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The traditional authors assigned to the four gospels are Matthew, Mark, Luke, and John, as suggested by the names of these books. Mathew and John were two of the disciples of Jesus the Apostles. Mark is said to be the translator for Peter, so Mark's Gospel derives it's apostolic authority from Peter. Luke is the "beloved physician" mentioned by Paul, and so Luke's Gospel gets its authority from the Apostle Paul.
The traditional view is disputed scholars, of course. Those who disagree with the traditional view do not assign known authors to the Gospels, except perhaps for Luke.
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Of course, knowing which gospel was the earliest of the New Testament gospels does not tell us who actually wrote it. All the New Testament gospels were originally anonymous and only attributed to the apostles whose names they now bear, later in the second century. Biblical scholars say there is no good reason to accept those attributions, so we do not know who actually wrote Mark's Gospel.
However, some believe the author of this Gospel copied most of his information about the life of Jesus from Mark's Gospel. The author did not have any first hand knowledge of the life of Jesus and therefore the author could not have been the disciple called Matthew. We are back in the position where we do not know the name of the author.
What we can say is that the author of Matthew's Gospel was a Jew, literate in the Greek language and very familiar with the (Septuagint) Greek version of the Hebrew Bible.
These books are anonymous. They do not purport to have been written by Matthew, Mark, Luke and John. Their titles do not affirm it. They simply imply that they are "according" to the supposed teachings of these Evangelists. As Renan says, "They merely signify that these were the traditions proceeding from each of these Apostles, and claiming their authority." Concerning their authorship the Rev. Dr. Hooykaas says: "They appeared anonymously. The titles placed above them in our Bibles owe their origin to a later ecclesiastical tradition which deserves no confidence whatever" (Bible for Learners, Vol. III, p. 24).
It is claimed that the Gospel of Matthew originally appeared in Hebrew. Our version is a translation of a Greek work. Regarding this St. Jerome says: "Who afterwards translated it into Greek is not sufficiently certain." The consequences of this admission are thus expressed by Michaelis: "If the original text of Matthew is lost, and we have nothing but a Greek translation then, frankly, we cannot ascribe any divine inspiration to the words."
The contents of these books refute the claim that they were written by the Evangelists named. They narrate events and contain doctrinal teachings which belong to a later age. Matthew ascribes to Christ the following language: "Thou art Peter, and Upon this rock I will build my Church" (xvi, 18). This Gospel is a Roman Catholic Gospel, and was written after the beginning of the establishment of this hierarchy to uphold THC supremacy of the Petrine Church of Rome. Of this Gospel Dr. Davidson says : "The author, indeed, must ever remain unknown'. (Introduction to New Testament, p. 72).
The disciple MatthewMatthew the disciple of Jesus Christ and former tax collector. Although not accepted by some, Matthew's authorship is most likely given the fact that authorship identity was important for the early church in terms of the credibility it attached to the document. This is also why, if Matthew was not the author, there would then be multiple alternative suggested authors. In fact, if the identity of the author was uncertain in any way, as it apparently was with several other books, there would have been difficulty with its being included in the canon of scripture. The fact is, the early witness is unanimously to Matthew. No-one else is claimed or can be demonstrated to have been the author.Matthew himself, having held the hated position of tax collector on behalf of the Roman rulers, obviously had the ability. Some consider Matthew, originally believed to have been written in Aramaic and obviously addressed to a Jewish audience, given its Jewish flavor, to have been the first written in that language. The later version in Greek which is what we base our current textual knowledge, was obviously a slightly later version, but obviously within the time-frame prior to 70AD.
Biblical scholars say that there is no good reason to accept these attributions. They also say that none of the gospels could have been written by eyewitness to the events portrayed, which certainly eliminates Matthew and John as possible authors. Luke's Gospel was written around the end of the century, far too late to have been written by Luke, the physician and companion of Paul. Also, the author of Luke relied on Mark's Gospel foreverything he knew about the life and mission of Jesus, whereas Paul's companion Luke could be expected to have learnt something about Jesus from Paul himself. There are other reasons for excluding Mark as a gospel author.
The Church Fathers did not really know who wrote the gospels, and neither do we.
The synoptic gospels (Matthew, Mark and Luke) were written anonymously, as was the Gospel of John. It was only later in the second century that the New Testament gospels were attributed to the disciples whose names they now bear. However, there is no good reason to believe that these disciples were the real authors. Analysis of the gospels show that they could not have been written by eyewitnesses to the events they protray, nor by acquaintances of any eyewitnesses. This evidence rules out the apostles Matthew, Mark and Luke, or any other New Testament disciple.
We do not know who wrote the synoptic gospels, but we do know that they were written between 70 CE and the end of the century.
first it was Mark then it was Luke then it was Matthew then it was John
Mark's gospel was written in 70 A.D.
Luke's gospel was written in 75 A.D.
Matthew's gospel was written in 85 A.D.
John's gospel was written in 90-100 A.D.
The Gospels were written by Matthew, Mark, Luke, and John.
Chronologically they were written in this order:
Mark- A.D. 50
Matthew- A.D. 58
Luke- Around A.D. 60
John- Around A.D. 95
Scholars do say that the four gospels were not assigned to any authors until well into the second century. Even as late as the 140s, Marcion simply referred to Luke's Gospel as "the Gospel", indicating that he was not aware of it having been attributed to any author.
Eventually, the Church Fathers tried to establish who, in their view, would most likely have been the authors.
John Carroll (The Existential Jesus) says that the author of Matthew copied something like 80% of Markvirtually word for word. His reliance on Mark for the story of Jesus shows that he was not the disciple Matthew, as once supposed. John Shelby Spong (Born of a Woman: A bishop rethinks the birth of Jesus) says that the author of Matthew, writing between 80 and early 90s CE, was a Jew familiar with midrash storytelling, but his primary language must have been Greek. There are few other clues as to the possible identity of the author of Matthew's Gospel.