Combining Texts

All the ideas for 'Reply to Sixth Objections', 'Foundations of Geometry' and 'Logic [1897]'

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8 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]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
3644 Two things being joined together doesn't prove they are the same [Descartes]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
11052 Psychological logic can't distinguish justification from causes of a belief [Frege]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
3621 Only judgement decides which of our senses are reliable [Descartes]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
3637 Ideas in God's mind only have value if he makes it so [Descartes]