Dedekind's structuralism: An interpretation and partial defense

Synthese 137 (3):369 - 419 (2003)
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Abstract

Various contributors to recent philosophy of mathematics havetaken Richard Dedekind to be the founder of structuralismin mathematics. In this paper I examine whether Dedekind did, in fact, hold structuralist views and, insofar as that is the case, how they relate to the main contemporary variants. In addition, I argue that his writings contain philosophical insights that are worth reexamining and reviving. The discussion focusses on Dedekind''s classic essay Was sind und was sollen die Zahlen?, supplemented by evidence from Stetigkeit und irrationale Zahlen, his scientific correspondence, and his Nachlaß.

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Erich Reck
University of California, Riverside

References found in this work

S.Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin - 2015 - In Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin, Kant-Lexikon. Berlin: De Gruyter. pp. 1995-2243.
S. - 2008 - In A. P. Martinich, A Hobbes Dictionary. Wiley-Blackwell. pp. 269-298.
What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.

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