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'fragments/reports', 'Remarks on axiomatised set theory' and 'Foundations of Geometry'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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13472
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Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
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6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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17880
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Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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9546
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Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
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18742
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Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
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18217
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Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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17881
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Mathematician want performable operations, not propositions about objects [Skolem]
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