Combining Texts

All the ideas for 'Actions', 'Of Civil Liberty' and 'Foundations of Geometry'

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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]
20. Action / A. Definition of Action / 5. Action as Trying
Bodily movements are not actions, which are really the tryings within bodily movement [Hornsby, by Stout,R]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Modern monarchies are (like republics) rule by law, rather than by men [Hume]