HOW MATHEMATICS CAN MAKE A DIFFERENCE

被引:0
|
作者
Baron, Sam [1 ]
Colyvan, Mark [2 ]
Ripley, David [3 ]
机构
[1] Univ Western Australia, Nedlands, WA 6009, Australia
[2] Univ Sydney, Sydney, NSW 2006, Australia
[3] Univ Connecticut, Storrs, CT USA
来源
PHILOSOPHERS IMPRINT | 2017年 / 17卷 / 03期
基金
澳大利亚研究理事会;
关键词
INCONSISTENT MODELS; EXPLANATION; NOMINALISM; SCIENCE;
D O I
暂无
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
Standard approaches to counterfactuals in the philosophy of explanation are geared toward causal explanation. We show how to extend the counterfactual theory of explanation to non-causal cases, involving extra-mathematical explanation: the explanation of physical facts ( in part) by mathematical facts. Using a structural-equation framework, we model impossible perturbations to mathematics and the resulting differences made to physical explananda in two important cases of extra-mathematical explanation. We then address some objections to our approach.
引用
收藏
页码:1 / 19
页数:19
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