Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Review of Bob Hale's 'Abstract Objects'' and 'Commentary on Euclid's 'Elements''

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis

9184	We can't presume that all interesting concepts can be analysed [Williamson]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

9183	Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

13165

Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]

18. Thought / E. Abstraction / 1. Abstract Thought

9569	The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]