Combining Texts

All the ideas for 'Aristotle and Descartes on Matter', 'Foundations of Geometry' and 'Moral Luck'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
13472 Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9546 Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
18742 Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
18217 Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
13. Knowledge Criteria / C. External Justification / 5. Controlling Beliefs
3271 We can't control our own beliefs [Nagel]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
3272 Moral luck can arise in character, preconditions, actual circumstances, and outcome [Nagel]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
19399 Prime matter is nothing when it is at rest [Leibniz]