机构:
Univ Fed Santa Catarina UFSC, Area Epistemol & Log, PNPD CAPES, Florianopolis, SC, BrazilUniv Fed Santa Catarina UFSC, Area Epistemol & Log, PNPD CAPES, Florianopolis, SC, Brazil
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.
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
Ge, Jianquan
Ma, Hui
论文数: 0引用数: 0
h-index: 0
机构:
Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China