finite character


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finite character

[′fī‚nīt ′kar·ik·tər]
(mathematics)
A property of a family C of sets such that any finite subset of a member of C belongs to C, and C includes any set all of whose finite subsets belong to C.
A characteristic of a property of subsets of a set such that a subset S has the property if and only if all the nonempty finite subsets of S have the property.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Then C is of finite character. Now it follows from Tukey's lemma that, [for all][beta] [member of] C, there exists a maximal element [beta]' [member of] C containing [beta].
According to this type of ontology, the human living being is conceived as essentially determined by its own possibilities and, moreover, by the possibilities which are directly related to its finite character.
That is not to say that cost of the service dictates its use, but rather that the professional must recognize the finite character of agency resources and must try to locate the best service at the lowest cost.
The auctioneer is countered by the voice of the narrator, stubbornly and tenderly recounting the lives and stories behind every item, recording it all for a life beyond that of her finite characters. These items signify memories and lives, and the narrative act she performs on them is a way of holding on.

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