如何有效地提高和改进反证法的教学，是摆在中学数学教师面前的一个重要课题。
The proof by contradiction is one of the most important methods of proving propositions in mathematics.
通过反证法，不存在一个程序，能像传说中的P一样运行。
By reductio, there cannot possibly be a procedure that acts like the mythical P.
议论文写作中，利用反证法常能很好地驳斥对方论点并树立自己的论点。
Using rebuttals of evidence in an argumentative paper can both attack the arguments of your opponents and support your own ones.
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