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axiomatic

UK/ˌæk.si.əˈmæt.ɪk/US/ˌæk.si.əˈmæt.ɪk/
adjectiveC2Rare in speech; mostly a word you read · #14,636 of 15,258mostly written

Axiomatic means so obviously true that it needs no proof. It is axiomatic that, an axiomatic truth, treat it as axiomatic.

In mathematics an axiom is a starting point assumed without proof, and everything else is built on it. In ordinary speech, calling something axiomatic is a claim that argument is unnecessary, which is not always fair.

Definitions of axiomatic

  1. 1adjectiveaxiomaticSo obviously true that it needs no proof.C2

    “It is axiomatic in the trade that the customer never reads the manual.”

axiomatic is a quality.

Where it comes from

Greek axiomatikos comes from axioma, a thing thought worthy, from axios, worthy.

  1. Ancient Greek

    ἀξιωμᾰτικός — employing logical propositions

  2. English, today

    axiomatic

From Ancient Greek ἀξιωμᾰτικός (“employing logical propositions”), from ἀξίωμα + -ικός, equivalent to axiom + -atic.

Etymology from Wiktionary, CC BY-SA

Practise this word

axiomatic in the wild

  • Unlike axiomatic set theories, which are defined using formal logic, naive set theory is defined informally, in natural language.

    Naive set theory

  • Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set, while in other theories, its existence can be deduced.

    Empty set

  • In mathematics and logic, an axiomatic system or axiom system is a standard type of deductive logical structure, used also in theoretical computer science.

    Axiomatic system

  • A mathematical theory is an expression used to refer to an axiomatic system and all its derived theorems.

    Axiomatic system

  • Individual axioms are almost always part of a larger axiomatic system.

    List of axioms

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From Wikipedia, CC BY-SA 4.0. These sentences were written by other people about their own subjects; they are here to show the word at work, not as anybody’s opinion.

Related words

  • axiom