extensional

简明释义

英[ɪkˈstenʃənəl]美[ɪksˈtenʃənl]

adj. 外延的；具体的；事实的

英英释义

单词用法

同义词

反义词

例句

1.The Early-Middle Jurassic strata were probably deposited in an extensional basin above the Lapeiquan fault.

早中侏罗世地层可能为拉配泉断裂之上的伸展盆地沉积。

2.Sand box analog models have been proved to be powerful tools for demonstrating the structural styles of extensional fault systems.

砂箱模拟实验已被证明是研究盆地内部伸展断层系统的有效工具。

3.These structures form an extensional tectonic system that is genetically related to the formation of the detachment fault.

这些构造构成了一个在成因上与拆离断层形成有关的伸展构造体系。

4.The familiar semantics for first-order logic is extensional in that it is involved in individual objects rather than in any property entities.

熟知的一阶逻辑语义因为只论及个体对象而不涉及属性实体而被认为是外延的。

5.The study of extensional tectonics is of great significance to both energy resource geology and catastrophic geology.

因此，研究伸展构造对能源地质和灾害地质均有重要的意义。

6.The two complexes were formed in an extensional tectonic environment.

此二杂岩体形成于拉张构造环境。

7.The extensional structures developed in the central Bohai Bay basin are induced by strike slip.

这个走滑拉分盆地的中部发育伸展构造，这些伸展构造是由走滑作用派生而来的。

8.In mathematics, an extensional set is defined by its members rather than its properties.

在数学中，外延的集合是根据其成员而不是属性来定义的。

9.The extensional approach to defining concepts focuses on observable instances.

对概念的外延的定义方法侧重于可观察的实例。

10.In logic, an extensional interpretation assigns truth values based on the actual objects involved.

在逻辑中，外延的解释基于实际涉及的对象分配真值。

11.The difference between extensional and intensional definitions can be crucial in philosophy.

在哲学中，外延的定义和内涵定义之间的差异可能至关重要。

12.An extensional view of language emphasizes the relationship between words and their referents.

语言的外延的视角强调词与其所指对象之间的关系。

作文

In the realm of philosophy and logic, the term extensional refers to a perspective that focuses on the external properties and relationships of objects rather than their internal qualities or meanings. This concept is particularly significant in discussions surrounding semantics, where understanding the difference between extensional and intensional interpretations can lead to deeper insights into language and meaning. For instance, when we say that two statements are extensional equivalents, we mean that they refer to the same set of entities in the world, despite potentially differing in their linguistic expression. To illustrate this, consider the statements "All cats are mammals" and "Every feline is a mammal." Both of these statements have extensional equivalence because they refer to the same group of entities: all cats, which are indeed mammals. However, if we delve into their intensional meanings, we might find subtle differences in connotation or implication. This distinction is crucial for philosophers and logicians who seek to clarify arguments and ensure precise communication. The importance of extensional reasoning extends beyond philosophy into fields such as mathematics and computer science. In mathematics, for example, an extensional approach might involve defining sets based on their members rather than the properties that characterize those members. This is evident in set theory, where a set is defined by its elements—its extension—rather than any intrinsic properties they may possess. Similarly, in computer science, particularly in programming languages, extensional equality often refers to the idea that two functions are considered equal if they produce the same output for the same input, regardless of how they are implemented. Moreover, the extensional viewpoint can be applied in everyday reasoning. When making decisions or forming judgments, people often rely on extensional criteria, such as past experiences or observable outcomes, rather than abstract principles or theoretical frameworks. For instance, when evaluating a restaurant, one might consider the quality of food, service, and ambiance—these are extensional factors that directly impact the dining experience. In contrast, a purely intensional evaluation might focus on the restaurant's reputation or the perceived value of its cuisine, which may not always align with actual experiences. In conclusion, the concept of extensional thinking plays a vital role in various fields, including philosophy, mathematics, computer science, and everyday decision-making. By emphasizing the external aspects of objects and their relationships, extensional approaches facilitate clearer communication, more robust reasoning, and practical evaluations. Understanding this distinction enriches our comprehension of language and enhances our ability to navigate complex ideas in both academic and real-world contexts. As we continue to explore the nuances of meaning and interpretation, recognizing the significance of extensional perspectives will undoubtedly prove beneficial in our intellectual endeavors.

在哲学和逻辑的领域中，术语extensional指的是一种关注对象外部属性和关系而非其内部特质或意义的视角。这个概念在语义学讨论中特别重要，因为理解extensional和意向性解释之间的区别可以深入洞察语言和意义。例如，当我们说两个陈述是extensional等价时，我们的意思是它们指向世界上相同的一组实体，尽管它们的语言表达可能不同。 为了说明这一点，考虑“所有猫都是哺乳动物”和“每只猫科动物都是哺乳动物”这两个陈述。这两个陈述具有extensional等价性，因为它们都指代同一组实体：所有猫，它们确实是哺乳动物。然而，如果我们深入探讨它们的意向性含义，我们可能会发现微妙的内涵或暗示上的差异。这种区别对于寻求澄清论证并确保精确沟通的哲学家和逻辑学家至关重要。 extensional推理的重要性不仅限于哲学，还扩展到数学和计算机科学等领域。例如，在数学中，extensional方法可能涉及根据成员定义集合，而不是根据这些成员所具有的特性。这在集合论中显而易见，其中一个集合是通过其元素（即其扩展）来定义的，而不是通过它们可能具有的任何内在属性。同样，在计算机科学中，特别是在编程语言中，extensional相等通常指的是如果两个函数对于相同的输入产生相同的输出，则被认为是相等的，无论它们是如何实现的。 此外，extensional观点可以应用于日常推理。当做出决策或形成判断时，人们经常依赖于extensional标准，例如过去的经验或可观察的结果，而不是抽象原则或理论框架。例如，在评估一家餐厅时，人们可能会考虑食物质量、服务和环境——这些都是直接影响用餐体验的extensional因素。相反，纯粹的意向性评估可能侧重于餐厅的声誉或其菜肴的感知价值，这可能并不总是与实际体验一致。 总之，extensional思维的概念在哲学、数学、计算机科学和日常决策中发挥着重要作用。通过强调对象及其关系的外部方面，extensional方法促进了更清晰的沟通、更强有力的推理和实用的评估。理解这一区别丰富了我们对语言的理解，并增强了我们在学术和现实世界情境中驾驭复杂思想的能力。在我们继续探索意义和解释的细微差别时，认识到extensional视角的重要性无疑将在我们的智识追求中带来益处。