Combining Texts

All the ideas for 'Foundations of Geometry', 'Librium de interpretatione editio secunda' and 'Contemporary Efficient Causation: Aristotelian themes'

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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 / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
We can call the quality of Plato 'Platonity', and say it is a quality which only he possesses [Boethius]
26. Natural Theory / C. Causation / 1. Causation
Causation interests us because we want to explain change [Mumford]