超实数(Hyperreal number)是一个包含实数以及无穷大和无穷小的域，它们的绝对值分别大于和小于任何正实数。
16- 我漫步走过一个超实数园，来到一个数字瀑布前。
16 – I wandered past a garden of hyperreal numbers and came to a numberfall.
提出一个新观点：超实数具有变与不变的对立统一性；
We put forward a new idea: hyper-real numbers have the unity of opposites between motion and rest.
研究了超实数域上两种有用的拓扑—Q-拓扑和S-拓扑．证明了以下结果：空间（R，Q）是完全不连通的；
Two kinds of useful topologies, i. e. Q -topology and S -topology on the field of hyperreal numbers are studied. The following results are proved: The space ( tR, Q) is totally disconnected;
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