Combining Texts

All the ideas for 'A Matter of Principle', 'Foundations of Geometry' and 'Letters to Varignon'

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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]
25. Social Practice / E. Policies / 4. Taxation
If we assess what people would buy in an imaginary insurance market, our taxes could copy it [Dworkin, by Kymlicka]
27. Natural Reality / G. Biology / 3. Evolution
Men are related to animals, which are related to plants, then to fossils, and then to the apparently inert [Leibniz]