Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Foundations of Geometry' and 'Letters to Thomasius'

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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]
9. Objects / D. Essence of Objects / 1. Essences of Objects
13432 The essence of a circle is the equality of its radii [Leibniz]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
9425 Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
12696 Bodies are recreated in motion, and don't exist in intervening instants [Leibniz]