Combining Texts

All the ideas for 'Foundations of Geometry', 'fragments/reports' and 'Persons, Character and Morality'

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8 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]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
5996 Critolaus redefined Aristotle's moral aim as fulfilment instead of happiness [Critolaus, by White,SA]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
23279 It is important that a person can change their character, and not just be successive 'selves' [Williams,B]
23280 Kantians have an poor account of individuals, and insist on impartiality, because they ignore character [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
23278 For utilitarians states of affairs are what have value, not matter who produced them [Williams,B]