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Topic: Naive set theory


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Set

In the News (Sun 22 Nov 09)

  
 naive set theory - Article and Reference from OnPedia.com
is distinguished from axiomatic set theory by the fact that the former regards sets as collections of objects, called the elements or members of the set, whereas the latter regards sets only as that which satisfies certain axioms.
Sets are of great importance in mathematics; in fact, in modern formal treatments, every mathematical object (numbers, relations, functions, etc.) is defined in terms of sets.
Naive set theory was created at the end of the 19th century by Georg Cantor in order to allow mathematicians to work with infinite sets consistently.
www.onpedia.com /encyclopedia/Naive-set-theory   (2027 words)

  
 Online Encyclopedia and Dictionary - Naive set theory
This is the set consisting of all objects which are elements of A or of B or of both (see axiom of union).
The intersection of A and B is the set of all objects which are both in A and in B.
Finally, the relative complement of B relative to A, also known as the set theoretic difference of A and B, is the set of all objects that belong to A but not to B.
www.fact-archive.com /encyclopedia/Naive_set_theory   (2700 words)

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