Letter | Published:

A Proof that any Aggregate can be Well-ordered

Naturevolume 101page304 (1918) | Download Citation

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Abstract

IN my letter printed in NATURE for April 4, 1918 (vol. ci., p. 84), the class of direct continuations used for well-ordering should have been stated to be “complete”—that is to say, no chain of M outside the class is such that every member of this class is a segment of this new chain. The actual construction of a complete class of direct continuations can be carried out in a perfectly unique manner throughout in terms of the possible chains of M, without assuming that there is any chain of M that exhausts M itself. This construction is given in detail in a paper which wilt shortly appear in the Comptes rendus, and the detail of the consequences of the existence thus proved has already appeared in the Comptes rendus for April 2.

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  1. The Bourne, Basingbourne Road, Fleet, Hants

    • PHILIP E. B. JOURDAIN

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https://doi.org/10.1038/101304c0

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