answersLogoWhite

0

A set is a gathering together into a whole of definite, distinct objects of our perception and of our thought - which are called elements of the set.

There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description:A is the set whose members are the first four positive integers.B is the set of colors of the French flag.

The second way is by extension - that is, listing each member of the set. An extensional definition is denoted by enclosing the list of members in curly brackets:C = {4, 2, 1, 3}D = {blue, white, red}.

Every element of a set must be unique; no two members may be identical. (A multiset is a generalized concept of a set that relaxes this criterion.) All set operations preserve this property. The order in which the elements of a set or multiset are listed is irrelevant (unlike for a sequence or tuple). Combining these two ideas into an example{6, 11} = {11, 6} = {11, 11, 6, 11}

because the extensional specification means merely that each of the elements listed is a member of the set.

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor

Add your answer:

Earn +20 pts
Q: What are the examples of well-defined sets?
Write your answer...
Submit
Still have questions?
magnify glass
imp