Ideally, a full-fledged and satisfactory confirmation model c(H,E) would meet a series of desiderata, including the following: (1) c(H,E) should be grounded on some simple and intuitively appealing “core intuition”; (2) c(H,E) should exhibit a set of properties which formally express sound intuitions; (3) it should be possible to specify the role and relevance of c(H,E) in science as well as in other forms of inquiry. In this paper we will focus on accounts of confirmation arising from the Bayesian framework and we will mainly address issues (1) and (2).