%0 Journal Article %T Probability theory and its models %A Paul Humphreys %J Mathematics %D 2008 %I arXiv %R 10.1214/193940307000000347 %X This paper argues for the status of formal probability theory as a mathematical, rather than a scientific, theory. David Freedman and Philip Stark's concept of model based probabilities is examined and is used as a bridge between the formal theory and applications. %U http://arxiv.org/abs/0805.2801v1