Combining Texts

All the ideas for 'Foundations of Geometry', 'Librium de interpretatione editio secunda' and 'Against Method'

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7 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
6601 Science rules the globe because of colonising power, not inherent rationality [Feyerabend]
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]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
14665 We can call the quality of Plato 'Platonity', and say it is a quality which only he possesses [Boethius]
14. Science / B. Scientific Theories / 6. Theory Holism
2561 For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty]