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well founded set

См. также в других словарях:

  • Non-well-founded set theory — Non well founded set theories are variants of axiomatic set theory which allow sets to contain themselves and otherwise violate the rule of well foundedness. In non well founded set theories, the foundation axiom of ZFC is replaced by axioms… …   Wikipedia

  • Well-founded relation — In mathematics, a binary relation, R, is well founded (or wellfounded) on a class X if and only if every non empty subset of X has a minimal element with respect to R; that is, for every non empty subset S of X, there is an element m of S such… …   Wikipedia

  • Well-order — In mathematics, a well order relation (or well ordering) on a set S is a total order on S with the property that every non empty subset of S has a least element in this ordering.Equivalently, a well ordering is a well founded total order.The set… …   Wikipedia

  • Well-quasi-ordering — In mathematics, specifically order theory, a well quasi ordering or wqo is a well founded quasi ordering with an additional restriction on sequences that there is no infinite sequence x i with x i ot le x j for all i < j . Motivation We can use… …   Wikipedia

  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • set — Synonyms and related words: A to Z, A to izzard, Brownian movement, Platonic form, Platonic idea, Zeitgeist, abet, accepted, accommodate, accord, accretion, acrid, aculeate, acuminate, acute, adapt, address, adhere, adherence, adhesion, adjust,… …   Moby Thesaurus

  • well-set — Synonyms and related words: able bodied, athletic, balanced, brawny, broad shouldered, burly, coequal, confirmed, coordinate, deep dyed, deep engraven, deep fixed, deep grounded, deep laid, deep rooted, deep seated, deep set, deep settled, dyed… …   Moby Thesaurus

  • well-grounded — Synonyms and related words: adamantine, admissible, authoritative, binding, bulky, calculable, cogent, confirmed, consistent, credible, deep dyed, deep engraven, deep fixed, deep grounded, deep laid, deep rooted, deep seated, deep set, deep… …   Moby Thesaurus

  • well-built — Synonyms and related words: Junoesque, able bodied, adamantine, agreeable, amply endowed, assembled, athletic, becoming, bonny, braw, brawny, broad shouldered, built, built for comfort, bulky, burly, buxom, callipygian, callipygous, cast, comely …   Moby Thesaurus

  • founded — 1. verb a) To set up; to launch; to institute. b) Use as a basis for; grounded on. 2. adjective Having a basis. She offered a well founded hypothesis …   Wiktionary

  • Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… …   Wikipedia

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