What is the case for the Q hypothesis?
The case for Q rests on the independence of Matthew and Luke and is framed in terms of the failure to prove that Luke is dependent upon Matthew (or vice versa). If Matthew and Luke are independent, the double tradition must be explained by an indirect relationship upon common material, called Q. Arguments in favor of the independence of Matthew and Luke include: the disuse of the other’s additions within the triple tradition and the apparent mutual primitivity of the double tradition.