Combining Texts
Ideas for
'Foundations of Geometry', 'Whitehead and the Rise of Modern Logic' and 'Reasons and Persons'
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5 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 / 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 / 6. Logicism / b. Type theory
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21557
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Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]
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