Combining Texts

All the ideas for 'fragments/reports', 'Foundations of Geometry' and 'Go Figure: a Path through Fictionalism'

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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]
7. Existence / D. Theories of Reality / 7. Fictionalism
19494 Fictionalism allows that simulated beliefs may be tracking real facts [Yablo]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
19493 Governing possible worlds theory is the fiction that if something is possible, it happens in a world [Yablo]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
467 A virtue is a combination of intelligence, strength and luck [Ion]