A Formalist Philosophy of Mathematics Part I: Arithmetic

被引：4
|
作者：
Gabbay, Michael [1 ]
机构：
[1] Kings Coll London, Dept Philosophy, London WC2R 2LS, England
来源：
STUDIA LOGICA | 2010年 / 96卷 / 02期
关键词：
Formalism; Philosophy of Mathematics; Truth Theory; Fictionalism;
D O I：
10.1007/s11225-010-9283-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper I present a formalist philosophy mathematics and apply it directly to Arithmetic. I propose that formalists concentrate on presenting compositional truth theories for mathematical languages that ultimately depend on formal methods. I argue that this proposal occupies a lush middle ground between traditional formalism, fictionalism, logicism and realism.
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页码：219 / 238
页数：20
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