Combining Philosophers
Ideas for Augustin-Louis Cauchy, Anon (Kings) and Robert S. Wolf
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5 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
13530
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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 / A. Nature of Mathematics / 3. Nature of Numbers / n. Pi
17914
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He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18085
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Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18084
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When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
13518
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Modern mathematics has unified all of its objects within set theory [Wolf,RS]
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