Axiom

Pronunciation: /ˈæk.si.əm/

Definitions of axiom

noun a statement or proposition that is regarded as being established, accepted, or self-evidently true

Example Sentences

A1 An axiom is a basic principle or rule that is accepted as true without needing to be proven.

A2 In geometry, an axiom is a statement that is taken to be true without proof.

B1 One common axiom in mathematics is the commutative property of addition.

B2 Axioms are used as starting points for logical reasoning in many fields, including philosophy and science.

C1 Mathematicians often debate the choice and implications of different axioms in their theories.

C2 The axioms of a mathematical system can determine its consistency and completeness.

Examples of axiom in a Sentence

formal In mathematics, an axiom is a statement that is taken to be true without proof.

informal The basic axiom of economics is that people respond to incentives.

slang I live by the axiom 'treat others how you want to be treated'.

figurative The golden rule can be seen as a moral axiom in many cultures.

Grammatical Forms of axiom

• plural: axioms
• comparative: more axiom
• superlative: most axiom
• present tense: axiom
• future tense: will axiom
• perfect tense: have axiom
• continuous tense: is axiom
• singular: axiom
• positive degree: axiom
• infinitive: to axiom
• gerund: axiom
• participle: axiom

Origin and Evolution of axiom

First Known Use: 1250 year

Language of Origin: Greek

Story behind the word: The word 'axiom' originated from the Greek word 'axios' meaning 'worthy' or 'having weight'.

Evolution of the word: Originally used in mathematics and philosophy to refer to a self-evident truth or principle, the term 'axiom' has since expanded to be used in a variety of fields to denote a statement or proposition that is accepted as true without needing proof.