noun🔗Share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."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。theoryphilosophylogicsciencestatementmathChat with AIVocabulary GamePractice Reading
noun🔗Share公理，不证自明的道理 (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)."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。theorymathphilosophylogicscienceChat with AIVocabulary GamePractice Reading
noun🔗Share公理，定理 An established principle in some artistic practice or science that is universally received."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。theorydoctrinephilosophymathsciencelogicsystemChat with AIVocabulary GamePractice Reading
