This document discusses using double dispatch to determine which method to invoke based on both the receiver and an argument. It provides examples of printing documents using type checks, which has drawbacks when new document types are added. Double dispatch solves this by having the receiver send a message back to the argument, passing itself as an argument, allowing the most specific method to be invoked based on both objects. It also provides a number coercion example where double dispatch avoids type checks by having integers and floats dispatch to primary operations on each other.