Given a collection of sets, a member set that is not a proper subset of another member set is called a minimal set.

What is a minimal set?

Minimal sets are groups of words that are all the same except for one sound. Studying minimal sets can be really helpful when learning to hear individual sounds. Learning to hear individual sounds makes learning to pronounce individual sounds much, much easier.

What is minimal element of a set?

In mathematics, especially in order theory, a maximal element of a subset S of some preordered set is an element of S that is not smaller than any other element in S. A minimal element of a subset S of some preordered set is defined dually as an element of S that is not greater than any other element in S.