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Ideas for 'fragments/reports', 'The Absurd' and 'Grundlagen (Foundations of Theory of Manifolds)'

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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911	Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
	Full Idea: Ordinal numbers are generated by two principles: each ordinal has an immediate successor, and each unending sequence has an ordinal number as its limit (that is, an ordinal that is next after such a sequence).
	From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite III.4