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Richard Dedekind’s theorem 66 states that there exists an infinite set. Its proof invokes such apparently nonmathematical notions as the thought-world and the self. This article discusses the content and context of Dedekind’s proof. It is suggested that Dedekind took the notion of the thought-world from Hermann Lotze. The influence of Kant and Bernard Bolzano on the proof is also discussed, and the reception of the proof in the mathematical and philosophical literature is covered in detail.
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| DOI | 10.1086/698660 |
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Citations of this work BETA
Dedekind and Wolffian Deductive Method.José Ferreirós & Abel Lassalle-Casanave - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-21.
Pasch's Empiricism as Methodological Structuralism.Dirk Schlimm - 2020 - In Erich Reck & Georg Schiemer (eds.), The Pre-History of Mathematical Structuralism. New York: Oxford University Press. pp. 80-105.
Vuillemin : Dedekind Initiateur de L’Algèbre de L’AlgèbreVuillemin : Dedekind at the Origins of the Algebra of Algebra.Hourya Benis-Sinaceur & Emmylou Haffner - 2020 - Philosophia Scientae 24:159-195.
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