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axiom (noun)

См. также в других словарях:

  • axiom — ► NOUN ▪ a proposition regarded as self evidently true. DERIVATIVES axiomatic adjective. ORIGIN Greek axi ma what is thought fitting …   English terms dictionary

  • axiom system — noun A set of axioms or axiom schemata from which theorems can be derived. Syn: axiomatic system …   Wiktionary

  • axiom schema — noun A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions. Syn: axiom scheme …   Wiktionary

  • axiom scheme — noun A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions. Syn: axiom schema …   Wiktionary

  • axiom — noun Etymology: Latin axioma, from Greek axiōma, literally, something worthy, from axioun to think worthy, from axios worth, worthy; akin to Greek agein to weigh, drive more at agent Date: 15th century 1. a maxim widely accepted on its intrinsic… …   New Collegiate Dictionary

  • axiom of extensionality — noun One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements …   Wiktionary

  • axiom — noun /ˈæks.i.əm/ a) A seemingly or necessary which is based on ; a or which cannot actually be proven or dis‐proven. b) A fundamental that serves as a basis for of other theorems. Example: A point has no mass; a line has no width. A plane is a… …   Wiktionary

  • axiom of choice — noun One of the axioms in axiomatic set theory, equivalent to the statement that an arbitrary direct product of non empty sets is non empty …   Wiktionary

  • axiom — noun (C) formal a rule or principle that is generally considered to be true …   Longman dictionary of contemporary English

  • axiom system — noun : a set of axioms together with formal rules for derivation of theorems compare transformation rule …   Useful english dictionary

  • Axiom — This article is about logical propositions. For other uses, see Axiom (disambiguation). In traditional logic, an axiom or postulate is a proposition that is not proven or demonstrated but considered either to be self evident or to define and… …   Wikipedia

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