1.Ⅳ The paper solves some historical mathematics problems, for example: 1. Pythagoras, Democritus and Plato put forward successively the concepts of mathematical monad and atom. They made hypothesis that there are indivisible continuums in mathematics. We introduce now potential numbers to solve the hypothesis of Pythagoras, Democritus and Plato;
Ⅳ、本文对一些历史上的数学问题作了回答,如:1、Pythagoras,Democritus和Plato先后提出了数学上的单子论或原子论,猜想数学中存在不可分的连续体,现在我们引入了潜在数,它们是一个个不可分的数学上的连续的实体,这样圆满地肯定了他们的猜想。
3.After having sorted out the Western formal research tradition starting from Pythagoras, the article pointed out the position difference between the Western and Oriental formal problems, and further raised the emancipating of the“form”out of the“content”, so as to enable the”form”to set its own“form”necessity and feasibility.
在梳理了自毕达哥拉斯开始的西方形式研究传统后,本文指出了东、西方在形式问题上的立场差异,并进一步提出了将“形式”从“内容”中解放出来、使“形式”自立为“形式”的必要性和可行性。
4.Combining with the idea of rule of law, this essay demonstrates the framework of law supervision, its characteristic and rationality, and transplants the Pythagoras theorem and factorization theorem from mathematics field to the decentralization theory.
摘要本文结合法治理念来论证法律监督权的结构、特徵及其合理性，并将数学中的“毕达哥拉斯定理”或分解因式原理移植到分权理论中来。
5.Pythagoras was a bold thinker who had the idea that all things were numbers.He was the founder of scientific mathematics.
毕达哥拉斯是个大胆的思想家，是数学学科的奠基人，他认为“数”是万物之源。
6.Pythagoras Shit is a number.
毕达戈拉斯:大便是数。
7.Pythagoras and Pythagorean
毕达哥拉和毕达哥拉学派
8.The hypothesis of the concordance of number, put forward by the Pythagoras School, not only has important denotations for the posterity in respect to science research, but also has everlasting contributions towards the development of both the western classic science and modern science as being a kind of belief and pursuit.
毕达哥拉斯学派提出的“数的和谐性”假说不仅对后人在科学研究方面有重要意义 ,同时它也是一种信仰和追求 ,对西方的古代科学乃至现代科学的进步有着不可磨灭的贡献。
9.And the part of the justice ideology in natural philosophic period mainly discusses the ideology of Pythagoras and Heracleitus.
其次在自然哲学时期的正义思想中主要探讨了毕达哥拉斯和赫拉克利特的正义思想。
10.In the development of the ancient Greek philosophy history, Not that this theory is a transition thought as Elea school, but that is a rising thought system after Pythagoras and before Herakleitos.
这种学说在古希腊哲学发展史上，并不是作为爱利亚学派思想先驱而存在的一种过渡性理论，而是在赫拉克利特之前、继毕达哥拉斯之后又一新兴的思想体系。
