axiom
See also: Axiom
axiom - English
Pronunciation
- (Received Pronunciation) IPA: /ˈak.sɪ.əm/
- (General American) enPR: ăk'sēəm, IPA: /ˈæk.si.əm/
- (obsolete) enPR: ăk'shəm, IPA: /ˈæk.ʃəm/
- Hyphenation: ax‧i‧om
Noun
| Examples (mathematics) |
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Through a pair of distinct points there passes exactly one straight line. All right angles are congruent. |
axiom (plural axioms or axiomata) (the latter is becoming less common and is sometimes considered archaic)
- (philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
- (logic, mathematics, proof theory) A fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
- An established principle in some artistic practice or science that is universally received.
- The axioms of political economy cannot be considered absolute truths.
Synonyms
Hypernyms
- (logic): well-formed formula, wff, WFF
Hyponyms
- (mathematics): axiom of choice, axiom of infinity, axiom of pairing, axiom of power set, axiom of regularity, axiom of union, completeness axiom, parallel axiom,
Holonyms
- (logic): formal system
Derived terms
Translations
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Anagrams
axiom - Czech
Pronunciation
- IPA: [ˈaksɪjom]
Noun
axiom m inan
Declension
This noun needs an inflection-table template.
Derived terms
Related terms
axiom - Swedish
Noun
axiom n
Declension
| Declension of axiom | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | axiom | axiomet | axiom | axiomen |
| Genitive | axioms | axiomets | axioms | axiomens |
Related terms
- axiomatisk