Combining Philosophers
Ideas for Archimedes, Jeremiah and Robert S. Wolf
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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An ordinal is an equivalence class of well-orderings, or a transitive set whose members are transitive [Wolf,RS]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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Modern mathematics has unified all of its objects within set theory [Wolf,RS]
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