| A | B |
|---|
| Finite set | A set that can be put into a 1-1 correspondence with the set of natural numbers |
| Infinite set | A set whose elements cannot all be counted |
| Reflexive property | An element is equal to itself |
| Commutative property of addition | The order in which two numbers are added does not matter |
| Associative property | The order in which numbers are grouped when being added does not matter |
| Transitive property | Two quantities equal to the same quantity are equal to each other |
| Symmetric property | If a first quantity is equal to a second quantity, then the second quantity is equal to the first quantity |
| Relative complement | Set difference |
| Numeral | The symbol that represents a number |
| Number | An idea or abstraction that represents a quantity |
| Null set | A set that has no elements; the empty set |
| Cardinal number | A number used to describe a quantity |
| Ordinal number | A number used to describe the order in which elements or items appear |
| Function | A relation that matches each element of a first set to one and only one element of a second set |
| Cartesian product | Written as A x B, the set of all ordered pairs (a,b), where A is an element of A and b is an element of B |
| n(A) | The number of elements in a set A |
| Closure property of addition | The sum of any two (or more) elements in a set will be an element in that set |
| Identity property of addition | There is a unique integer such that when it is added to any integer, the result is the original integer |
| Disjoint sets | Sets that have no elements in common |
| Complement of a set | The elements in the universal set that are not in the given set |
