Combining Texts

All the ideas for 'Foundations of Geometry', 'Truth-maker Realism: response to Gregory' and 'Punctual and segmentive Hopi verbs'

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6 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
Maybe truth-making is an unanalysable primitive, but we can specify principles for it [Smith,B]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Language arranges sensory experience to form a world-order [Whorf]