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set theory |
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set theoryBranch 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 terminology and concepts. These include the operations of union (∪), and intersection (∩). The union of two sets is a set containing all the elements of both sets, each listed once. The intersection is the set of all elements common to both original sets. Set theory is useful in analyzing difficult concepts in mathematics and logic. It was placed on a firm theoretical footing by Georg Cantor, who discovered the value of clearly formulated sets in the analysis of problems in symbolic logic and number theory. set theoryThe branch of mathematics or logic that is concerned with sets of objects and rules for their manipulation. UNION, INTERSECT and COMPLEMENT are its three primary operations and they are used in relational databases as follows. set theory 1. Maths the branch of mathematics concerned with the properties and interrelationships of sets 2. Logic a theory constructed within first-order logic that yields the mathematical theory of classes, esp one that distinguishes sets from proper classes as a means of avoiding certain paradoxes set theory [′set ‚thē·ə·rē] (mathematics) The study of the structure and size of sets from the viewpoint of the axioms imposed.
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| Salton presents retrieval models in set-theoretic terms, though there is no reason why vectors could not be used to model retrieval at the same level of abstraction: John W. |
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