Define Set in algebra

Answer 1

A set is a group of objects that has a well defined criterion for inclusion within the group.

For example: The set of Yankee Baseball players on the 2010 roster.

This set would include Derek Jeter but not Mike Lowell ( on the hated Red Sox).

It would also not include Joe DiMaggio or Yogi Berra because they were on earlier Yankee squads.

A set can be defined by either a rule as the example above or by listing each of its members for example { Jeter, Texeira, Posada, Sabathia, Pettite, Cano, Alex Rodriquez, ..}

The number of elements that belong to a set is not a defining factor of the set but when a set has an infinite number of elements then the rules of behavior for that set are slightly different. Look up Georg Cantor for more information on infinite sets.

Answer 2

a set is a group of objects that has a well defined criterion for inclusion within the group.