Dedekind's structuralism: An interpretation and partial defense

被引:39
作者
Reck, EH [1 ]
机构
[1] Univ Calif Riverside, Dept Philosophy, Riverside, CA 92521 USA
关键词
D O I
10.1023/B:SYNT.0000004903.11236.91
中图分类号
N09 [自然科学史]; B [哲学、宗教];
学科分类号
01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;
摘要
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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页码:369 / 419
页数:51
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