Combining Texts

All the ideas for 'Foundations of Geometry', 'The Evolution of Physics' and 'Time and Free Will'

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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]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
Experienced time means no two mental moments are ever alike [Bergson]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
The concept of a field gradually replaced the substances in explaining relations between charges [Einstein/Infeld]