axioms

简明释义

英[ˈæksɪəmz]美[ˈæk.si.əmz]

n. [数]公理；公设；原理（axiom 的复数）

英英释义

单词用法

同义词

反义词

例句

1.Here, I will I am the secret behind the three axioms of thought and understanding to tell you.

下面，我将我对这三个公理背后的秘密的思考和理解告诉大家。

2.My aunt is full of copy-book axioms .

我的姑妈张口就是字贴上的格言。

3.A method for query evaluation in deductive databases is presented, based on discovery of axioms and facts relevant to given query.

在基于与给定查询相关的事实与公理的基础上，给出了演绎数据库的一个产生式推理方法。

4.Renata Salecl unpicks these axioms of modern life in a short and thought-provoking book.

Renata Salecl在一篇短小但颇具思想启发性的书中，对现代生活的这些原理做了剖析。

5.Often the existence axioms of classic in the differential calculus square distance can't use.

常微分方程中经典的存在性定理不能使用。

6.theorems which are statements about the program inferred from the axioms.

定理（theorems）由公理推论得到的关于程序的陈述。

7.This paper demonstrates what boundary axioms are and the condition under which boundary axioms equal the axioms of open sets.

首先给出边界公理的定义，然后证明边界公理与开集公理的条件等价。

8.We can use these axioms and the usual properties of equality to establish additional properties of integers.

我们使用这些公理，以及方程的常见属性来构建整数其他的属性。

9.Mathematicians typically justify their fundamental axioms, in particular those of set theory, by informal appeals to the imagination.

数学家就是个典型，他们会通过想象来证实基本原理尤其是集合论。

10.In mathematics, we often start with basic axioms (公理) that are accepted as true without proof.

在数学中，我们通常从基本的公理(公理)开始，这些公理被接受为无需证明的真理。

11.The scientific method relies on a few fundamental axioms (公理) to establish hypotheses.

科学方法依赖于几个基本的公理(公理)来建立假设。

12.Philosophers debate the nature of axioms (公理) in ethics and morality.

哲学家们讨论伦理和道德中的公理(公理)的本质。

13.In computer science, certain axioms (公理) form the basis for algorithms and data structures.

在计算机科学中，某些公理(公理)构成了算法和数据结构的基础。

14.The axioms (公理) of logic guide our reasoning processes.

逻辑的公理(公理)指导我们的推理过程。

作文

In the realm of mathematics and philosophy, the term axioms refers to fundamental principles or statements that are accepted as true without proof. These foundational truths serve as the building blocks for further reasoning and exploration. The significance of axioms extends beyond the confines of academia; they permeate various aspects of our daily lives, shaping our beliefs and guiding our decisions. To illustrate this point, consider the famous axiom in geometry: "Through any two points, there is exactly one straight line." This simple statement is not just a trivial observation; it underpins the entire structure of Euclidean geometry. Without such axioms, we would find ourselves lost in a maze of contradictions and uncertainties. Every theorem derived from this axiom relies on its truth, demonstrating how essential these foundational statements are to logical progression. Moreover, axioms are not limited to mathematical contexts. In philosophy, axioms can take the form of ethical principles or belief systems. For example, the idea that "all individuals have the right to freedom" can be considered an axiom in discussions about human rights. This principle is accepted as a starting point for debates and discussions surrounding justice and equality. Just as in mathematics, where axioms provide a framework for understanding geometric relationships, philosophical axioms offer a foundation for moral reasoning. In everyday life, we often operate based on personal axioms. These are the beliefs we hold to be true, which influence our actions and decisions. For instance, someone might live by the axiom that "hard work leads to success." This belief shapes their approach to challenges and opportunities, motivating them to put in the effort necessary to achieve their goals. When faced with setbacks, they may refer back to this axiom to regain their focus and determination. However, it is important to recognize that axioms can vary significantly between individuals and cultures. What one person considers an axiom may not hold true for another. This divergence can lead to misunderstandings and conflicts, particularly in a globalized world where diverse perspectives collide. Therefore, engaging in open dialogue about our respective axioms can foster mutual understanding and respect. In conclusion, axioms are more than mere statements; they are the underlying truths that shape our understanding of the world. Whether in mathematics, philosophy, or daily life, axioms guide our thoughts and actions. By recognizing and examining our own axioms, we can gain deeper insights into our beliefs and values, ultimately enriching our interactions with others. As we navigate through life, let us remain aware of the axioms that influence us and strive to understand those that guide others, fostering a more harmonious and informed society.

在数学和哲学的领域中，术语公理指的是被接受为真而无需证明的基本原则或陈述。这些基础真理作为进一步推理和探索的基石。公理的重要性超越了学术界的界限；它们渗透到我们日常生活的各个方面，塑造我们的信念并指导我们的决策。 为了阐明这一点，考虑几何学中的著名公理：“通过任意两点，可以画出一条直线。”这个简单的陈述不仅仅是一个微不足道的观察；它支撑着整个欧几里得几何的结构。如果没有这样的公理，我们将发现自己迷失在矛盾和不确定性的迷宫中。每一个从这个公理推导出的定理都依赖于它的真实性，展示了这些基础陈述对于逻辑进展的必要性。 此外，公理并不限于数学背景。在哲学中，公理可以表现为伦理原则或信仰体系。例如，“所有个人都有自由权利”的理念可以被视为关于人权讨论中的一个公理。这一原则被接受为围绕正义和平等的辩论和讨论的起点。正如在数学中，公理提供了理解几何关系的框架一样，哲学上的公理则为道德推理提供了基础。 在日常生活中，我们经常基于个人的公理进行运作。这些是我们认为真实的信念，影响我们的行为和决策。例如，有人可能遵循“努力工作会带来成功”的公理。这个信念塑造了他们面对挑战和机遇的方式，激励他们付出必要的努力以实现目标。当面临挫折时，他们可能会回归这个公理以重新获得专注和决心。 然而，重要的是要认识到，公理在个人和文化之间可能存在显著差异。一个人认为是公理的东西，对另一个人来说可能并不成立。这种差异可能导致误解和冲突，特别是在一个全球化的世界中，不同的观点相互碰撞。因此，围绕我们的各自公理进行开放对话可以促进相互理解和尊重。 总之，公理不仅仅是陈述；它们是塑造我们对世界理解的基本真理。无论是在数学、哲学还是日常生活中，公理指导着我们的思想和行动。通过认识和审视我们自己的公理，我们可以更深入地洞察我们的信念和价值观，最终丰富我们与他人的互动。当我们在生活中航行时，让我们保持对影响我们的公理的意识，并努力理解引导他人的那些，从而促进一个更加和谐和知情的社会。