Set Theory Basics

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Flashcards covering key vocabulary terms and definitions related to set theory.

Last updated 3:45 PM on 4/9/25
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10 Terms

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Set

A collection of objects, also known as elements.

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Element

An individual object within a set.

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Subset

A set S is a subset of set T if every element of S is also an element of T.

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Superset

A set T is a superset of set S if it contains every element of S.

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Empty set

A set that contains no elements, denoted by Æ or { }.

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Cardinality

The number of elements in a set, denoted as |S|.

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Powerset

The set of all subsets of a set S, written as P(S).

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Union of sets

The set containing all elements in either set S or set T or both, denoted by S È T.

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Intersection of sets

The set containing only elements that are in both sets S and T, denoted by S Ç T.

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Proper subset

A set S is a proper subset of T if S is a subset of T and S is not equal to T.