Combining Texts

All the ideas for 'Papancasudani', 'Foundations of Geometry' and 'How there could be a private language'

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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]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
We must have expressive power BEFORE we learn language [Fodor]
25. Social Practice / F. Life Issues / 1. Causing Death
Human killing is worse if the victim is virtuous [Buddhaghosa]