The Finite and the Infinite in Frege's Grundgesetze der Arithmetik

In Matthias Schirn (ed.), The Philosophy of mathematics today. New York: Clarendon Press (1998)
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Abstract

Discusses Frege's formal definitions and characterizations of infinite and finite sets. Speculates that Frege might have discovered the "oddity" in Dedekind's famous proof that all infinite sets are Dedekind infinite and, in doing so, stumbled across an axiom of countable choice.

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Richard Kimberly Heck
Brown University

Citations of this work

Cardinality, Counting, and Equinumerosity.Richard G. Heck - 2000 - Notre Dame Journal of Formal Logic 41 (3):187-209.
Identifying finite cardinal abstracts.Sean C. Ebels-Duggan - 2020 - Philosophical Studies 178 (5):1603-1630.
Logicism Revisited.Otávio Bueno - 2001 - Principia 5 (1-2):99-124.

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