合二为一:不确定性量子和连续统假设
What is in One: Uncertainty quantum and Continuum Hypothesis
摘要:
讨论了测量的概念。数学中的计数过程也是一种度量过程,它需要一个基本单位.提出了规模化的思想。由测不准量子的无穷小组成的基本单位本身,在另一尺度上可以看作是无限的。这样无限、无穷小和整数“1“就统一了。提出了当乘法变换到更大的尺度时,乘法变为求和。经过尺度变换,证明了连续统假设的正确性。
英文摘要:
The concept of measurement is discussed. It is argued that counting process in mathematics is also measurement which requires a basic unit. The idea of scale is put forward. The basic unit itself, which are composed of the infinitesimal of uncertainty quantum, can be regarded as infinite in another scale. Thus infinite, infinitesimal and integer " 1 " are unified. It is proposed that multiplication changes to summation when it is transformed to a larger scale. The Continuum Hypothesis is proved to be correct after a scale transformation.
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