On the Explanatory Role of Mathematics in Empirical Science

被引：102

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 50 条

[31] EXPERIMENTAL MATHEMATICS - THE ROLE OF COMPUTATION IN NONLINEAR SCIENCE
CAMPBELL, D
CRUTCHFIELD, J
FARMER, D
JEN, E
COMMUNICATIONS OF THE ACM, 1985, 28 (04) : 374 - 384
[32] The Role and Function of Quasi-empirical Methods in Mathematics
Michael de Villiers
Canadian Journal of Science, Mathematics and Technology Education, 2004, 4 (3) : 397 - 418
[33] Establishing an Explanatory Model for Mathematics Identity
Cribbs, Jennifer D.
Hazari, Zahra
Sonnert, Gerhard
Sadler, Philip M.
CHILD DEVELOPMENT, 2015, 86 (04) : 1048 - 1062
[34] Categorization and analysis of explanatory writing in mathematics
Craig, Tracy S.
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2011, 42 (07) : 867 - 878
[35] SCIENCE AS AN EXPLANATORY MODE
ROBERTS, DA
MAIN CURRENTS IN MODERN THOUGHT, 1970, 26 (05): : 131 - 139
[36] Mathematics in Science Fiction: Mathematics as Science Fiction
Fowler, David
WORLD LITERATURE TODAY, 2010, 84 (03) : 48 - 52
[37] The role of mathematics in computer science and software engineering education
Henderson, PB
ADVANCES IN COMPUTERS, VOL 65, 2005, 65 : 349 - 395
[38] A STEAM Experience in the Mathematics Classroom: The Role of a Science Cartoon
Marques, Daniela
Neto, Teresa B.
Guerra, Cecilia
Viseu, Floriano
Aires, Ana Paula
Mota, Marina
Ravara, Ascensao
EDUCATION SCIENCES, 2023, 13 (04):
[39] Between Science and Pop Culture: The Role of Mathematics in Films
Piotrowska, Alicja
SWIAT I SLOWO, 2021, 36 (01): : 91 - 98
[40] The role of mathematics in physics: Building knowledge and describing the empirical world
Doran, Y. J.
ONOMAZEIN, 2017, : 209 - 226

← 1 2 3 4 5 →