Combining Texts

All the ideas for 'Foundations of Geometry', 'Brains and Behaviour' and 'On the Very Idea of a Third Dogma'

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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 / B. Behaviourism / 4. Behaviourism Critique
Superactors and superspartans count against behaviourism [Putnam, by Searle]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Translation is too flimsy a notion to support theories of cultural incommensurability [Quine]