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对数学实在论与反实在论之争的辩证考察
引用本文:祝杨军.对数学实在论与反实在论之争的辩证考察[J].临沂师范学院学报,2014(3):41-46.
作者姓名:祝杨军
作者单位:[1]首都师范大学招生就业处,北京100089; [2]中共中央党校哲学教研部,北京100091
摘    要:一直以来,作为数学中基础问题的实在论与反实在论之间的争论不绝于耳,历久弥新。它直接关系到数学是否具有客观性、确定性和真理性。通过系统梳理数学实在论和反实在论的基本观点及争论焦点,可以发现只有在马克思主义的视阈下,扬弃争论双方的理论内涵,才能正确看待争论的意义,并实现对数学本体论和认识论的科学、全面评判。

关 键 词:数学实在论  反实在论  马克思主义  辩证唯物主义

Dialectical Reflection on the Controversy between Realism and Anti-realism in Mathematics
ZHU Yang-jun.Dialectical Reflection on the Controversy between Realism and Anti-realism in Mathematics[J].Journal of Linyi Teachers' College,2014(3):41-46.
Authors:ZHU Yang-jun
Institution:ZHU Yang-jun (1Recruitment and Employment Office,Capital Normal University,Beijing 100089,China;2Philosophy Department,School of Central Committee of C.P.C.,Beijing 100091 ,China)
Abstract:As the basic issue in mathematics,the controversy between realism and anti-realism has been heard anywhere and become even newer as time goes by.It relates to the objectivity and determinacy and the truth character of mathematics directly.Giving a systematic account of the basic viewpoint and the dispute focus between Realism and Anti-realism in Mathematics,this paper thinks that the meaning of the controversy can be treated correctly and Realism and Anti-realism in Mathematics can be evaluated scientifically as well as thoroughly,only by the sublation of the theoretical connotation of the two parties in the visual threshold of Marxism.
Keywords:realism in mathematics  anti-realism  Marxism  dialectical materialism
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