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## proof by contradiction

• 反证法：一种论证方式，通过假设某命题成立，然后推理出明显矛盾的结果，从而得出原假设不成立的结论。

### 网络释义专业释义英英释义

[数] 反证法

归谬法

...所要求证的状况的反面只有一种情形，只要断定该种状况不成立就可以得证，这种反证法又叫做「归谬法proof by contradiction）；相反，如果所要求证的状况的反面不止一种，则必须一一把那些状况驳倒，才能断定所要求证者为真，这种反证法叫做「穷举法（pr...

proof f by contradiction 归谬法 ; 反证法

• 归谬法
反证法

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#### Proof by contradiction

• abstract: In logic, proof by contradiction is a form of proof that establishes the truth or validity of a proposition by showing that the proposition's being false would imply a contradiction.

### 双语例句权威例句

• The proof by contradiction is one of the most important methods of proving propositions in mathematics.

如何有效地提高和改进反证法教学，摆在中学数学教师面前的一个重要课题。

• The proof is by contradiction. Suppose each real number could be given its own room.

这样论证自相矛盾的。

• It is time for the Court to construct a straight-forward reductio ad absurdum proof by logical contradiction to uncover the fallacies and inconsistencies in its past reasoning, which have led to a constitutional contradiction.

FORBES: The Paradox of Rights 'Granted' Us by Government

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