Dedekind's Structuralism: An Interpretation and Partial Defense
نویسنده
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