Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Intuitionism: an Introduction' and 'Certain Physical Essays'

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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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation is generally to deduce it from something better known, which comes in degrees [Boyle]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
The best explanations get down to primary basics, but others go less deep [Boyle]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]