测不准原则与第二次数学危机.doc
测不准原则与第二次数学危机

——兼评曹俊云、杨键辉的著作

摘要   物体按照某一瞬时速度运动的时段长是不是0呢？这是一个只能根据测不准原则进行回答的问题。在测不准原则下的数轴，只能是与实数一一对应的数轴，而不是与超实数一一对应的数轴。因此，含有实无穷小数的超实数域的提出没有实践根据；非标准分析不可能成为未来的数学分析。

关键词  测不准原则；近似点；理想点；真值；测定值；近似数轴；理想数轴   中图分类号 O172.1

Principle of uncertainty to measure and the second mathematical crisis

Abstract: Is 0 or not is 0 of that length of time segment of instantaneous of which body movement according on some one instantaneous velocity? This is a question of which answer only by principle of uncertainty to measure. By the principle of uncertainty to measure, the number axis only is that number axis of possess one to one correspondence to real number, and is not the hyper real number axis of which possess one to one correspondence to hyper real number. Therefore, the hyper real number have not basis to practice; and the non-standard analysis could not become the mathematical analysis in future.

Keywords: principle of uncertainty to measure; approximation point; ideal point; true value; measured value; approximation number axis; ideal number axis

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