Combining Texts

All the ideas for 'Foundations of Geometry', 'Philippa Foot's Moral Thought' and 'Notes on John Wilkins'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Essence is the distinct thinkability of anything [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
Noncognitivism tries to avoid both naturalism and mysterious morality [Hacker-Wright]