Dedekind's Structuralism: An Interpretation and Partial Defense

نویسنده

  • Erich H. Reck
چکیده

Various contributors to recent philosophy of mathematics have taken Richard Dedekind to be the founder of structuralism in 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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عنوان ژورنال:
  • Synthese

دوره 137  شماره 

صفحات  -

تاریخ انتشار 2003