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Mathematical Logic Quarterly
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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The Induction Axiom and the Axiom of Choice

The induction axiom and the axiom of choice
Authors: Germansky, B.;

The Induction Axiom and the Axiom of Choice

Abstract

Verf. schlägt eine Modifikation des Peanoschen Axiomensystems für die natürlichen Zahlen vor, bei der statt des einwertigen Funktionsbegriffs, wie er bei der Nachfolgefunktion auftritt, der Begriff der mehrwertigen Funktion gebraucht wird, so daß es z. B. zu einer Zahl mehrere Nachfolger gibt. Die Peanoschen Axiome werden entsprechend verändert. Mit Hilfe des Auswahlaxioms läßt sich dann das System der natürlichen Zahlen im üblichen Sinne begründen. Welchen Vorteil dieser doch kompliziertere Weg haben soll, darüber läßt sich der Verf. nicht aus, und es ist auch dem Ref. unbekannt geblieben.

Keywords

Axiom of choice and related propositions, mathematical logic

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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