### I

数学词汇

纵观历史，数学词汇古今大致通用。

Here is a booby-prize definition of mathematics:

Mathematics is the science whichuses easy words for hard ideas.

### II

数学中的普通词汇，有着特有的含义。如：Simple curve。

A simple curve is a closed curve which does not cross itself.

A French mathematician, Jordan, gave the fundamental theorem: every simple curve has one inside and one outside. That is, every simple curve divides the plane into two regions, one inside the curve, and one outside.

其它几个数学词汇的例子： function, turbine, circle, parhexagon, and radical, etc.

### III

数学概念中天文数字 googol 与 googolplex 的意义。 这些数字 was finite, not infinite.

有趣的是：

The name “googol” was invented by a child (Dr. Kasner’s nine-year-old nephew) who was asked to think up a name for a very big number, namely, 1 with a hundred zeros after it.

### IV

数学中的新名词， 如 mathescope，

The mathescope is not a physical instrument; it is a purely intellectual instrument, the ever-increasing insight which mathematics gives into the fairyland which lies beyond intuition and beyond imagination.

***

简单有趣的文章，希望有机会读全本。

* (GGB, Vol. 9, pp*. 121-136; originally chapter 1 of Mathematics and the Imagination)