## Viewing Set Theory topics

The following topics are immediate sub-topics of Set Theory.

• #### Term: Axiom Of Choice

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• Definition: Given a collection S of disjoint nonempty sets, there exists a set C consisting of exactly one element from each element of S; that is, a set C such that C is contained in the union of S, and for e...
• #### Term: Bijective

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• Definition: If a function is both injective and surjective, it is said to be bijective (or is called a one-to-one correspondence).
• #### Term: Cardinality

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• Definition: The cardinality of a set is the cardinal number indicating the number of elements in the set.
• #### Term: Cartesian Product

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• Definition: The Cartesian product of two sets A and B (also called the product set, set direct product, or cross product) is defined to be the set of all points (a,b) where a in A and b in B. It is denoted AxB...
• #### Term: Choice Function

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• Definition: Given a collection B of nonempty sets (not necessarily disjoint), there exists a function c:B -> {arbitrary union A, where A is in B} such that c(A) is an element of A, for each A in B. The functi...
• #### Term: Conclusion

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• Definition: In a statement of the form, "If P, then Q," Q is called the conclusion of the statement.
• #### Term: Converse

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• Definition: Given a statement "P implies Q," the converse would be "Q implies P." A converse of a statement is not necessarily true.
• #### Term: De Morgan's Laws

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• Definition: The complement of the union equals the intersection of the complements. The complement of the intersection equals the union of the complements.
• #### Term: Dictionary Order Relation

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