Combining Texts

All the ideas for 'works', 'Epistemic Operators' and 'Review of Bob Hale's 'Abstract Objects''

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4 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
We can't presume that all interesting concepts can be analysed [Williamson]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Platonism claims that some true assertions have singular terms denoting abstractions, so abstractions exist [Williamson]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
You have knowledge if you can rule out all the relevant alternatives to what you believe [Dretske, by DeRose]