How Godel Relates Platonism to Mathematics

被引:0
|
作者
Xing Taotao [1 ,2 ]
机构
[1] Peking Univ, Dept Philosophy, Beijing, Peoples R China
[2] Peking Univ, Inst Foreign Philosophy, Beijing, Peoples R China
关键词
Godel; Platonism; Foundations of mathematics; Concept; Set;
D O I
10.1080/14746700.2011.547013
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
It is well known that Godel takes his realistic world view as closely related to mathematics, especially to his own work in the foundations of mathematics. He reports, publicly as well as privately, that Platonism is fundamental to his major work in logic and set theory, and suggests that this philosophical position can be seen as a product of reflections on mathematics. These views of Godel, however, are often regarded as being insufficiently formulated or argued for. In this article, the author tries to consider some points which are related to the understanding of the Godelian mode of the interaction between mathematics and philosophy.
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页码:121 / 135
页数:15
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