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21 Cards in this Set

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Ordering Whole Numbers
Let a=n(A) and b=n(B)be whole numbers, where A & B are finte sets if A matches a proper subset of B we say that a is less than b and write a<b.
SUBSET

Set A ia a sub set of b if and only if every element of A is also an element of B
SET BUILDER
{x| x is one of the first 3 presidents of the United States}
COMPLIMENT OF SET A:
Comp of set A is set of elements in the Universal set which are not e of A
A{x| x e U & x e A}
Ordinal Number
Type of number called out by a raffle announcer. Are used to describe position of objects in an ordered sequence

ex: first, second, third, etc.
VENN DIAGRAMS:

A diagram where sets are represented as simple geometric figures, with overlapping and similarity of sets represented by intersections and unions of the figures.
One to one correspondence
when elements of sets A & B pair up with each other so that each element belongs to one and only one pair
INTERSECTION:

Intersection of 2 sets, A&B, is the set of elements common to both A & B
A n B {x| x e A & x e B}
WELL DEFINED
A set must be specific of what is to be included

Ex: {Paris France, Rome Italy}
UNION:

Union of sets A & B is set of all elementd in A & B
A u B {x| x e A or X e B}
UNIVERSE
Objects allowed for consideration into the sets
Properties of Set operations and relations
1. Transivity of inclusion

2. Communitivity of Union and intersection

3. Asscoiativity of Uniion and intersection

4. Properties of empty set

5. Distributive Properties of Union & intersection.
OPERATIONS ON SETS
Ways we can join two or more sets to make a new set.
Cardinal Number
Number of how many objects

ex. FOUR letter
WORD DESCRIPTION
Ex: The set of the first three Presidents of the USA
LISTING IN BRACES
{George Washington, John Adams, Thomas Jefferson}
Equivelent Sets
Sets A & B are equivelent if there's a 1-1 correspondence between them. When they match we say A~B
WHOLE NUMBERS
All the counting numbers including 0
ex: W= {0,1,2,3,...}

cardinal numbers of finite sets; the numberso f elements of finite sets.
ELEMENT OF A SET
An object, or number that is included in the set.
Identification or Nominal Number
Numbers that name or label objects

ex: Social Security Number, Phone number, Student ID, etc.
SETS
A collection of objects