摘要
柏拉图主义者和实在论者把数学知识设想为理念世界的一部分,人的认识作用被仅仅局限在发现的范围之内。然而,数学知识除了其客观性之外,还具有不可忽视的主观性品质。这种主观性显现在主体内在性和主体间性这两个维度上。前者主要凸显了个体化主体的知识建构特征,而后者与数学共同体所因循的范式紧密相关。这两个维度之间存在着复杂多样的互动和关联,数学知识的广泛空间在这一范式张力中得以展现。
Platonist see the mathematical knowledge as a part of the world of ideas, and then the role of human was limited in the scope of discovery. Apart from its objectivity, mathematical knowledge has subjective to some extent. This subjective embodies in two dimensions such as subject internal- ity and intersubjective. The former behaves in the personal construction of mathematical knowledge, the latter was related with the paradigm of mathe- matical community. There exist complex and multiple interaction and correlation ,the wide space of mathematical knowledge was thus manifested in this paradigm tension.
出处
《自然辩证法研究》
CSSCI
北大核心
2015年第10期114-119,共6页
Studies in Dialectics of Nature
关键词
主体内在性
主体间性
分形
选择公理
范式张力
subject-internality
intersubjectivity
fractal
axiom of choice
paradigm tension
