Mathematics is not the only language in the book of nature

被引:17
作者
Nguyen, James [1 ,2 ]
Frigg, Roman [2 ,3 ]
机构
[1] Univ Notre Dame, Hist & Philosophy Sci Program, Notre Dame, IN 46556 USA
[2] London Sch Econ & Polit Sci LSE, Ctr Philosophy Nat & Social Sci, London, England
[3] London Sch Econ & Polit Sci LSE, Dept Philosophy Log & Sci Method, London, England
关键词
Application of mathematics; Structure; Mapping account; Representation; Isomorphism; Physical descriptions; HISTORICAL INTRODUCTION; REPRESENTATION;
D O I
10.1007/s11229-017-1526-5
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
How does mathematics apply to something non-mathematical? We distinguish between a general application problem and a special application problem. A critical examination of the answer that structural mapping accounts offer to the former problem leads us to identify a lacuna in these accounts: they have to presuppose that target systems are structured and yet leave this presupposition unexplained. We propose to fill this gap with an account that attributes structures to targets through structure generating descriptions. These descriptions are physical descriptions and so there is no such thing as a solely mathematical account of a target system.
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页码:5941 / 5962
页数:22
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