牟宗三的数学哲学述评  

A Commentary to MOU Zong-san's Mathematical Philosophy

作　　者：张晚林[1] 

机构地区：[1]湖南科技大学哲学系,湖南湘潭411201

出　　处：《自然辩证法研究》2009年第8期97-102,共6页Studies in Dialectics of Nature

基　　金：湖南省普通高等学校哲学社会科学重点研究基地"中国古代文学与社会文化研究基地"(湘教通[2004]284)

摘　　要：牟宗三扭转了罗素的数论,而把"数"定义为"纯理申展之步位符号"。由此,"知性"即为数的先验之"体",这使得数学从罗素的约定主义走向了牟氏的先验主义,这样,数学命题就既是分析的也是综和的。分析的,表明数学有其先验的必然性;综和的,表明其有直觉的构造性。Mou Zong-san turns round Russell＇s number theory and defines number as the stage symbol of reason to show itself. Then reason becomes the priori noumenon of number, this make mathematics from Russell＇s agreement principle to Mou Zong-san＇s Prior principle, so mathematical propositions are both analytical and synthetical. The former shows the necessity of mathematics; the later shows its intuitional construetivity.

关 键 词：牟宗三 罗素 类 纯理 步位 分析的 综合 

分 类 号：O1-0[理学—数学] G633.6[理学—基础数学]