The Mystery of Applied Mathematics?: A Case Study in Mathematical Development Involving the Fractional Derivative

被引：2
|
作者：
Smith, Sheldon R. [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Philosophy, Los Angeles, CA 90024 USA
来源：
PHILOSOPHIA MATHEMATICA | 2014年 / 22卷 / 01期
关键词：
D O I：
10.1093/philmat/nkt026
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：
I discuss the applicability of mathematics via a detailed case study involving a family of mathematical concepts known as 'fractional derivatives.' Certain formulations of the mystery of applied mathematics would lead one to believe that there ought to be a mystery about the applicability of fractional derivatives. I argue, however, that there is no clear mystery about their applicability. Thus, via this case study, I think that one can come to see more clearly why certain formulations of the mystery of applied mathematics are not convincing.
引用
收藏
页码：35 / 69
页数：35
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