论“无穷事物”的定量认知(Ⅹ)——量子数学产生的原因及其相关基础

On the Quantitative Cognitions to “Infinite Things”(Ⅹ)——The cause of quantum mathematics and its related foundation

为了解决以"实无穷—潜无穷"为基础的现有经典无穷理论体系基础理论中所存在的致命缺陷,我们对"科学抽象物—科学抽象物载体(抽象无穷概念—抽象无穷概念载体)"的认知理论开展科学的、系统性研究.这决定了以"科学抽象概念及其载体"为基础的新认知理论体系、以"抽象无穷概念及其载体"为基础的新无穷理论体系的产生,也决定了与新构建的、系统的"科学抽象物载体理论"密切相关的"量子数学"的产生,开辟了一个崭新的"无穷数学事物"定量认知领域,也为探索量子数学产生的原因及其相关基础奠定了理论指导.

In order to solve the fatal defects in the basic theory of the existing classical infinite theory system based on“actual infinite-potential infinite”, we carry out scientific and systematic researches on the cognitive theory of“scientific abstract objects-the carriers of scientific abstract objects(abstract infinite concept-carriers of abstract infinite concept)”. It determines the emergence of a new cognitive theory system based on“scientific abstract concept and its carrier” and a new infinite theory system based on“abstract concept of infinite and its carriers”. This also determines the emergence of“quantum mathematics”which is closely related to the newly constructed and systematic“scientific abstract carrier theory”. A new quantitative cognitive field of“infinite mathematical things”has been opened up. This paper explores the reasons for the generation of quantum mathematics and its related foundations.