关于Pythagoras,Democritus,Plato和Galileo等的不可分割的连续统的存在性的短的证明

自公元前六世纪毕达哥拉斯开始,不少数学家和物理学家,如德谟克利特,柏拉图和伽利略等,都猜想数学中存在不可分割的连续统,一直未获得严格论证。在本文中对此给出一个短的严格证明,用的基础知识较少,又易于鉴别和推广。本文共介绍了四个不可分割的连续统,其中和是标准的,和p是非标准的。存在的实际意义是预示在我们生存的空间的最外层是不可分的巨大的虚空,它有惊人的吞吐能力,其尺寸大到不能以任何一个实数表示,但可以用表示。

A Short Proof for the Existence of the Indivisible Continuums of Pythagorean, Democritus, Plato and Galileo

Since the sixth century B.C. , beginning with Pythagoras, many mathematicians and physicists, Democritus, Plato, Galileo and others, made hypothesis that there are indivisible continuums in mathematics, but they did not give any rigorous proof. Now we give a short rigorous proof on this issue, which uses less foundation. That is easily to be identified and to be more widely understood. The paper introduces four indivisible continuums, where Ω and Π are standard, O and p are nonstandard. A practical sense of the results relative to Π is to reveal the fact that the most out part of our living space is an indivisible vast empty space, which has wonderful ability of taking in or sending out. Its dimension is too large to be expressed by any real number, however it may be expressed by Π.