### Definition of Axiom

1. Noun. A saying that is widely accepted on its own merits.

Exact synonyms: Maxim
Generic synonyms: Expression, Locution, Saying
Specialized synonyms: Aphorism, Apophthegm, Apothegm, Gnome, Moralism
Derivative terms: Axiomatic

2. Noun. (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident.
Specialized synonyms: Euclid's Axiom, Euclid's Postulate, Euclidean Axiom
Category relationships: Logic
Generic synonyms: Proposition
Derivative terms: Axiomatic, Axiomatic, Axiomatical

### Definition of Axiom

1. n. A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."

### Definition of Axiom

1. Noun. (philosophy) A seemingly (self-evident) or necessary (truth) which is based on (assumption); a (principle) or (proposition) which cannot actually be proven or dis?proven. ¹

2. Noun. (mathematics logic) A fundamental (theorem) that serves as a basis for (deduction) of other theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent". ¹

3. Noun. An established principle in some artistic practice or science that is universally received. ¹

¹ Source: wiktionary.com

### Definition of Axiom

1. a self-evident truth [n -S]

### Medical Definition of Axiom

1. 1. A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be." 2. An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy. Synonym: Axiom, Maxim, Aphorism, Adage. An axiom is a self-evident truth which is taken for granted as the basis of reasoning. A maxim is a guiding principle sanctioned by experience, and relating especially to the practical concerns of life. An aphorism is a short sentence pithily expressing some valuable and general truth or sentiment. An adage is a saying of long-established authority and of universal application. Origin: L. Axioma, Gr. That which is thought worthy, that which is assumed, a basis of demonstration, a principle, fr. To think worthy, fr. Worthy, weighing as much as; cf. To lead, drive, also to weigh so much: cf F. Axiome. See Agent. Source: Websters Dictionary (01 Mar 1998)

### Axiom Pictures

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### Lexicographical Neighbors of Axiom

 axioelectricaxioincisalaxiolabiolingual planeaxiolingualaxiolinguocervicalaxiolinguoclusalaxiolinguogingivalaxiologicalaxiologicallyaxiologies axiologistaxiologistsaxiologyaxiom (current term)axiom of choiceaxiom of extensionalityaxiom schemaaxiom schemataaxiom schemeaxiom schemes axiom systemaxiomaaxiomataaxiomaticaxiomatic systemaxiomatic systemsaxiomaticalaxiomatically

### Literary usage of Axiom

Below you will find example usage of this term as found in modern and/or classical literature:

1. American Journal of Mathematics by Johns Hopkins University, American Mathematical Society (1919)
"axiom 1. axiom 2. subset of K. §3. The axioms of S. There exists at least one region. If R and K are regions and R' is a subset of K' then R is a axiom 3. ..."

2. History of English Literature by Hippolyte Taine (1897)
"In the first we merely remark that the contrary of the axiom is ... Having given the definition of the straight line, we find that the axiom that two ..."

3. The Foundations of Geometry by David Hilbert (1902)
"axiom OF PARALLELS. (EUCLID'S axiom.) .- The introduction of this axiom simplifies greatly the fundamental principles of geometry and facilitates in no ..."

4. Geometry of Riemannian Spaces by Élie ( Cartan (1983)
"We shall say that a Riemannian space satisfies the axiom of the Plane if it ... Later we shall determine every Riemannian space satisfying the axiom of the ..."

5. The Mechanical Theory of Heat: With Its Applications to the Steam-engine and by Rudolf Clausius (1867)
"I cannot but• think, however, that his objection arises from an incorrect interpretation of my axiom, a misconception which certainly might easily be formed ..."

6. The Philosophy of the Inductive Sciences: Founded Upon Their History by William Whewell (1847)
"It would seem more natural to say, if the former axiom is a definition of the word equal, that the latter is a definition of the word greater. ..."

7. Proceedings of the London Mathematical Society by London Mathematical Society (1907)
"This is equivalent to Zermelo's axiom,* and it is not, so far as I know, a -necessary ... Zermelo's axiom is a generalized form of the multiplicative axiom, ..."