中文摘要：

数学虚构主义是＂数学实体不存在、数学中不存在真理、数学在世界的说明和科学事业中可有可无＂的一种典型的当代数学反实在论的解释。通过对数学虚构主义的批判性分析,得出＂数学虚构主义的反实在论规划整体上并不成功＂,＂数学在世界的说明和科学中是至关重要,而非可有可无＂、＂数学实体确实不存在＂和＂数学中存在真理,但其本质需进一步研究＂的结论。

英文摘要：

Fictionalism in mathematics is a typical interpretation of contemporary mathematical anti-realists, which holds mathematical entities do not exist, there is no mathematical truth, and mathematics is not indispensable for our explanation about real world and science enterprise. Through critically analyzing fictionalism in mathematics, this article concludes that the anti-realistic program of fictionalism in mathematics failed as a whole, mathematics is very important in our explanation of the world and science, mathematical entities really do not exist, and there are mathematical truths, but its nature needs further research.