Again, we can get a clearer sense of the actual overlap and differences in each evangelist's use of Mark by noting the Markan sections line by line:
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We agree with your sentiment that no proposed theory of priority or dependance is 'air-tight'.What do you think about Matthew being said early on by a contemporary of John (Papias) that Matthew was written first and originally in Hebrew? It would make sense, as Matthew's audience seems to be the Jews. I believe scholars tint their research too much by ignoring this historical evidence, and partake of Eusebius' bias against Papias because of his disagreement with Papias' millenialism. Eusebius was overtly biased, and it seems many scholars seem to take him at his word that Papias was wrong despite the bias.
I agree that Luke used sources, as his intent was to present the truth to refute the incorrect writings circulating at the time. He was a physician, and would likely have relied on lots of study before writing. The historical writing that Mark recorded Peter's sermons in Rome before Peter's death at the request of the Romans to preserve what was said could easily have been supplemented by Peter's use of Matthew, which would answer the issue of similarity between these two.
I do not think Matthean or Markan priority have air-tight support, but believe these are likely the answer. I think the Independent Theory is possible, but that the historical writings seem to support a priority and a reliance of other writers. I find it difficult that an apostle (Matthew) would copy from someone who was not an apostle (Mark), even if Mark was simply recording Peter's (a chief apostle) sermon for the Romans. But, that would put Matthew's writing too late, it seems, and contradicts the historical record that remains.
Most of what I have read on this topic does not successfully defeat other theories, but ignores key arguments in their writings. It is an interesting topic, nonetheless.
In Him,
Dave