Download Table of set theory symbols

Set Theory Symbols
List of set symbols of set theory and probability.
Table of set theory symbols
A∩B
Example
Symbol Name Meaning / definition
a collection of
A = {3,7,9,14},
set
elements
B = {9,14,28}
objects that belong to
intersection
A ∩ B = {9,14}
set A and set B
A∪B
union
Symbol
{}
A⊆B
A⊂B
A⊄B
A⊇B
A⊃B
A⊅B
2A
objects that belong to A ∪ B =
set A or set B
{3,7,9,14,28}
subset has fewer
subset
elements or equal to {9,14,28} ⊆
{9,14,28}
the set
proper subset / subset has fewer
strict subset
elements than the set {9,14} ⊂ {9,14,28}
left set not a subset of
not subset
{9,66} ⊄ {9,14,28}
right set
set A has more
superset
elements or equal to {9,14,28} ⊇
{9,14,28}
the set B
proper superset set A has more
{9,14,28} ⊃ {9,14}
/ strict superset elements than set B
set A is not a superset
not superset
{9,14,28} ⊅ {9,66}
of set B
power set
all subsets of A
power set
all subsets of A
equality
both sets have the
same members
Ac
complement
all the objects that do
not belong to set A
A\B
relative
complement
A-B
relative
complement
A=B
A={3,9,14},
B={3,9,14},
A=B
A = {3,9,14},
objects that belong to
B = {1,2,3},
A and not to B
A-B = {9,14}
objects that belong to A = {3,9,14},
A and not to B
B = {1,2,3},
A-B = {9,14}
A = {3,9,14},
B = {1,2,3},
A ∆ B = {1,2,9,14}
A = {3,9,14},
B = {1,2,3},
A∆B
symmetric
difference
objects that belong to
A or B but not to their
intersection
A⊖B
symmetric
difference
objects that belong to
A or B but not to their
intersection
A ⊖ B = {1,2,9,14}
a∈A
element of
set membership
x∉A
not element of no set membership
(a,b)
ordered pair
A×B
cartesian
product
|A|
cardinality
#A
cardinality
aleph-null
aleph-one
Ø
empty set
universal set
0
1
real numbers
set
A={3,9,14}, 1 ∉ A
collection of 2
elements
set of all ordered pairs
from A and B
the number of
A={3,9,14}, |A|=3
elements of set A
the number of
A={3,9,14}, #A=3
elements of set A
infinite cardinality of
natural numbers set
cardinality of
countable ordinal
numbers set
Ø={}
C = {Ø}
set of all possible
values
natural
numbers /
whole
0 = {0,1,2,3,4,...}
numbers set
(with zero)
natural
numbers /
whole
1 = {1,2,3,4,5,...}
numbers set
(without zero)
integer
= {...-3,-2,numbers set
1,0,1,2,3,...}
rational
numbers set
A={3,9,14}, 3 ∈ A
= {x | x=a/b,
a,b∈
}
= {x | -∞ < x <∞}
0∈
0
6∈
1
-6 ∈
2/6 ∈
6.343434 ∈
complex
numbers set
= {z | z=a+bi, ∞<a<∞,
-∞<b<∞} 6+2i ∈