A. Irenaeus (130-200) (Adv. Haer. 3.1.1; also quoted by Eusebius, H.E. 5.8.2): "Now Matthew brought forth among the Hebrews a written gospel in their language,
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B. Origen (185-254) (as quoted by Eusebius, H.E. 6. 25.3-4) asserts, "Among the four Gospels, which are the only indisputable ones in the Church of God under heaven, I have learned by tradition that the first was written by Matthew, who was once a tax collector, but afterwards an apostle of Jesus Christ, and it was prepared for the converts from Judaism, and published in the Hebrew [or Aramaic] language."
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C. There is a tradition cited by Eusebius, alleged to have originated with a man named Pantaenos (died c. 190), who was associated with the church in Alexandria, that there once existed a Gospel of Matthew written “in Hebrew letters”
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D. Eusebius reports the view current in his time is that Matthew's gospel was based on his preaching to Palestinian Jews, whose first language no doubt would have been Aramaic. Naturally, Matthew's gospel would have been written in Aramaic.
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E. Jerome (342-420) more than once asserts that Matthew wrote his gospel in Hebrew
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F. In describing the Jewish Christian sect known as the Nazarenes, Epiphanius (315-403) writes, "They have the Gospel according to Matthew quite complete in Hebrew,