contraposition
简明释义
英[ˌkɒntrəpəˈzɪʃən]美[ˌkɑːntrəpəˈzɪʃən]
n. 对置，对位；[数] 换质位
英英释义
单词用法
命题的对立命题 | |
应用对立命题 | |
对立命题法则 | |
逻辑中的对立命题 |
同义词
反义词
| 肯定 | The affirmation of the hypothesis was necessary for the experiment. | 对假设的肯定对于实验是必要的。 | |
| 命题 | In logic, a proposition must be clearly defined to avoid confusion. | 在逻辑中，命题必须清晰定义以避免混淆。 |
例句
1.All fractures showed good contraposition no X - ray.
线片显示骨折处对位良好。
2.And that forms the end of the narrative of contraposition , furrher more, I think it is also right if we regard it as another voice part's extending.
这便形成了叙事上对位的结束，如果将这作为另一个声部延伸，笔者认为也是完全可以的。
3.The methods of integrating sound and picture generally are synchronization and contraposition.
声画组合的方法通常有声画同步和声画对位两种。
4." some quadrupeds are not houses " becomes, by contraposition, " some thing not house are quadrupeds.
“某些四足动物不是马” ，以反言论法，变成了“某些不是马的东西是四足动物” 。
5.This will greatly improve the contraposition of water diversity optimization and the utility the model.
此方法极大地提高了优化配水的针对性和本模型的实用性。
6.The invention also relates to an application for the ventiduct in a place where easily happens a blasting or an explosion, and an application of the contraposition aramid fiber in the ventiduct.
本发明还涉及上述通风管在易于发生爆破或爆炸的地点中的应用，以及对位芳族聚酰胺纤维在通风管中的应用。
7.Dynamic analysis for the crane-load or the trolley-load system is the foundation for solving the problem of the cranes fast contraposition.
对起重机吊重系统的动力学分析是解决起重机快速对位问题的基础。
8.The invention also relates to an application for the ventiduct in a place where easily happens a blasting or an explosion, and an application of the contraposition aramid fiber in the ventiduct.
本发明还涉及上述通风管在易于发生爆破或爆炸的地点中的应用，以及对位芳族聚酰胺纤维在通风管中的应用。
9.In this paper, we introduce an automatic tube fill contraposition system.
介绍一种用于软管灌装设备上的软管自动对位系统。
10.Understanding contraposition can help students grasp more complex logical arguments.
理解对立转换可以帮助学生掌握更复杂的逻辑论证。
11.In logic, the rule of contraposition is used to derive equivalent statements.
在逻辑中，对立转换的规则用于推导等价的陈述。
12.To prove the theorem, we applied contraposition to show that if not Q, then not P.
为了证明这个定理，我们应用了对立转换来显示如果不是Q，那么就不是P。
13.The teacher explained the concept of contraposition with a simple example.
老师用一个简单的例子解释了对立转换的概念。
14.The contraposition of the statement 'If it rains, then the ground is wet' is 'If the ground is not wet, then it does not rain.'
语句“如果下雨，那么地面是湿的”的对立转换是“如果地面不湿，那么就没有下雨。”
作文
In the study of logic, the concept of contraposition is essential for understanding how implications work. To put it simply, if we have a statement of the form "If P, then Q" (denoted as P → Q), the contraposition of this statement is "If not Q, then not P" (¬Q → ¬P). This means that if the conclusion (Q) is false, then the premise (P) must also be false. The validity of contraposition is a fundamental aspect of deductive reasoning and is widely used in mathematical proofs and logical arguments.For example, consider the statement: "If it rains, then the ground will be wet." The contraposition of this statement would be: "If the ground is not wet, then it has not rained." Both statements are logically equivalent; if one is true, the other must also be true. This relationship is crucial in various fields, including mathematics, computer science, and philosophy, as it allows for the transformation of statements while preserving their truth values.Understanding contraposition can enhance our problem-solving skills. In mathematics, for instance, proving a theorem often involves demonstrating the contraposition of a given implication. By showing that the negation of the conclusion leads to the negation of the premise, mathematicians can establish the truth of the original statement through indirect reasoning.In everyday reasoning, contraposition also plays a significant role. When we evaluate arguments or make decisions, we often use implicit forms of contraposition. For instance, if someone argues, "If you are a good student, you will pass the exam," they are implying that if you do not pass the exam, then you are not a good student. Recognizing this logical structure can help us critically assess the validity of arguments and avoid fallacies.Moreover, contraposition can be applied in real-life scenarios. Consider a situation in which a teacher states, "If students study hard, they will succeed in their exams." The contraposition would suggest that if students do not succeed in their exams, they likely did not study hard. This perspective encourages accountability and emphasizes the importance of effort in achieving success.In conclusion, the concept of contraposition is not only a theoretical construct but also a practical tool for reasoning and argumentation. It helps us understand the relationships between different statements and enhances our ability to think critically. By mastering the principle of contraposition, we can improve our logical reasoning skills, making us better equipped to tackle complex problems and engage in meaningful discussions. Ultimately, the power of contraposition lies in its ability to clarify our thoughts and sharpen our analytical abilities, both in academic pursuits and daily life.
在逻辑学的研究中，contraposition（对立命题）的概念对于理解蕴含关系至关重要。简单来说，如果我们有一个形式为“如果P，则Q”（表示为P → Q）的陈述，那么这个陈述的contraposition就是“如果不是Q，则不是P”（¬Q → ¬P）。这意味着如果结论（Q）为假，那么前提（P）也必须为假。Contraposition的有效性是演绎推理的基本方面，并且广泛应用于数学证明和逻辑论证中。例如，考虑这样的陈述：“如果下雨，那么地面会湿。”该陈述的contraposition将是：“如果地面不湿，那么没有下雨。”这两个陈述在逻辑上是等价的；如果一个为真，另一个也必须为真。这种关系在数学、计算机科学和哲学等多个领域至关重要，因为它允许在保持真值的情况下对陈述进行变换。理解contraposition可以增强我们的解决问题的能力。例如，在数学中，证明定理通常涉及展示给定蕴含的contraposition。通过表明结论的否定导致前提的否定，数学家可以通过间接推理建立原始陈述的真实性。在日常推理中，contraposition同样起着重要作用。当我们评估论点或做出决策时，我们经常使用隐含的contraposition形式。例如，如果有人辩称：“如果你是一个好学生，你就会通过考试”，他们隐含着如果你没有通过考试，那么你就不是一个好学生。认识到这种逻辑结构可以帮助我们批判性地评估论点的有效性，避免谬误。此外，contraposition还可以应用于现实生活场景。考虑这样一种情况，一位老师说：“如果学生努力学习，他们就会在考试中成功。”Contraposition将暗示，如果学生没有在考试中成功，他们可能没有努力学习。这种观点鼓励责任感，强调努力在取得成功中的重要性。总之，contraposition的概念不仅是一个理论构造，也是推理和论证的实用工具。它帮助我们理解不同陈述之间的关系，并增强我们批判性思维的能力。通过掌握contraposition的原则，我们可以提高逻辑推理能力，使我们更好地应对复杂问题并参与有意义的讨论。最终，contraposition的力量在于它能够澄清我们的思维，锐化我们的分析能力，无论是在学术追求还是日常生活中。
