论“无穷”

On Infinitude

以在"无穷"领域中和认知理论中新的研究成果为基础,从本体与形式论角度,在不同层面上再次对人类科学现有传统无穷理论体系中所存在的认知缺陷进行分析,得到"自古以来正是对‘无穷’概念在‘本体-形式’上的认知缺陷导致了具体的‘性质-载体’的认知缺陷,这些错误与缺陷决定了现有人类科学中必然存在互相矛盾的两种错误‘无穷’概念(实无穷和潜无穷)和与之对应的实无穷理论和潜无穷理论,并直接导致了与‘无穷’密切相关的极限论、数量体系和集合论中存在严重的本体与形式论方面的错误与缺陷,产生了三大悬而未决的悖论家族"明确的结论。两千五百多年来人们在解决这些错误与缺陷的思路是错误的,人类科学需要新的无穷理论体系。

Based on the new research fruits in the field of ＂infinitude＂ and cognitive theory,the defects in different levels of the traditional infinitude theory system are analyzed again from the angel of ＂ontology—form＂.A conclusion is drown： it is the cognitive defects on the ＂ontology—form＂ of infinitude concept since ancient time that result in the relating cognitive defects of ＂nature—carrier＂ and create two contradictory concepts of infinitude（potential infinitude and actual infinitude） as well as their related potential infinite theory and actual infinite theory,thus directly producing the chain ＂ontology—form＂ defects in the relating limit theory,number system and set theory with three suspending paradox families.The ideas for solving the defects in traditional infinitude theory system over 2500 years are wrong and a new infinite theory system is needed.