Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Modes of Extension: comment on Fine' and 'Metaphysical conseqs of principle of reason'

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8 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 / C. Structure of Existence / 6. Fundamentals / c. Monads
All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
Any equivalence relation among similar things allows the creation of an abstractum [Simons]
Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]
26. Natural Theory / C. Causation / 3. Final causes
Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]