On the specialness of special functions (the nonrandom effusions of the divine mathematician)

被引:10
作者
Batterman, Robert W. [1 ]
机构
[1] Univ Western Ontario, Dept Philosophy, Talbot Coll, London, ON N6A 3K7, Canada
关键词
D O I
10.1093/bjps/axm007
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 article attempts to address the problem of the applicability of mathematics in physics by considering the (narrower) question of what make the so-called special functions of mathematical physics special. It surveys a number of answers to this question and argues that neither simple pragmatic answers, nor purely mathematical classificatory schemes are sufficient. What is required is some connection between the world and the way investigators are forced to represent the world.
引用
收藏
页码:263 / 286
页数:24
相关论文
共 31 条
[1]  
Airy GB, 1838, Trans. Cambridge Philos. Soc., V6, P379
[2]  
[Anonymous], 1973, ASYMPTOTIC EXPANSION
[3]  
[Anonymous], OXFORD STUDIES PHILO
[4]  
Batterman R., 1997, STUD HIST PHILOS M P, V28, P395
[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]   Response to Belot's "Whose devil? which details?" [J].
Batterman, RW .
PHILOSOPHY OF SCIENCE, 2005, 72 (01) :154-163
[7]   Asymptotics and the role of minimal models [J].
Batterman, RW .
BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE, 2002, 53 (01) :21-38
[8]  
BATTERMAN RW, UNPUB FUNDAMENTAL PH
[9]  
BERRY M, 1990, CURR SCI INDIA, V59, P1175
[10]   Why are special functions special? [J].
Berry, M .
PHYSICS TODAY, 2001, 54 (04) :11-12