This paper considers varieties of probabilism capable of distilling paradox-free qualitative doxastic notions (e.g., full belief, expectation, and plain belief) from a notion of probability taken as a primitive. We show that core systems, collections of nested propositions expressible in the underlying algebra, can play a crucial role in these derivations. We demonstrate how the notion of a pro...

This paper aims to examine the theoretical context of the synchronic and diachronic versions of the Dutch Book argument. The paper begins with a brief characterization of the significance of making an interpretation of the theory of probability after Kolmogorov’s contribution. Following this, the core of an intended model – i.e., subjective probability or degrees of belief – will be described a...