关于连续统假设2~(ω~(0))=ω_1的证伪凡数皆可数2~(ω~(0))=ω_1的证明

通过破连续统假设的基石即其中的基本定理与基本方法,得到主要结果:证伪"定理:ω1是基数";康托定理的证伪;对角线法不可取;从正面几个角度几种方法来证明连续统0,1]是可数的.得出关于连续统的一个新证明:2ω0=ω0.用进制法证明2ω0可数;用一一对应法证明0,1]实数区间的可数性.

The Falsity of Continuum Hypothesis2ω0 =ω1 The Mathematical Justification for All Numbers are Countable 2ω0 =ω0

By the falsity of “Theorem：ω1 is a cardinal”and the falsity of Cantor Theorem or Improper use of the diagonal method obtani the main results are the following：2ω0 equal toω1 （2ω0 =ω1 ） Cantor thought it was true, which means 0, 1] is uncountable.We call it Continuum Hypothesis .This article first rocks the cor-nerstone of Continuum Hypothesis , that is to say , the basic principle and method adopted in this hypothesis . Then to clarify the problem, several methods are used to prove that the continuum 0,1] is countable.A new mathematical proof of continuum：2ω0 =ω0;To prove 2ω0 is countable by using decimal method;To prove the countability of the set of real numbers 0,1] by using the rule of one-one correspondence.