Combining Texts

All the ideas for 'reports', 'Foundations of Geometry' and 'The Case for Contextualism'

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11 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]
10. Modality / A. Necessity / 8. Transcendental Necessity
3016 Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
19513 A contextualist coherentist will say that how strongly a justification must cohere depends on context [DeRose]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
19514 Classical invariantism combines fixed truth-conditions with variable assertability standards [DeRose]
19515 We can make contextualism more precise, by specifying the discrimination needed each time [DeRose]
19510 In some contexts there is little more to knowledge than true belief. [DeRose]
19516 Contextualists worry about scepticism, but they should focus on the use of 'know' in ordinary speech [DeRose]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
19511 If contextualism is about knowledge attribution, rather than knowledge, then it is philosophy of language [DeRose]