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All the ideas for 'Precis of 'Limits of Abstraction'', 'On the Foundations of Logic and Arithmetic' and 'On the Basis of Morality'

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9 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 / 4. Mathematical Empiricism / c. Against mathematical empiricism
The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic already contains some arithmetic, so the two must be developed together [Hilbert]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Reason can be vicious, and great crimes have to be rational [Schopenhauer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Man's three basic ethical incentives are egoism, malice and compassion [Schopenhauer]
25. Social Practice / F. Life Issues / 6. Animal Rights
Philosophy treats animals as exploitable things, ignoring the significance of their lives [Schopenhauer]