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axiom

/ˈaks.ɪ.əm/ /ˈæks.i.əm/

Meanings
noun

公理，不证自明的道理

A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.

Examples :

"In geometry class, students started by accepting as an axiom that the shortest distance between two points is a straight line, without needing to prove it. "
在几何课上，学生们首先接受了一个公理，那就是两点之间直线最短，而不需要去证明它。
theory philosophy logic math science statement doctrine
noun

公理，定理，基本假设

(proof theory) A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).

Examples :

"In geometry class, we learned that "a straight line is the shortest distance between two points" is a fundamental axiom upon which many other rules are based. "
在几何课上，我们学到“两点之间直线最短”是一个基本的公理，很多其他的规则都是基于这个公理推导出来的。
theory philosophy logic math science

Related Words

Illustration assumption

assumption noun

/əˈsʌmp.ʃən/

假定，假设。

"His assumption of secretarial duties was timely."

他及时地承担了秘书的职责。

Illustration considered

considered verb

/kənˈsɪdəd/ /kənˈsɪdɚd/

考虑， 细想

"Consider that we’ve had three major events and the year has hardly begun."

考虑到我们已经举办了三场大型活动，而今年才刚刚开始呢。

Illustration fundamental

fundamental noun

/ˌfʌndəˈmɛntəl/

基本原理，要素。

"one of the fundamentals of linear algebra"

线性代数的基本原理之一。

Illustration particular

particular noun

/pəˈtɪkjələ/ /pəˈtɪkjəlɚ/

细节，要点

"The teacher pointed out a particular detail in the math problem that several students missed. "

老师指出了这道数学题里一个特别的细节，很多学生都忽略了。

Illustration postulates

postulates noun

/ˈpɑstʃəleɪts/ /ˈpɑstjəleɪts/

公设，假定，前提。

"In geometry class, one of the initial postulates is that a straight line can be drawn between any two points; this allows us to build more complex shapes and theorems. "

在几何课上，最初的公设之一就是两点之间可以画一条直线；这使我们能够构建更复杂的形状和定理。

Illustration proposition

proposition noun

/ˌpɹɑpəˈzɪʃən/

提议，建议。

"My teacher made a proposition for a new class project: a school-wide recycling drive. "

我的老师提出了一个关于新班级项目的提议：全校范围内的回收活动。

Illustration seemingly

seemingly adverb

/ˈsiːmɪŋli/

看来，似乎，表面上。

"The dog seemed happy, seemingly wagging its tail excitedly. "

这条狗看起来很高兴，尾巴似乎也兴奋地摇个不停。

Illustration distinguished

distinguished verb

/dɪsˈtɪŋɡwɪʃt/

区分，辨别

"The teacher distinguished the students' excellent essays from the others based on their insightful analysis. "

老师根据深刻的分析，将学生们优秀的作文和其他的区分开来。

Illustration applicable

applicable adjective

/əˈplɪkəbəl/

适用，合适的，相关的。

"The new rule about late submissions is applicable to all students in the class. "

关于迟交作业的新规定适用于班上所有学生。

Illustration established

established verb

/ɪˈstæb.lɪʃt/

建立， 确立。

"The company established a new policy to improve employee safety. "

该公司确立了一项新政策，以提高员工安全。

Illustration necessary

necessary noun

/ˈnɛsəsɹɪ/ /ˈnɛsəˌsɛɹi/

厕所, 洗手间

"The school's new addition includes a modern necessary. "

学校的新增建筑包括一个现代化的洗手间。

Illustration universally

universally adverb

/ˌjuːnɪˈvɜːsəli/ /ˌjunɪˈvɝsəli/

普遍地，广泛地

"The new school uniform is universally popular with the students. "

这款新校服在学生中普遍受欢迎。