Luci Seminars - 2023 Series - a cura del LUCI (Logic, Uncertainty, Computation and Information) Group del Dipartimento di Filosofia "Piero Martinetti"

Aybüke Özgün (University of Amsterdam)

Uncertainty about Evidence

17 febbraio 2023: Piattaforma Zoom, ore 14:00-16:00 (Milan time).

In order to obtain the link for the webinar, please write to: logic.unimi@gmail.com

Abstract:

We develop a logical framework for reasoning about knowledge and evidence in which the agent may be uncertain about how to interpret their evidence. Rather than representing an evidential state as a fixed subset of the state space, our models allow the set of possible worlds that a piece of evidence corresponds to to vary from one possible world to another, and therefore itself be the subject of uncertainty. Such structures can be viewed as (epistemically motivated) generalizations of topological spaces. In this context, there arises a natural distinction between what is actually entailed by the evidence and what the agent knows is entailed by the evidence—with the latter, in general, being much weaker. We provide a sound and complete axiomatization of the corresponding bi-modal logic of knowledge and evidence entailment, and investigate some natural extensions of this core system, including the addition of a belief modality and its interaction with evidence interpretation and entailment, and the addition of a “knowability” modality interpreted via a (generalized) interior operator. 

La conferenza si terrà in inglese.

La partecipazione alla conferenza è fortemente consigliata agli allievi della Scuola di Dottorato in Filosofia e Scienze dell’Uomo e della Scuola di Dottorato di Mente, Cervello e Ragionamento.

La partecipazione è aperta a tutti gli interessati. 

ORGANIZERS
The LUCI (Logic, Uncertainty, Computation and Information) Group, Department of Philosophy, University of Milan - luci.unimi.it