– We offer a new motivation for imprecise probabilities. We argue that there are propositions to which precise probability cannot be assigned, but to which imprecise probability can be assigned. In such cases the alternative to imprecise probability is not precise probability, but no probability at all. And an imprecise probability is substantially better than no probability at all. Our argument is based on the mathematical phenomenon of non-measurable sets. Non-measurable propositions cannot receive precise probabilities, but there is a natural (...) way for them to receive imprecise probabilities. The mathematics of non-measurable sets is arcane, but its epistemological import is far-reaching; even apparently mundane propositions are liable to be affected by non-measurability. The phenomenon of non-measurability dramatically reshapes the dialectic between critics and proponents of imprecise credence. Non-measurability offers natural rejoinders to prominent critics of imprecise credence. Non-measurability even reverses some of the critics’ arguments—by the very lights that have been used to argue against imprecise credences, imprecise credences are better than precise credences. (shrink)

We investigate an axiomatization of the notion of common belief that makes use of no rules of inference and highlight the property of the set of accessibility relations that characterizes each axiom.

Abstract. This paper is concerned with the mental processes involved in intentional communication. I describe an agent's cognitive architecture as the set of cognitive dynamics (i.e., sequences of mental states with contents) she may entertain. I then describe intentional communication as one such specific dynamics, arguing against the prevailing view that communication consists in playing a role in a socially shared script. The cognitive capabilities needed for such dynamics are midreading (i.e., the ability to reason upon another individual's mental states), (...) and communicative planning (i.e., the ability to dynamically represent and act in a communicative situation). (shrink)

From a cognitive perspective, intentional communication may be viewed as an agent's activity overtly aimed at modifying a partner's mental states. According to standard Gricean definitions, this requires each party to be able to ascribe mental states to the other, i.e., to entertain a so-called theory of mind. According to the relevant experimental literature, however, such capability does not appear before the third or fourth birthday; it would follow that children under that age should not be viewed as communicating agents. (...) In order to solve the resulting dilemma, we propose that certain specific components of an agent's cognitive architecture (namely, a peculiar version of sharedness and communicative intention), are necessary and sufficient to explain infant communication in a mentalist framework. We also argue that these components are innate in the human species. (shrink)

This research is concerned with the innate predispositions underlying human intentional communication. Human communication is currently defined as a circular and overt attempt to modify a partner's mental states. This requires each party involved to posse ss the ability to represent and understand the other's mental states, a capability which is commonly referred to as mindreading, or theory of mind (ToM). The relevant experimental literature agrees that no such capability is to be found in the human speci es at least (...) during the first year of life, and possibly later. This paper aims at advancing a solution to this theoretical problem. We propose to consider sharedness as the basis for intentional communication in the infant and to view it as a primitive, i nnate component of her cognitive architecture. Communication can then build upon the mental grounds that the infant takes as shared with her caregivers. We view this capability as a theory of mind in a weak sense.›. (shrink)