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wellfounded
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The answer WELLFOUNDED has 2 possible clue(s) in existing crosswords.
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Definitions of wellfounded in various dictionaries:
WELLFOUNDED - In mathematics, a binary relation, R, is called well-founded (or wellfounded) on a class X if every non-empty subset S X has a minimal element with ...
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Possible Crossword Clues |
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Based on solid evidence |
Having good grounds |
Last Seen in these Crosswords & Puzzles |
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Oct 12 2017 The Guardian - Quick crossword |
Mar 27 2002 The Guardian - Quick crossword |
Wellfounded might refer to |
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In mathematics, a binary relation, R, is called well-founded (or wellfounded) on a class X if every non-empty subset S X has a minimal element with respect to R, that is an element m not related by sRm (for instance, "s is not smaller than m") for any s S. In other words, a relation is well founded if* * * * ( * * S * * X * ) * * S * * * * * * ( * * m * * S * ) * ¬ * ( * * s * * S * ) * * s * R * m * . * * * {\displaystyle (\forall S\subseteq X)\;S\neq \emptyset \implies (\exists m\in S)\lnot (\exists s\in S)\;sRm.} * Some authors include an extra condition that R is set-like, i.e., that the elements less than any given element form a set. * Equivalently, assuming the axiom of choice, a relation is well-founded if it contains no countable infinite descending chains: tha |