I think it should be pointed out that bayesian's believe bayes theorem as a statement about plausibility of statements, so intuitions about an event space (which are obvious statements about sets) don't carry over to the general case.
This a very good 4 part series on the subject, with a focus (esp. in part 3) on how this affects scientific statements.
[1] http://bayes.wustl.edu/etj/prob/book.pdf
[2] http://blog.moertel.com/posts/2010-12-20-more-on-the-evidenc...