Combining Texts

All the ideas for 'Precis of 'Limits of Abstraction'', 'On Copernicanism and Relativity of Motion' and 'Mathematics, Science and Language'

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8 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 / 8. Subjective Truth
13157 Choose the true hypothesis, which is the most intelligible one [Leibniz]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119 Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
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 / D. Explanation / 3. Best Explanation / a. Best explanation
13158 The Copernican theory is right because it is the only one offering a good explanation [Leibniz]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10527 An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]