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'fragments/reports', 'On the Introduction of Transfinite Numbers' and 'De Corpore (Elements, First Section)'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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13489
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Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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17258
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If we just say one, one, one, one, we don't know where we have got to [Hobbes]
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12336
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A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
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18179
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For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
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18180
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Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
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15925
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Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
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