Combining Texts

All the ideas for 'Foundations of Geometry', 'Phenomenology of Perception' and 'Philosophical Theology'

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7 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]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
21862 Consciousness is based on 'I can', not on 'I think' [Merleau-Ponty]
12. Knowledge Sources / B. Perception / 5. Interpretation
20750 The mind does not unite perceptions, because they flow into one another [Merleau-Ponty]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
1451 Design is seen in the way ideas match the world, in the mechanisms of evolution, and in values [Tennant,FR, by PG]