Combining Texts

All the ideas for 'fragments/reports', 'Foundations of Geometry' and 'Merely Possible Propositions'

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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]
9. Objects / A. Existence of Objects / 4. Impossible objects
14617 Predicates can't apply to what doesn't exist [Stalnaker]
19. Language / D. Propositions / 3. Concrete Propositions
14616 A 'Russellian proposition' is an ordered sequence of individual, properties and relations [Stalnaker]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]