law of identity; identity law

简明释义

同一律

英英释义

The law of identity is a fundamental principle in classical logic stating that an object is the same as itself; formally expressed as A is A.

同一律是经典逻辑中的一个基本原则,指出一个对象与自身是相同的;形式上表示为A即A。

In propositional logic, the identity law states that a proposition is equivalent to itself, reinforcing the idea that each statement holds its own truth value.

在命题逻辑中,同一律表明一个命题与自身等价,进一步强调每个陈述都保持其自身的真值。

例句

1.In philosophy, the law of identity (同一律) states that each thing is identical to itself.

在哲学中,同一律 (law of identity) 表示每个事物都与自身相同。

2.The law of identity (同一律) is often used in computer science to ensure data integrity.

在计算机科学中,同一律 (law of identity) 常用于确保数据完整性。

3.When solving equations, we often apply the identity law (恒等律) to simplify expressions.

在解方程时,我们经常应用恒等律 (identity law) 来简化表达式。

4.The law of identity (同一律) is fundamental in logical reasoning and helps establish clear definitions.

在逻辑推理中,同一律 (law of identity) 是基础,有助于建立清晰的定义。

5.According to the identity law (恒等律), if A equals B, then A can be substituted for B in any expression.

根据恒等律 (identity law),如果A等于B,那么在任何表达式中可以将A替换为B。

作文

The concept of the law of identity; identity law is fundamental in both philosophy and logic. It states that an object is identical to itself, expressed formally as 'A is A.' This principle may seem simple and obvious, but it has profound implications in various fields, including mathematics, computer science, and even everyday reasoning. Understanding this law helps us navigate the complexities of identity and existence, which are central themes in many philosophical discussions.In philosophy, the law of identity; identity law serves as a foundational axiom. It asserts that if something is true, then it must be true in every context where it is applicable. For instance, if we say that 'water is H2O,' we are applying the law of identity; identity law because we are affirming that the essence of water is always its chemical composition. This clarity is essential for logical reasoning and forms the basis for more complex arguments.In mathematics, the law of identity; identity law plays a crucial role in algebra and set theory. For example, in algebra, the identity element for addition is zero, meaning that adding zero to any number does not change its value. Similarly, in set theory, the identity law states that a set is equal to itself, reinforcing the idea that each entity maintains its unique identity. These applications illustrate how the law of identity; identity law underpins mathematical truths and operations.Moreover, in computer science, the law of identity; identity law is vital in programming and data management. When we create variables or objects in programming languages, we rely on the principle that each variable holds a specific value or reference. If we declare a variable 'x' and assign it the value of 10, the law of identity; identity law ensures that 'x' will always refer to 10 unless explicitly changed. This consistency is crucial for debugging and maintaining code integrity.On a broader scale, the law of identity; identity law influences our understanding of personal identity and self-concept. In psychology, the notion of identity encompasses how individuals perceive themselves and their place in the world. The law of identity; identity law suggests that a person's identity remains constant despite changes in circumstances or experiences. This idea can be comforting, as it implies that our core selves are stable, even when external factors fluctuate.In conclusion, the law of identity; identity law is more than just a philosophical statement; it is a principle that resonates across various disciplines. From ensuring logical coherence in arguments to providing stability in mathematical equations and programming, it underscores the importance of identity in understanding reality. By grasping the significance of the law of identity; identity law, we can better appreciate the complexities of existence and the nature of truth in our lives.

身份法则(law of identity; identity law)的概念在哲学和逻辑中是基础性的。它声明一个对象与自身相同,形式上表达为'A是A'。这个原则看似简单而显而易见,但在数学、计算机科学甚至日常推理等多个领域具有深远的影响。理解这一法则有助于我们在复杂的身份和存在问题中导航,这些都是许多哲学讨论的核心主题。在哲学中,law of identity; identity law作为一个基础公理,主张如果某事是真实的,那么在所有适用的上下文中都必须为真。例如,当我们说'水是H2O'时,我们实际上是在应用law of identity; identity law,因为我们确认水的本质始终是其化学成分。这种清晰性对于逻辑推理至关重要,并构成了更复杂论证的基础。在数学中,law of identity; identity law在代数和集合论中发挥着关键作用。例如,在代数中,加法的单位元素是零,这意味着将零加到任何数字上不会改变其值。同样,在集合论中,身份法则表明一个集合等于其自身,强化了每个实体保持其独特身份的观点。这些应用展示了law of identity; identity law如何支撑数学真理和操作。此外,在计算机科学中,law of identity; identity law在编程和数据管理中至关重要。当我们在编程语言中创建变量或对象时,我们依赖于每个变量持有特定值或引用的原则。如果我们声明一个变量'x'并将其赋值为10,law of identity; identity law确保'x'将始终指向10,除非明确更改。这种一致性对于调试和维护代码的完整性是至关重要的。在更广泛的范围内,law of identity; identity law影响我们对个人身份和自我概念的理解。在心理学中,身份的概念包含个人如何看待自己及其在世界中的位置。law of identity; identity law暗示一个人的身份尽管在环境或经历中发生变化,但仍然保持不变。这一观点可以带来安慰,因为它意味着我们的核心自我是稳定的,即使外部因素波动。总之,law of identity; identity law不仅仅是一个哲学陈述;它是一个在各个学科中共鸣的原则。从确保论证的逻辑一致性到提供数学方程和编程中的稳定性,它强调了身份在理解现实中的重要性。通过掌握law of identity; identity law的意义,我们可以更好地欣赏存在的复杂性以及我们生活中真理的本质。

相关单词

identity

identity详解:怎么读、什么意思、用法