Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'Against the Professors (six books)' and 'The Theory of Transfinite Numbers'

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11 ideas

2. Reason / D. Definition / 2. Aims of Definition
10528 Definitions concern how we should speak, not how things are [Fine,K]
3. Truth / A. Truth Problems / 5. Truth Bearers
6021 It is only when we say a proposition that we speak truly or falsely [Sext.Empiricus]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
6020 'Man is a rational mortal animal' is equivalent to 'if something is a man, that thing is a rational mortal animal' [Sext.Empiricus]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
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 [Fine,K]
10530 Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
14. Science / A. Basis of Science / 1. Observation
6026 How can you investigate without some preconception of your object? [Sext.Empiricus]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
23. Ethics / B. Contract Ethics / 9. Contractualism
6032 Right actions, once done, are those with a reasonable justification [Sext.Empiricus]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
1517 The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature' [Sext.Empiricus]