Combining Texts

All the ideas for 'Foundations of Geometry', 'What Does It All Mean?' and 'What is 'naturalized epistemology'?'

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6 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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
8825 It seems impossible to logically deduce physical knowledge from indubitable sense data [Kim]
19. Language / A. Nature of Meaning / 6. Meaning as Use
4001 The meaning of a word contains all its possible uses as well as its actual ones [Nagel]