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Since Matthew was the primary source for Luke, and Matthew's gospel (the only published gospel at the time) would have been well known to Peter, he mostly would have preached on the contents of Matthew. Knowing Matthew better than Luke, Peter was more likely to mention details found in Matthew and not Luke than vice versa. This would explain ...
The Augustinian hypothesis (sometimes referred to as the Augustinian Proposal) is a solution to the synoptic problem, which concerns the origin of the Gospels of the New Testament. The hypothesis holds that Matthew was written first, by Matthew the Evangelist (see the Gospel According to the Hebrews and the Jewish-Christian Gospels).
Over three-quarters of Mark's content is found in both Matthew and Luke, and 97% of Mark is found in at least one of the other two synoptic gospels. Additionally, Matthew (24%) and Luke (23%) have material in common that is not found in Mark. [1] The calming of the storm is recounted in each of the three synoptic gospels, but not in John.
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 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.
In summary, the two-source hypothesis proposes that Matthew and Luke used Mark for its narrative material as well as for the basic structural outline of chronology of Jesus' life; and that Matthew and Luke use a second source, Q (from German Quelle, "source"), not extant, for the sayings (logia) found in both of them but not in Mark. [5]
Mark nearly always follows Matthew and Luke where they agree in order and one or the other when they disagree. On the other hand, the double tradition pericopae shared between Matthew and Luke show little agreement in order. [49] Such observations have been studied in detail for centuries, but the difficulty has been in how to interpret them. [50]
Matthew – a former tax collector (Levi) who was called by Jesus to be one of the Twelve Apostles; Mark – a follower of Peter and so an "apostolic man" Luke – a doctor who wrote what is now the book of Luke to Theophilus. Also known to have written the book of Acts (or Acts of the Apostles) and to have been a close friend of Paul of Tarsus