well-founded
1well-founded — /wel fown did/, adj. having a foundation in fact; based on good reasons, information, etc.: well founded suspicions. [1325 75; ME] * * * …
2Well-founded phenomenon — Well founded phenomena ( la. phenomena bene fundata), in the philosophy of Gottfried Leibniz, are ways in which the world falsely appears to us, but which are grounded in the way the world actually is (as opposed to dreams or hallucinations,… …
3Well-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… …
4Well-founded semantics — The well founded semantics is a three valued version of the stable semantics. That is, instead of only assigning propositions true or false , it also allows for a value representing ignorance. For example, if we know thatSpecimen A is a moth if… …
5well-founded — adjective Date: 14th century based on excellent reasoning, information, judgment, or grounds …
6Non-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… …
7founded — adj. based; often used as combining terms; as, well founded suspicions. Syn: based. [WordNet 1.5] …
8Well-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… …
9Well-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… …
10well-grounded — /wel grown did/, adj. 1. based on good reasons; well founded: His opposition to the scheme is well grounded. 2. well or thoroughly instructed in the basic principles of a subject: She is well grounded in mathematics. [1325 75; ME] * * * …
