ABSTRACT The problem of ‘applicability’ of mathematics to modern physical sciences has been labeled as an ‘unreasonably effective’ and unexplainable ‘miracle’ by prominent physicists such as Eugene Wigner and Paul Dirac. Philosophers of science from contending traditions have also contributed to the debates at large. While some have tried to trivialize the problem, others, in particular those with a phenomenological orientation, have attempted to eliminate this riddle, claiming that the two domains are ‘identical’. This paper, while challenging some of these interpretations, proposes a solution from a dialectical materialist position. Drawing on Evald Ilyenkov’s concept of the ‘ideal’ as the objectivized form of human activity in social nature, it is suggested that the two realms are necessarily interconnected as schemata of human activity which aim for a highly quantified conceptualization of reality.

中文翻译：

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“理想”的匹配：数学与物理科学互联的历史必然性

摘要 数学在现代物理科学中的“适用性”问题已被尤金·维格纳 (Eugene Wigner) 和保罗·狄拉克 (Paul Dirac) 等著名物理学家标记为“非常有效”和无法解释的“奇迹”。来自相互竞争的传统的科学哲学家也对整个辩论做出了贡献。虽然有些人试图将这个问题简单化，但其他人，特别是那些具有现象学倾向的人，试图消除这个谜团，声称这两个领域是“相同的”。本文在挑战其中一些解释的同时，从辩证唯物主义的立场提出了一个解决方案。借鉴埃瓦尔德·伊利恩科夫 (Evald Ilyenkov) 的“理想”概念，即社会自然中人类活动的客观化形式，