Of what one cannot speak, must one pass over in silence?

Titelangaben

Roy, Olivier ; Pacuit, Eric:
Of what one cannot speak, must one pass over in silence?
s.l. , 2010

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Abstract

Putting together a number of known results from epistemic game theory and modal logic, we argue for a language-based perspective on the question of the existence of a universal knowledge structure.
We first survey known results on universal structures, and explain why the question is important for the foundations of game theory and interactive epistemology. We then observe that the notion universality that is used in the current literature is based on a very fine-grained, model-based description of the agents’ information. In a more coarse-grained, language-based perspective, universal structures do exist, and most of the structures used to show non-existence turns out to be informationally equivalent. We finish with some general remarks on the source of language-dependency, and observe that similar phenomena also occur for Harsanyi type spaces.