Axiom — meaning in English
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English meaning
- axiom noun A statement accepted as true without proof, used as a starting point from which other results are derived.
- postulate noun Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.
Senses
Axiom is used for these senses in English:
- axiom (philosophy) A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
- axiom (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).
- postulate (logic) An axiom.
axiom — full definition
- noun A statement accepted as true without proof, used as a starting point from which other results are derived.
- noun A saying or principle that is widely regarded as obviously true.
postulate — full definition
- noun Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.
- noun A fundamental element; a basic principle.
- noun A requirement; a prerequisite.