axioms background

axioms

/ˈæksiəmz/ /ˈæksiːəmz/

Illustration axioms - Image 1

noun

公理，不证自明的事理

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, we started by accepting certain statements as axioms, like "a straight line is the shortest distance between two points," without needing to prove them. "

在几何课上，我们一开始就接受一些陈述作为公理，比如“直线是两点之间最短的距离”，而不需要去证明它们。

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Illustration axioms - Image 1

noun

公理，不证自明的道理

Examples :

"In geometry class, students learn that all proofs start with fundamental truths called axioms, like the statement that a straight line can be drawn between any two points. "

在几何课上，学生们会学到所有的证明都是从一些基本的真理开始的，这些真理被称为公理，比如“两点之间可以画一条直线”这个说法，就是一个不证自明的道理。

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Illustration axioms - Image 1

noun

公理，定理

An established principle in some artistic practice or science that is universally received.

Examples :

"The axioms of political economy cannot be considered absolute truths."

政治经济学中的那些基本原理，不能被认为是绝对真理。

theory doctrine philosophy math science logic system