counterexample
中文翻译:
名词:反例
形容词:反例的
词语辨析:
counterexample指的是通过反证法证明某个命题不成立时所提供的例子。它主要用于数学和逻辑推理中。与之相似的词语有"refutation"(驳斥)和"counterargument"(反驳)。
词汇扩充:
counterexample的动词形式为"counterexemplify"。
近义词:
refutation, counterargument
反义词:
proof, confirmation
柯林斯词典:
counterexample (noun): an example that disproves a statement or theorem
牛津词典:
counterexample (noun): an instance used to disprove a general statement or law
用法:
1. The mathematician provided a counterexample to show that the proposed theorem was incorrect. (数学家提供了一个反例来证明所提出的定理是错误的。)
2. The lawyer presented a counterexample to challenge the witness's testimony. (律师提出了一个反例来质疑证人的证词。)
3. The student used a counterexample to refute the professor's argument. (学生用一个反例来驳斥教授的论点。)
例句:
- He provided a counterexample to prove his point. (他提供了一个反例来证明他的观点。)
- The counterexample demonstrated the flaw in the theory. (这个反例展示了这个理论的缺陷。)
- She used a counterexample to challenge the validity of the claim. (她用一个反例来质疑这个主张的有效性。)
- The counterexample exposed the fallacy in their argument. (这个反例揭示了他们论证中的谬误。)
- His counterexample effectively disproved the hypothesis. (他的反例有效地证明了这个假设是错误的。)
- The counterexample provided a different perspective on the problem. (这个反例为这个问题提供了一个不同的视角。)
- Without a counterexample, the theory remains unchallenged. (没有反例,这个理论仍然没有受到质疑。)
- The professor encouraged his students to find counterexamples to test their arguments. (教授鼓励学生们找到反例来测试他们的论证。)
- She analyzed the counterexample in detail to understand its implications. (她详细分析了这个反例以理解其含义。)
- The counterexample served as a cautionary tale for future researchers. (这个反例成为未来研究者的一个警示故事。)
- They used a counterexample to challenge the existing hypothesis. (他们用一个反例来质疑现有的假设。)
- The counterexample highlighted the limitations of the current model. (这个反例突显了当前模型的局限性。)
- He searched for a counterexample to disprove the widely accepted theory. (他寻找反例来证明这个广为接受的理论是错误的。)
- Her counterexample raised doubts about the validity of the proposed algorithm. (她的反例对所提出的算法的有效性产生了怀疑。)
- The counterexample provided a valuable insight into the problem. (这个反例为这个问题提供了有价值的见解。)
- They used counterexamples from previous studies to support their argument. (他们使用了来自先前研究的反例来支持他们的论证。)
- Without a counterexample, the hypothesis cannot be completely ruled out. (没有反例,这个假设无法完全排除。)
- He carefully constructed a counterexample to challenge the existing theory. (他精心构造了一个反例来质疑现有的理论。)
- The counterexample undermined the credibility of their research findings. (这个反例削弱了他们研究结果的可信度。)
- She used counterexamples to illustrate the limitations of the current approach. (她用反例来说明当前方法的局限性。)