What can the philosophy of mathematics learn from the history of mathematics?

被引：1

作者：

Larvor, Brendan ^{[1
]}

机构：

[1] Univ Hertfordshire, Sch Humanities, Hatfield AL10 9AB, Herts, England

来源：

ERKENNTNIS | 2008年 / 68卷 / 03期

关键词：

Mathematical Practice; Temporal Element; Rational Reconstruction; Philosophical Interest; Explanatory Appeal;

D O I：

10.1007/s10670-008-9107-0

中图分类号：

B [哲学、宗教];

学科分类号：

01 ; 0101 ;

摘要：

This article canvasses five senses in which one might introduce an historical element into the philosophy of mathematics: 1. The temporal dimension of logic; 2. Explanatory Appeal to Context rather than to General Principles; 3. Heraclitean Flux; 4. All history is the History of Thought; and 5. History is Non-Judgmental. It concludes by adapting Bernard Williams' distinction between 'history of philosophy' and 'history of ideas' to argue that the philosophy of mathematics is unavoidably historical, but need not and must not merge with historiography.

引用

页码：393 / 407

页数：15