Definition

1. Adjective:
   • Evident without proof or argument; self-evident: Something that is so obviously true that it is accepted as a foundational principle without needing to be demonstrated.
   • Of, relating to, or derived from axioms: Pertaining to a statement or proposition that is established, accepted, or self-evidently true, serving as a starting point for further reasoning.
   • Containing aphorisms or maxims: Expressed in the form of concise, authoritative statements of principle or truth.

Examples of Usage

• As self-evident:

  • It is axiomatic that all people are created equal. (It is a self-evident truth that all people are created equal.)
  • In this company, it is axiomatic that the customer comes first. (In this company, it is an unquestioned, fundamental principle that the customer comes first.)

• Relating to axioms:

  • The theory is built upon a few axiomatic statements. (The theory is constructed from a few foundational, self-evident statements.)
  • He presented an axiomatic system for the new branch of logic. (He presented a system derived from basic axioms for the new branch of logic.)

• Containing maxims:

  • The teacher's speech was axiomatic, filled with wise sayings. (The teacher's speech was full of concise, principled statements.)

Advanced Usage

• "Axiomatic approach/method": A way of constructing a theory or system by beginning with a set of axioms.

  • Euclidean geometry is famous for its axiomatic approach. (Euclidean geometry is famous for being built from a set of axioms.)

• "To be axiomatic that...": A common structure used to state something as an unquestionable principle.

  • It is axiomatic that a stable society requires the rule of law. (It is a fundamental, self-evident truth that a stable society requires the rule of law.)

Variants and Related Words

• Axiom (n): A statement or proposition that is regarded as being established, accepted, or self-evidently true.

  • One of the axioms of economics is that people respond to incentives. (One of the foundational principles of economics is that people respond to incentives.)

• Axiomatically (adv): In a way that is self-evident or derived from axioms.

  • The conclusion follows axiomatically from the premises. (The conclusion follows necessarily and self-evidently from the starting points.)

Synonyms

• Self-evident: Clearly true without needing proof.
• Indisputable: Unable to be challenged or denied.
• Fundamental: Forming a necessary base or core.
• Postulated: Suggested or assumed as a basis for reasoning.

Antonyms

• Debatable: Open to discussion or argument.
• Questionable: Doubtful or not obviously true.
• Controversial: Causing or likely to cause public disagreement.

Adjective

1. of or relating to or derived from axioms
   • axiomatic physics
   • the postulational method was applied to geometry- S.S.Stevens
2. containing aphorisms or maxims
   • axiomatic wisdom
3. evident without proof or argument
   • an axiomatic truth
   • we hold these truths to be self-evident