In this paper, we consider a well-known epistemic game theoretical paradox, called the Brandenburger-Keisler Paradox, and provide various alternative models in which the paradoxical statement becomes satisfiable. For this task, first, we resort to various non-classical logical frameworks, and reformulate the paradoxical statement in them. We discuss the paradox in non-well-founded set theory an...

Traditional epistemic logic can be seen as a particular branch of modal logic. Its semantics is defined in terms of Kripke models, and philosophical principles about knowledge (e.g. factivity: Kφ→ φ) are shown to correspond to properties of the epistemic accessibility relation (e.g. reflexivity). By adding another (doxastic) accessibility relation, also belief can be treated in this framework. ...

The case of John Snow has long been important to epidemiologists and public health officials. However, despite the fact that there have been many discussions about the various aspects of Snow's case, there has been virtually no discussion about what guided Snow's reasoning in his coming to believe his various conclusions about cholera. Here, I want to take up this question in some detail and sh...

There is a persistent confusion about determinism and predictability. In spite of the opinions of some eminent philosophers (e.g., Popper), it is possible to understand that the two concepts are completely unrelated. In few words we can say that determinism is ontic and has to do with how Nature behaves, while predictability is epistemic and is related to what the human beings are able to compu...

Paradoxes of game-theoretic reasoning have played an important role in spurring developments in interactive epistemology, the area in game theory that studies the role of the players’ beliefs, knowledge, etc. This paper describes two such paradoxes—one concerning backwardinduction, the other iterated weak dominance. We start with the basic epistemic condition of “rationality and common belief o...

Epistemic logic has become a major field of philosophical logic ever since the groundbreaking work by Hintikka (1962). Despite its various successful applications in theoretical computer science, AI, and game theory, the technical development of the field has been mainly focusing on the propositional part, i.e., the propositional modal logics of “knowing that”. However, knowledge is expressed i...