Combining Texts

All the ideas for 'Ethical Studies', 'works' and 'Foundations of Geometry'

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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]
14. Science / D. Explanation / 1. Explanation / d. Explaining people
7082 Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
22155 We are disenchanted because we rely on science, which ignores values [Weber, by Boulter]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
5655 Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]