摘要
该文是文献[5]的续篇,由于文献[1]之2.5论证指出:当代极限论没有给Berkeley悖论留下任何有关0/0一类悖论生成余地或隙缝.(文献[1]P26),文献[5]在确认潜无限(poi)与实无限(aci)在ZFC框架内是无中介矛盾对立面(p,-p)前提下,论证结论是当代极限论所留给Berkeley悖论有关0/0一类悖论的,远不止一个隙缝,而是一个大窟窿.但文献[1]之2.5与2.6还有诸多针对文献[2]之6.7.3的质疑,本文旨在质疑文献[1]对文献[2]的每一条质疑,结论是文献[1]针对文献[2]之任何一条相关的质疑都是没有根据的.并在逻辑数学层面上对文献[1]中所谓"双相无限"概念略作评论.
This paper is the sequel of Reference [ 5 ] . As demonstrated in 2.5 of Reference [ 1 ] that there is no any room for a class of 0/0 paradoxes generated or apertured, such as the Berkeley Paradox in the limit theory, Reference [ 5 ] recognizes that there is no intermediary conflicts （p, -p） between the potential infinity （poi） and the actual infinity （aci） in ZFC. On this premise, it has proved there are more paradoxes, such as 0/0 in the limit theory. However, there are a lot of doubts proposed in 2.5 and 2.6 of Reference [ 1 ] concerning 6.7.3 of Reference [ 2 ] . This paper is to question each doubt proposed in Reference [ 1 ] for questioning Reference [ 2 ]. It is concluded that there is no basis for any of the questions of Reference [ 1 ] for Reference [ 2 ]. Meanwhile, the paper makes some comments on the concept of ＂two-phase infinity＂ in Reference [ 1 ] at the Mathematical logic level.
出处
《南京晓庄学院学报》
2011年第6期13-17,共5页
Journal of Nanjing Xiaozhuang University
关键词
潜无限
实无限
极限论
近代公理集合论
中介逻辑
potential infinity
actual infinity
limit theory
modem axiomatic set theory
medium logic
