The Non-existence of Extremal Objects of Set Theory and the Continuum Problem

被引：0

作者：

Antipov, Mikhail Valentinovich ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Novosibirsk, Russia

来源：

JOURNAL OF INFORMATICS AND MATHEMATICAL SCIENCES | 2011年 / 3卷 / 02期

关键词：

System of cognition; Infinity axiom; Restriction principle; Insufficiency of basis of fundamental directions; Non-existence and errors of mathematical constructions; Illusion of concepts of infinity; Continuum and cardinalities; First Hilbert problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that the classical extremal objects of set theory are nonexistent. It is also proved that the concepts of uncountability and continuum are erroneous and the first Hilbert problem is incorrect. The infinity axiom and all unlimited objects are unfounded as well.

引用

页码：155 / 176

页数：22

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