# Symmetric difference

### From Conservapedia

The **symmetric difference** between two sets A and B (denoted AΔB) is given as:
.
This operator is symmetric in that AΔB=BΔA. Also, AΔA is the empty set, while the symmetric difference of the empty set with any set is that set.

The set-theoretic operator Δ obeys several laws:

Symmetric differences are used to create filters for forcing constructions.