Knowledge and its game-theoretical foundations
the challenges of the dialogical approach to constructive type theory
pp. 63-122
in: Juan Redmond, Olga Pombo Martins, Angel Fernández (eds), Epistemology, knowledge and the impact of interaction, Berlin, Springer, 2016Abstract
It is our main claim that the time is ripe to link the dynamic turn launched by game-theoretical approaches to meaning with P. Martin-Löf's Constructive Type Theory (CTT). Furthermore, we also claim that the dialogical framework provides the appropriate means to develop such a link. We will restrict our study to the discussion of two paradigmatic cases of dependences triggered by quantifiers, namely the case of the Axiom of Choice and the study of anaphora, that are by the way two of the most cherished examples of Hintikka.