Combining Texts

All the ideas for 'Foundations of Geometry', 'talk' and 'Philosophical Analysis'

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6 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis aims at the structure of facts, which are needed to give a rationale to analysis [Urmson, by Schaffer,J]
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]
24. Political Theory / B. Nature of a State / 5. Culture
Culture is the struggle to agree what is normal [Gibson,A]