Combining Texts

All the ideas for 'Foundations of Geometry', 'Contributions of Philosophy (On Appropriation)' and 'The Beautiful in Music'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
15586 When philosophy makes itself intelligible, it commits suicide [Heidegger]
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]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
20344 Music is not an expressive art, because it expresses no familiar emotions [Hanslick, by Wollheim]