7. Existence / E. Categories / 1. Categories
Categories can't overlap; they are either disjoint, or inclusive [Sommers, by Westerhoff]
9. Objects / B. Unity of Objects / 3. Unity Problems / a. Scattered objects
Clearly a pipe can survive being taken apart [Cartwright,R]
Bodies don't becomes scattered by losing small or minor parts [Cartwright,R]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]