disjunctions

简明释义

[dɪsˈdʒʌŋkʃənz][dɪsˈdʒʌŋkʃənz]

n. [数] 析取

英英释义

Disjunctions refer to logical operators that connect two statements in such a way that the compound statement is true if at least one of the individual statements is true.

析取是指逻辑运算符,它连接两个陈述,使得复合陈述在至少一个个体陈述为真时为真。

In mathematics, disjunctions are often represented by the symbol '∨' and are used in propositional logic.

在数学中,析取通常用符号 '∨' 表示,并用于命题逻辑中。

单词用法

logical disjunction

逻辑或

disjunction of events

事件的离散

disjunction in reasoning

推理中的分离

disjunction operator

离散运算符

disjunction and conjunction

离散与结合

disjunction fallacy

离散谬误

同义词

alternatives

替代方案

We need to explore the alternatives before making a decision.

在做出决定之前,我们需要探索替代方案。

disconnections

断开

The disconnections in the network caused significant delays.

网络中的断开导致了重大延迟。

divisions

分裂

The divisions within the team affected our performance.

团队内部的分裂影响了我们的表现。

separations

分离

There are clear separations between different departments.

不同部门之间有明显的分离。

反义词

conjunctions

连接词

In grammar, conjunctions are used to connect words, phrases, or clauses.

在语法中,连接词用于连接单词、短语或从句。

unity

统一

The concept of unity emphasizes the importance of coming together.

统一的概念强调团结的重要性。

例句

1.And yet, his paintings are always full of mysteries, transmutations, and disjunctions of scale.

但是他的绘画总是充满神秘、变形及比例失调。

2.And yet, his paintings are always full of mysteries, transmutations, and disjunctions of scale.

但是他的绘画总是充满神秘、变形及比例失调。

3.The disjunctions in his argument made it difficult to follow his reasoning.

他论点中的析取使得很难跟随他的推理。

4.Mathematics often uses disjunctions to express multiple possible outcomes.

数学常常使用析取来表达多种可能的结果。

5.The study examined the disjunctions between theory and practice in education.

这项研究考察了教育中理论与实践之间的析取

6.In logic, we often deal with disjunctions to represent 'or' statements.

在逻辑中,我们经常处理析取来表示“或”语句。

7.In programming, disjunctions can help create conditional statements that allow for flexibility.

在编程中,析取可以帮助创建允许灵活性的条件语句。

作文

In the realm of logic and philosophy, the term disjunctions refers to a specific type of logical operation that connects two statements. More commonly known as the logical 'or', a disjunction is true if at least one of the statements it connects is true. This concept is fundamental not only in formal logic but also in everyday reasoning and decision-making processes. Understanding disjunctions can significantly enhance our analytical skills and improve our ability to communicate complex ideas effectively.Consider a simple example: "It is raining, or it is sunny." In this case, the disjunction allows for multiple scenarios; it can be true if it is raining, true if it is sunny, or even true if it is both raining and sunny at the same time. This flexibility illustrates how disjunctions can accommodate various truths, reflecting the complexities of real-world situations.In mathematics, disjunctions are used extensively in set theory and probability. For instance, when calculating the probability of events, understanding how to use disjunctions can help in determining the likelihood of either event occurring. If we have two events, A and B, the probability of A or B happening is calculated by adding their individual probabilities while subtracting the probability of both occurring simultaneously. This is a practical application of disjunctions that can be seen in various fields such as statistics, economics, and risk assessment.Moreover, disjunctions play a crucial role in computer science, particularly in programming and algorithm design. Logical operations, including disjunctions, are foundational to creating conditions and controlling the flow of programs. For example, in an if-statement, a programmer might check if a condition A is true or condition B is true to execute a particular block of code. This demonstrates how disjunctions can streamline decision-making processes in software development, making systems more efficient and responsive.In everyday conversations, we often encounter disjunctions without realizing it. Phrases like "You can have tea or coffee" or "We can go to the park or stay home" illustrate how disjunctions shape our choices and preferences. Recognizing these instances can sharpen our understanding of language and improve our communication skills. It encourages us to think critically about the options available to us and the implications of our choices.Furthermore, the concept of disjunctions extends to ethical discussions and moral dilemmas. When faced with difficult decisions, individuals often weigh different options, considering the consequences of each. The ability to identify and analyze disjunctions in ethical reasoning can lead to more informed and thoughtful choices. For instance, when debating whether to support a policy that benefits some while disadvantaging others, recognizing the disjunctions involved can clarify the potential outcomes and guide us toward a more ethical decision.In conclusion, the term disjunctions encompasses a wide range of applications across various disciplines, including logic, mathematics, computer science, and everyday life. By understanding the nature of disjunctions, we can enhance our analytical abilities, improve our decision-making processes, and communicate more effectively. Whether we are solving a mathematical problem, writing a program, or navigating personal choices, the concept of disjunctions remains a vital tool in our intellectual toolkit. Embracing this understanding can lead to greater clarity and insight in both our academic pursuits and our daily lives.

在逻辑学和哲学的领域中,术语disjunctions指的是一种特定类型的逻辑运算,它连接两个陈述。更常见的称呼是逻辑上的“或”,如果它连接的至少一个陈述为真,则disjunction为真。这个概念不仅在形式逻辑中是基础,而且在日常推理和决策过程中也同样重要。理解disjunctions可以显著增强我们的分析能力,并提高我们有效沟通复杂思想的能力。考虑一个简单的例子:“正在下雨,或者阳光明媚。”在这种情况下,disjunction允许多种情况;如果下雨,则为真;如果阳光明媚,则为真;甚至在同时下雨和阳光明媚的情况下也为真。这种灵活性说明了disjunctions如何容纳各种真理,反映了现实世界情况的复杂性。在数学中,disjunctions在集合论和概率论中被广泛使用。例如,在计算事件的概率时,理解如何使用disjunctions可以帮助确定任一事件发生的可能性。如果我们有两个事件A和B,那么A或B发生的概率是通过加上它们各自的概率并减去它们同时发生的概率来计算的。这是disjunctions的一个实际应用,可以在统计学、经济学和风险评估等多个领域中看到。此外,disjunctions在计算机科学中也起着至关重要的作用,特别是在编程和算法设计中。逻辑运算,包括disjunctions,是创建条件和控制程序流程的基础。例如,在if语句中,程序员可能会检查条件A是否为真或者条件B是否为真,以执行特定的代码块。这表明了disjunctions如何简化软件开发中的决策过程,使系统更加高效和响应迅速。在日常对话中,我们经常在不知情的情况下遇到disjunctions。诸如“你可以喝茶或者咖啡”或“我们可以去公园或者呆在家里”的短语说明了disjunctions如何塑造我们的选择和偏好。认识到这些实例可以提高我们对语言的理解,并改善我们的沟通技巧。它鼓励我们批判性地思考可供我们选择的选项及其影响。此外,disjunctions的概念扩展到伦理讨论和道德困境。当面临困难的决定时,个人常常会权衡不同的选项,考虑每个选项的后果。识别和分析伦理推理中的disjunctions的能力可以导致更有根据和深思熟虑的选择。例如,在辩论是否支持一项使一些人受益而使其他人受到损害的政策时,认识到其中涉及的disjunctions可以澄清潜在结果,并指导我们做出更具伦理性的决定。总之,术语disjunctions涵盖了各个学科的广泛应用,包括逻辑、数学、计算机科学和日常生活。通过理解disjunctions的本质,我们可以增强我们的分析能力,改善我们的决策过程,并更有效地沟通。无论我们是在解决数学问题、编写程序还是处理个人选择,disjunctions的概念始终是我们智力工具箱中的重要工具。拥抱这种理解可以在我们的学术追求和日常生活中带来更大的清晰度和洞察力。