Combining Texts

All the ideas for 'Leibniz: Guide for the Perplexed', 'Foundations of Geometry' and '64: Gryllus - on Rationality in Animals'

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8 ideas

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]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Being manly and brave is the result of convention, not of human nature [Plutarch]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Animals don't value pleasure, as they cease sexual intercourse after impregnation [Plutarch]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Animals have not been led into homosexuality, because they value pleasure very little [Plutarch]