Set Theory Flashcards
What is a set?
A set is an unordered collection of different elements
Set can be represented in 2 forms which are
i. Roster or Tabular form
ii. Set Builder Notation
Set can also be defined by
Set comprehension
There are 2 versions of set theory
i. Axiomatic set theory
ii. Naive set theory
An element denoted by |A| is known called
Cardinality of set
What does cardinality of set mean?
It is the number of elements of the set denoted by |A|
A finite set is
A set which contains a definite number of elements. E.g A = {x|x€ N and 70 > x > 50}
An infinite set is
A set which contains infinite number of elements. E.g A = {x|x€ N and x > 50}
Numbers which you can write as a fraction are called
Rational numbers
Cardinality is also known as
Size
The size of the empty set is
Zero
What is the size of the set containing the empty set?
One
In set Builder notation elements are defined as
Variables
A set that contains only one element is known as
Singleton or Unit set
The empty set is a subset of every set. True or false
True
