Problems with Luke as the Author of Luke

In my previous post I gave the logic that can be adduced for thinking that the Third Gospel was probably written by Luke, the gentile physician who was a companion of Paul for part of his missionary journeys. The short story, in sum: the author of Luke also wrote the book of Acts; the book of Acts in four places talks about what “we” (companions with Paul) were doing; both books were therefore written by one of Paul’s companions; Acts and Luke appear to have a gentile bias; only three of Paul’s companions were known to be gentiles (Colossians 4:7-14); Luke there is a gentile physician; Luke-Acts appears to have an enhanced interest in medical terminology; therefore Luke the gentile physician was probably its author. Now, for a couple of posts or so, I’ll try to explain why, in my opinion, this logic is flawed. In this post and the next (at least) I’ll deal with a lynchpin of the argument, that we know that Luke the gentile physician was a travelling companion of Paul. [...]