从文化史的角度看近代微积分效用的神秘性

The Mystique of the Modern Calculus Utility in View of the Culture History

近代微积分效用的神秘性不仅是数学自身原因造成的,更为重要的是文化秩序调整的产物。启示于柏拉图主义,近代文化通过逻辑审美特征来为数学和理性知识辩护。数学逻辑审美特征的虚幻性造成了近代文化内在根基的虚幻性和外在合法性的悖论性质,使得不严密的近代微积分处于尴尬境地,导致了人们对其效用合法性的怀疑与不理解。

The mystique of the modern calculus utility partly caused by the mathematics itself is essentially the result of the change of the cultural system.Inspired by platonism,the modern culture justifies the mathematics and rational knowledge with the aesthetic character of the logic.The illusion of mathematics' aesthetic character of the logic results in the paradox nature of the modern culture,such puts the unstrict modern calculus in an awkward position,so the validity of the modern calculus utility becomes suspectable and unreasonable.