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The Basic Concepts of Set Theory
Symbols & Terminology
14
Mathematics
Undergraduate 2
02/12/2010

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Cards

Term
Elements/Members
Definition
Objects belonging to the set; Designated in 3 ways: A Word Description, Listing Method, & Set Builder Notation.
Term
Empty Set/Null Set
Definition
The set containing no elements. Symbols: ∅ or { } .
Term
SET
Definition
A collection of objects.
Term
∈ & ∉
Definition
Replaces the words: "is an element of." & ∉ means "not an element of"
Term
Natural or Counting Numbers
Definition
{ 1, 2, 3, 4, . . . }
Term
Whole Numbers
Definition
{ 0, 1, 2, 3, 4, . . . }
Term
Integers
Definition
{ . . . ,-3, -2, -1, 0, 1, 2, 3, 4, . . . }
Term
Rational Numbers
Definition
{ p/q | p and q are integers and q ≠ 0 }
Term
Real Numbers
Definition
Anything on the number line; { x| x is a number that can be expressed as a decimal }
Term
Irrational Numbers
Definition
{ x| x is a real number that can not be expressed as a quotient of integers }
Term
Cardinal Number/Cardinality
Definition
The number of elements in a set. n(A) or "n of A," represents the cardinal number of set A. If they repeat in a set, they are not counted more than once.
Term
Finite Set
Definition
The cardinal number of this set is a particular whole number (0 or counting number/a counting number).
Term
Infinite Set
Definition
A cardinal number is not found; too large too count. ∞ (symbol).
Term
Set Equality
Definition
Set A is equal to set B provided the following two conditions are met: 1. Every element of A is an element of B and 2. Every element of B is an element of A. Regardless of order.
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