ABSTRACT

The classical interpretation of chapter 2 took chances, like the chance Ch (H) of a coin toss landing heads, to measure possibilities that are contingent, quantitative and — in the sense explained in 2. II — metaphysical rather than epistemic. Moreover, since these possibilities include the possible truth of singular propositions like ‘This coin toss lands heads’, this view lets a Ch (H) whose value is p, where 0<p<1, be what in chapter 3.III I called a single-case chance, which on the frequency views of chapter 3 it cannot be.