
A set can be described as a collection of objects. The objects of a particular set are termed to be its elements. The creation history of set theory is unique compared to other areas of mathematics. The main reason the set theory was created was to discuss collections of objects representing a particular set. To describe some of the most complex and mathematical structures, set theory can be utilised and is considered a very important tool.
The following are some of the most common examples of sets:
In the above examples, the collection of the greatest football players is not well-defined. So it is better to focus only on defined sets in order to obtain accurate results.
Below mentioned are the three ways in which one can define sets:
For instance, the following is the representation of a set of odd natural numbers that lie between the interval of 2 and 14 in all three forms, such as descriptive, roster (listing) and set builder form:
Descriptive form: Example - The collection of all the odd counting numbers from 2 to 14.
Roster (listing) form: Example - {3, 5, 7, 9, 11, 13}.
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