Re-reading my recent post addressed to atrib, it seems almost rude. But I get frustrated: People ask about Bayesian analysis, then ignore that concept and focus on specific evidence. Let's crawl before we try to walk. For this post, let's ignore anything we think we know about specific Jesus evidence and focus just on the method of Bayes. I'll start with a very simple application. Consider it a thought experiment.
You and a strange woman are the only customers at a graveyard-shift crap table. The lady has just made a pass-line bet and you toss a $100 chip on the table saying "Any Craps." But the chip rolls over toward the stickman. At the same time the dice are rolled.
Perhaps startled by the size of the bet, the stickman asks you if you want change or what. He deliberately blocks your view of the dice with his body waiting for your answer, but you catch a glimpse of a single die: It shows an Ace. The shooter can see both dice and is jumping up and down in apparent excitement.
What is the chance you will win the Any Craps bet? Never mind if you've forgotten the rules of Craps; I'll do the arithmetic for you.
(A) 11.1%. It was wrong of me to glimpse the Ace, so I'll assume it didn't happen.
(B) 33.3%. Easy-peasy. Two chances in six.
(C) Zero. The woman is jumping up and down! She's won her pass-line bet.
(D) 33.3%. The woman hasn't even looked at the dice. She is jumping up and down because she urgently needs to go to the bathroom.
(E) P×33.3%, where P is my weighted probability estimate of the woman's motive for jumping.
(F) 33.3% I don't know why the woman is jumping, so must ignore that clue.
(G) Zero. Too complicated. Whatever it is, I must assume it didn't happen.
(H) I don't know.
Here's a clearer example. In his Book XX, Josephus confirms the identity of the "Lord's brother" Paul describes in
Galatians 1:19:
Flavius Josephus said:
So [Ananus] assembled the sanhedrim of judges, and brought before them the brother of Jesus who was called Christ, whose name was James: and some of his companions. And when he had formed an accusation against them as breakers of the law, he delivered them to be stoned.
Mythical men do NOT have flesh-and-blood brothers. If Josephus really wrote this, it would show that he thought Jesus called Christ was a real historical person. The evidentiary value would be HUGE.
But was this Josephus text doctored in the 3rd or 4th century by a Christian? I don't know; do you?
We don't know Josephus wrote this. Even if we were to accept Josephus as the author, we have no way to verify his sources.
You don't know if Josephus wrote this, or the probability he wrote it is Zero? Those are NOT the same two things. (If you're not sure why the shooter is jumping does that compel you to disregard that clue?)
I don't know what the odds are because there is insufficient information. That is the point.
So: Returning to the thought experiment, you have insufficient information to be sure why the woman is jumping up and down so you ignore that clue. Is this because you don't understand probabilities? Or you do know a little about them, but the estimations and calculations are too tedious?