Set Theory

Front

What is a set?

Back

A set is a well-defined collection of distinct objects, considered as an object in its own right.

Front

What is a well-defined set?

Back

A well-defined set is a set where it is clear whether an object belongs to the set or not.

Front

What is an equal set?

Back

Two sets are equal if they contain exactly the same elements.

Front

What is an equivalent set?

Back

Two sets are equivalent if they have the same number of elements, regardless of the elements themselves.

Front

What is a finite set?

Back

A finite set is a set that has a limited number of elements.

Front

What is an infinite set?

Back

An infinite set is a set that has an unlimited number of elements.

Front

What is the union of two sets?

Back

The union of two sets A and B, denoted A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What is the intersection of two sets?

Back

The intersection of two sets A and B, denoted A ∩ B, is the set of elements that are in both A and B.

Front

What is a proper set?

Back

A proper set is a set that does not contain all the elements of another set.

Front

What is a subset?

Back

A set A is a subset of set B if all elements of A are also elements of B.