Ideas from 'Precis of 'Limits of Abstraction'' by Kit Fine [2005], by Theme Structure

[found in 'Philosophical Studies' (ed/tr -) [- ,]].

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2. Reason / D. Definition / 2. Aims of Definition

10528

Definitions concern how we should speak, not how things are

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

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa

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

10527

An abstraction principle should not 'inflate', producing more abstractions than objects