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论数学摆脱本体论的过程
引用本文:李春泰.论数学摆脱本体论的过程[J].嘉应学院学报,2001,19(2):14-20.
作者姓名:李春泰
作者单位:嘉应大学政法系,广东梅州 514015
基金项目:国家哲学社会科学研究规划基金资助课题
摘    要:数学最初以本体为研究对象 ,而到了 1 9世纪末数学的对象变成了关系。本文通过第五公设导致非—欧几何以及相容性问题的解决 ,指出这一演变过程和可能世界的形态。

关 键 词:本体  第五公设  非欧几何学  相容性问题  可能世界
文章编号:1006-642X(2001)02-0014-07

On the Course That Mathematics Frees Itself from Ontology
LI Chun,tai.On the Course That Mathematics Frees Itself from Ontology[J].Journal of Jiaying University,2001,19(2):14-20.
Authors:LI Chun  tai
Abstract:Mathematics took the noumenon as its studying object in the early stage. But at the end of 19th century, mathematics' object became the relations. This paper points out the course of its development and the states of possible worlds by Euclid's fifth postulate leading non euclidean geormetries and solves the problem of consistency.
Keywords:noumenon  Euclid's fifth postulate  non  euclidean geometries  the problem of consistency  possible worlds  
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