Number and measure: Hermann von Helmholtz at the crossroads of mathematics, physics, and psychology

被引：26
作者：
Darrigol, O [1 ]
机构：
[1] CNRS, Rehseis, F-75013 Paris, France
来源：
STUDIES IN HISTORY AND PHILOSOPHY OF SCIENCE | 2003年 / 34A卷 / 03期
关键词：
Helmholtz; measurement; arithmetic; P. Du Bois-Reymond; H. and R. Grassmann; J. von Kries;
D O I：
10.1016/S0039-3681(03)00043-8
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：
In 1887 Helmholtz discussed the foundations of measurement in science as a last contribution to his philosophy of knowledge. This essay borrowed from earlier debates on the foundations of mathematics (Grassmann / Du Bois), on the possibility of quantitative psychology (Fechner / Kries, Wundt / Zeller), and on the meaning of temperature measurement (Maxwell, Mach). Late nineteenth-century scrutinisers of the foundations of mathematics (Dedekind, Cantor, Frege, Russell) made little of Helmholtz's essay. Yet it inspired two mathematicians with an eye on physics (Poincare and Holder), and a few philosopher-physicists (Mach, Duhem, Campbell). The aim of the present paper is to situate Helmholtz's contribution in this complex array of nineteenth-century philosophies of number, quantity, and measurement. (C) 2003 Published by Elsevier Ltd.
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收藏
页码：515 / 573
页数：59
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