MTH102 | Mth102 Short Lecture 01. What is Set? How many types of set?
MTH102 | Mth102 Short Lecture 01. What is Set? How many types of set? Sets and Numbering Systems The study of Mathematics begins with a study of sets and the development of the numbering systems. Every mathematical system can be represented as a “set”; therefore, it is important for us to understand the definitions, notations and properties of “sets” • Definition: A set is an unordered collection of distinct objects. Objects in the collection are called elements of the set. • Examples: o The collection of persons living in Lahore is a set. Each person living in Lahore is an element of the set. o The collection of all towns in the Punjab province is a set. Each town in Punjab is an element of the set. o The collection of all quadrupeds is a set. Each quadruped is an element of the set. o The collection of all four-legged dogs is a set. Each four-legged dog is an element of the set. o The collection of counting numbers is a set. Each counting number is an element of the set