论文部分内容阅读
古希腊人曾把数看作是位置不定的点的集合,甚至毕达哥拉斯也说过“数是万物之源”的那样毫无道理的话。这样,就不得不说,认为宇宙是由点构成的所谓原子论,也可以归结到古希腊思想。若把数当作是点的集合,那么,以多少个点表示数的问题,最终可以变成用看得见的图形来表示数的问题。例如,数3可以用3个点来表示,也可用等分成三个单位长度来表示。如图1-1。然而古希腊人更关心的是什么数能够排列成正三角形、正方形等美丽的图形。毕达哥拉斯曾用小石头,如图1-2那样,从上往下1个、2个、3个、4个地依次
The ancient Greeks used the number as a collection of points of uncertainty, and even Pythagoras also said that there was no such unreasonable remark as “the source of all things.” In this way, we have to say that the universe is a so-called atomic theory formed by points and can be attributed to the ancient Greek thought. If the number is taken as a collection of points, then the question of how many points are represented can eventually become a matter of expressing the number in visible figures. For example, the number 3 can be expressed in 3 points or divided into three unit lengths. Figure 1-1. However, the ancient Greeks are more concerned with what number can be arranged into a triangle, square and other beautiful graphics. Pythagoras used to use small stones, as shown in Figure 1-2, from top to bottom 1, 2, 3, 4 in order