对数学实在论与反实在论之争的辩证考察

Dialectical Reflection on the Controversy between Realism and Anti-realism in Mathematics

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。

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.