Combining Texts

All the ideas for 'works', 'Foundations of Geometry' and 'fragments/reports'

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7 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
6782 Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
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 / D. Theories of Reality / 4. Anti-realism
22181 Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
6019 If someone squashed a horse to make a dog, something new would now exist [Mnesarchus]