axioms background

axioms

/ˈæksiəmz/ /ˈæksiːəmz/

Illustration axioms - Image 1

noun

公理、原理

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. "

幾何学の授業では、「直線は2点間の最短距離である」など、特定の命題を証明する必要なく、公理として受け入れることから始めました。

theory philosophy logic science statement math

Illustration axioms - Image 1

noun

公理、原理

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. "

幾何学の授業では、生徒は、すべての証明が、2点間に直線を引くことができるという命題のような、公理と呼ばれる基本的な真実から始まることを学びます。

theory math philosophy logic science

Illustration axioms - Image 1

noun

公理、原理

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

Examples :

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

政治経済学の公理は絶対的な真実とは見なせない。

theory doctrine philosophy math science logic system