Euclidean diagrams and mathematical justification

被引:0
|
作者
Dal Magro, Tamires [1 ]
机构
[1] Univ Fed Santa Catarina UFSC, Area Epistemol & Log, PNPD CAPES, Florianopolis, SC, Brazil
来源
DISPUTATIO-PHILOSOPHICAL RESEARCH BULLETIN | 2020年 / 9卷 / 14期
关键词
Philosophy of Mathematical Practice; Proof; Euclid; Diagrammatical Reasoning; PHILOSOPHY; GEOMETRY;
D O I
暂无
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
This work presents a historical overview of the problems dealt with by three major conceptions in the philosophy of mathematics: traditional, maverick and conciliatory. In the second and third sections, I focus on showcasing (1) how the use of diagrams in mathematics, and more specifically in Euclidean geometry, was strongly criticized by authors aligned with the first conception and (2) the impact of those criticisms in the re-evaluation and revindication of the legitimacy of the use of diagrams in Euclid by authors aligned with the last two conceptions.
引用
收藏
页码:73 / 102
页数:30
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