On the Explanatory Role of Mathematics in Empirical Science

被引：103

作者：

Batterman, Robert W. ^{[1
]}

机构：

[1] Univ Western Ontario, Dept Philosophy, Talbot Coll, London, ON N6A 3K7, Canada

来源：

BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE | 2010年 / 61卷 / 01期

关键词：

DEVIL;

D O I：

10.1093/bjps/axp018

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：

This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. A new approach to the applicability of mathematics is proposed.

引用

页码：1 / 25

页数：25

共 26 条

[1] Are there genuine mathematical explanations of physical phenomena? [J].

Baker, A .

MIND, 2005, 114 (454) :223-238

[2]

BANGU S, THERMODYNAMICS UNPUB

[3]

Batterman R.W., 2002, DEVIL DETAILS ASYMPT

[4] On the specialness of special functions (the nonrandom effusions of the divine mathematician) [J].

Batterman, Robert W. .

BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE, 2007, 58 (02) :263-286

[5] Critical phenomena and breaking drops: Infinite idealizations in physics [J].

Batterman, RW .

STUDIES IN HISTORY AND PHILOSOPHY OF MODERN PHYSICS, 2005, 36B (02) :225-244

[6] Multiple realizability and universality [J].

Batterman, RW .

BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE, 2000, 51 (01) :115-145

[7] Response to Belot's "Whose devil? which details?" [J].

Batterman, RW .

PHILOSOPHY OF SCIENCE, 2005, 72 (01) :154-163

[8]

BATTERMAN RW, SYNTHESE IN PRESS

[9] Whose devil? Which details? [J].

Belot, G .

PHILOSOPHY OF SCIENCE, 2005, 72 (01) :128-153

[10]

BUENO O, NOUS IN PRESS

← 1 2 3 →