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STAT 2060 (4)

# Set Theory Symbols

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School
University of Guelph
Department
Statistics
Course
STAT 2060
Professor
Tony Desmond
Semester
Fall

Description
Table of set theory symbols Symbol Symbol Name Meaning / definition Example { } set a collection of elements A = {3,7,9,14}, B = {9,14,28} objects that belong to set A ∩ B intersection A and set B A ∩ B = {9,14} objects that belong to set A ∪ B union A ∪ B = {3,7,9,14,28} A or set B subset subset has fewer elements A ⊆ B or equal to the set {9,14,28} ⊆ {9,14,28} proper subset / subset has fewer elements A ⊂ B strict subset than the set {9,14} ⊂ {9,14,28} left set not a subset of A ⊄ B not subset {9,66} ⊄ {9,14,28} right set superset set A has more elements A ⊇ B or equal to the set B {9,14,28} ⊇ {9,14,28} proper superset set A has more elements A ⊃ B strict superset than set B {9,14,28} ⊃ {9,14} set A is not a superset of A ⊅ B not superset {9,14,28} ⊅ {9,66} set B 2A power set all subsets of A power set all subsets of A A={3,9,14}, equality both sets have the same B={3,9,14}, A = B members A=B c complement all the objects that do not A belong to set A A = {3,9,14}, relative objects that belong to A B = {1,2,3}, A \ B complement and not to B A \ B = {9,14} relative objects that belong to A A = {3,9,14}, A - B B = {1,2,3}, complement and not to B A - B = {9,14} symmetric objects that belong to A or= {3,9,14}, A ∆ B B but not to their B = {1,2,3}, difference intersection A ∆ B = {1,2,9,14} symmetric objects that belong to A or= {3,9,14}, A ⊖ B B but not to their B = {1,2,3}, difference intersection A ⊖ B = {1,2,9,14} element of set membership a∈A A={3,9,14}, 3 ∈ A x∉A not element of no set membership A={3,9,14}, 1 ∉ A (a,b) ordered pair collection of 2 elements set of all ordered pairs A×B cartesian product from A and B |A| cardinality the number of elements ofA={3,9,14}, |A|=3 set A the number of elements of #A cardinality set A A={3,9,14}, #A=3 aleph-null infinite cardinality of natural numbers set cardinality of countable aleph-one ordinal numbers set Ø empty set Ø = { } C = {Ø} universal set set of all possible values natural numbers / whole = {0,1,2,3,4,...} 0 numbers set 0 0 ∈ 0 (with zero) natural numbers / 1 whole 1= {1,2,3,4,5,...} 6 ∈ 1 numbers set (without zero) integer numbers = {...-3,-2,- set -6 ∈ 1,0,1,2,3,...} rational numbers set = {x | x=a/b, a,b∈ } 2/6 ∈ real numbers set = {x | -∞ < x
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