中文摘要：

不可或缺性论证在强调数学与科学之整体性的基础上,试图借助数学在科学中的不可或缺性证实数学实体的存在性,成为求解数学真理困境的巧妙方案。然而,不可或缺性不能等同于经验确证,数学实在与否并不在于数学在科学中是否或缺,二者分属于不同的问题域。本文在阐明不可或缺性论证的基本形式及其对数学真理困境的求解策略的基础上,进一步指出了该论证的缺陷、得出了其对求解数学真理困境的有益启示,即要想突破数学真理困境,就需要洞察数学与科学的之间的关联性,揭示二者一致的实在本性,使数学能真正地具有与科学同等的本体论和认识论地位。

英文摘要：

The indispensability argument tries to confirm the existence of mathematical entity by clarifying the indispensability of mathematics in science.However,the indispensability could not be equal to confirmation in experience.Whether mathematical entity exists doesn＇t rely on whether mathematics is indispensible in science,there are big differences between the above two.On the bases of analysis of the theoretical foundations of the indispensability argument and its solution to the dilemma of mathematical truth,this article clarifies the problems of this solution and points out that we need to explore the correlations between mathematics and science to reveal the consistent nature of reality of these two.By doing so,it is truly fair for mathematics to have the same ontological and epistemological situation with science,which is illuminated by the indispensability argument solution to the dilemma of mathematical truth.