Notation for Set Theory
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| The set with elements |
| The set of all |
| The number of elements in set |
| The empty set |
| The universal set |
| The complement of the set |
| The set of natural numbers 1, 2,... |
| The set of integers |
| The set of positive integers 1, 2,... |
| The set of integers modulo |
| The set of rational numbers |
| The set of positive rational numbers |
| The set of positive real numbers |
| The set of non negative real numbers |
| The set of complex numbers |
| The ordered pair |
| The cartesian product of sets |
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| The union of sets |
| The intersection of sets |
| The closed interval |
| The open interval |
| The half open interval |
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is an element of set
such that the statement is true
or 
where
and 
are whole numbers
and 
are whole numbers
with 
where
is related to
by the relationship
