The Resurrection of God Incarnate
You may think this is a little off topic. But I want to point out the existence of this book: The Resurrection of God Incarnate by Richard Swinburne. What makes it on topic is that he uses Bayes' Theorem to conclude that there is a 97% chance that Jesus was God incarnate who rose from the dead. I also found this paper on ths subject and some related work here. There has been a long tradition of using logic and mathematics to argue for the existence of God - the most well known being Pascal's wager, but these look like the most sophisticated attempts I have seen so far. I haven't yet taken the time to study either this book or the papers and so I make no comment. But maybe you'd like to.