中文摘要：

“抽象的数学世界存在吗”是当代数学本体论领域持久争论的两大核心问题之一。实在论主张数学为我们描述了一种抽象的实在世界；反实在论则认为数学仅仅是一种有用的虚构和方便的工具而已。语境论在阐明传统解释存在缺陷的基础上，对数学的实在性问题给出了新的说明。以作为世界观的语境论为基点，得出：抽象的数学世界不存在，数学是表征而非描述物质世界。

英文摘要：

＂ Does abstract mathematical world exist？＂ is one cal ontology field. Realism holds that mathematics describes of the two central problems in contemporary mathematian abstract real world. Anti - realism argues that mathematics is just a useful fiction and a convenient tool. On the basis of illustrating the drawbacks of traditional interpretation, contextualism attempts to give a new account of the problem of the reality of mathematics. It derives from contextualism as a worldview that abstract mathematical world doesn＇ t exist and physical world is represented rather than described by mathematics.