- well founded set
- вполне фундированное множество
English-Russian scientific dictionary. 2008.
well founded set
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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
