Combining Texts

All the ideas for 'Foundations of Geometry', 'Emile: treatise on education' and 'Resemblance Nominalism: a solution to universals'

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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]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
18436 Entities are truthmakers for their resemblances, so no extra entities or 'resemblances' are needed [Rodriquez-Pereyra]
23. Ethics / F. Existentialism / 6. Authentic Self
20759 Feelings are prior to intelligence; we should be content to live with our simplest feelings [Rousseau]
24. Political Theory / B. Nature of a State / 4. Citizenship
19854 We all owe labour in return for our keep, and every idle citizen is a thief [Rousseau]