Combining Texts

All the ideas for 'Actions', 'Metaphysical conseqs of principle of reason' and 'Foundations of Geometry'

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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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
5060 All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]
20. Action / A. Definition of Action / 5. Action as Trying
20082 Bodily movements are not actions, which are really the tryings within bodily movement [Hornsby, by Stout,R]
26. Natural Theory / C. Causation / 3. Final causes
5059 Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]