Is Maximal a Set?

In mathematics, specifically set theory, the term maximal set is often used to define specific sets in an elegant manner. In layman's terms, a maximal set describes a set that is "as large as possible". Without using this term, definitions of particular sets can get very cumbersome.

What does it mean for a set to be maximal?

A member of a collection of sets is said to be maximal if it cannot be expanded to another member by addition of any element.

What does maximal mean in math?

Share Give Feedback External Websites. Maximum, In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum.