 These clauses are intended to work in finite as well as in infinite settings. However, in the latter case minor modifications might be needed akin to those in  conditional logic.  These have been proposed in various alternatives. Notably, this enriched epistemic-doxastic logic allows for further, less standard interpretations beyond those illustrated so far. Examples are ‘strong belief’, expressing that all relevant \(\varphi\)-states are more plausible than all relevant \(\neg\varphi\) states, or ‘safe belief’ saying that \(\varphi\) holds at all states that are at least as plausible as the current one. See van Benthem and Smets (2015) for an overview of plausibility semantics and its connections to conditional logic, belief revision theory, dynamic-epistemic logic, and a wide range of philosophical and technical issues.