论数的概念与毕达哥拉斯数的哲学

在米利都自然哲学之后 ,希腊哲学转向寻求超感性的纯思想是有其必然性的 ,奥菲斯教的思想内容正是第一个超感性的纯思想 :存在概念。而数的概念是以存在概念为惟一前提的。因此说 ,毕达哥拉斯的奥菲斯教信仰对他的哲学必然起了重大作用。纯数学产生于毕达哥拉斯 ,且只有希腊人有纯数学 ,原因就在这里

Concept of Number & Pythagoras's Philosophy of Number

This article firstly proves that after Miletus Philosophy Greek Philosophy inevitably made a great effort to seek the pure thoughts, and proves that the content of Orphicism is the Conception of Being. The article secondly gives a discussion to the Concept of Number and its relation to the Concept of Being, and proves that the Concept of Number takes Concept of Being as its only prerequisite, so we can say that Orphicism must has a great significance to Pythagoras' Philosophy of Number. This is the reason why Pythagoras had an ability to create the pure mathematics, and why the pure mathematics was created only in ancient Greece.