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The three-source hypothesis is a candidate solution to the synoptic problem.It combines aspects of the two-source hypothesis and the Farrer hypothesis.It states that the Gospel of Matthew and the Gospel of Luke used the Gospel of Mark and a sayings collection as primary sources, but that the Gospel of Luke also used the Gospel of Matthew as a subsidiary source.
The four-document hypothesis or four-source hypothesis is an explanation for the relationship between the three Gospels of Matthew, Mark, and Luke.It posits that there were at least four sources to the Gospel of Matthew and the Gospel of Luke: the Gospel of Mark and three lost sources (Q, M, and L).
The Matthean Posteriority hypothesis is similar to the Farrer hypothesis but has Matthew using Luke as a source (Mark → Luke → Matthew), rather than vice versa. A final hypothesis holds that Matthew and Luke have no literary relationship beyond their dependence on Mark, but rather each supplemented the triple tradition with oral sources.
A variant of the Augustinian hypothesis, attempting to synchronise Matthew and Mark on the basis of the Mosaic "two witnesses" requirement of Deuteronomy 19:15 (Matthew + Mark → Luke), was proposed by Eta Linnemann, following rejection of the view of her teacher Rudolf Bultmann.
The hypothesis favored by most experts is Marcan priority, whereby Mark was composed first, and Matthew and Luke each used Mark, incorporating much of it, with adaptations, into their own gospels. Alan Kirk praises Matthew in particular for his "scribal memory competence" and "his high esteem for and careful handling of both Mark and Q", which ...
Matthew and Luke, however, also share large sections of text which are not found in Mark. They suggested that neither Gospel drew upon the other, but upon a second common source, termed the Q. [1] This two-source hypothesis speculates that Matthew borrowed from both Mark and a hypothetical sayings collection, called Q.
The Matthean Posteriority hypothesis, also known as the Wilke hypothesis after Christian Gottlob Wilke, is a proposed solution to the synoptic problem, holding that the Gospel of Mark was used as a source by the Gospel of Luke, then both of these were used as sources by the Gospel of Matthew.
Matthew has both Proto-Narrative and Mark qualities by harmonizing their texts together, which agrees with Luke through Proto-Narrative against Mark. While Robert Lindsey's research and pioneering thoughts helped form the basis of what began the Jerusalem School of Synoptic Research, he was only one of the members of the Jerusalem School.