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Ideas for 'works', 'Investigations in the Foundations of Set Theory I' and 'Spreading the Word'

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

13487	In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD]
	Full Idea: In Zermelo's set theory, the Burali-Forti Paradox becomes a proof that there is no set of all ordinals (so 'is an ordinal' has no extension).
	From: report of Ernst Zermelo (Investigations in the Foundations of Set Theory I [1908]) by William D. Hart - The Evolution of Logic 3