The forgotten individual: diagrammatic reasoning in mathematics

被引：7
|
作者：
Shin, Sun-Joo [1 ]
机构：
[1] Yale Univ, Dept Philosophy, New Haven, CT 06520 USA
来源：
SYNTHESE | 2012年 / 186卷 / 01期
关键词：
Diagrammatic reasoning; Token fallacy; Formalization; Generalization; Individualization;
D O I：
10.1007/s11229-012-0075-1
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：
Parallelism has been drawn between modes of representation and problem-sloving processes: Diagrams are more useful for brainstorming while symbolic representation is more welcomed in a formal proof. The paper gets to the root of this clear-cut dualistic picture and argues that the strength of diagrammatic reasoning in the brainstorming process does not have to be abandoned at the stage of proof, but instead should be appreciated and could be preserved in mathematical proofs.
引用
收藏
页码：149 / 168
页数：20
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