Welcome Jürgen!

We are very pleased to announce that Jürgen Landes just joined us as an Assistant Professor. Jürgen holds a PhD in mathematical logic, from the University of Manchester (2009), and has been doing philosophy proper since 2012. His main interest is in uncertain inference. In particular, he works on Pure Inductive Logic, the Principle of […]

La matematica della filosofia (Pi Day 2021)

In occasione della giornata internazionale della matematica, conosciuta da tempo come come Pi Day, il Gruppo di Logica del Dipartimento di Filosofia “Piero Martinetti” dell’Università degli studi di Milano, in collaborazione con MaddMaths!, organizza un incontro rivolto alle studenti, agli studenti e al pubblico generale centrato sul contributo della matematica alla filosofia. Ospite dell’incontro sarà […]

Boolean algebras of conditionals, probability and logic

This paper presents an investigation on the structure of conditional events and on the probability measures which arise naturally in this context. In particular we introduce a construction which defines a (finite) Boolean algebra of conditionals from any (finite) Boolean algebra of events. By doing so we distinguish the properties of conditional events which depend […]

A Fully Rational Account of Structured Argumentation Under Resource Bounds

ASPIC+ is an established general framework for argumentation and non-monotonic reasoning. However ASPIC+ does not satisfy the non-contamination rationality postulates, and moreover, tacitly assumes unbounded resources when demonstrating satisfaction of the consistency postulates. In this paper we present a new version of ASPIC+ – Dialectical ASPIC+ – that is fully rational under resource bounds. M. […]

Depth-Bounded Approximations of Probability

We introduce measures of uncertainty that are based on Depth-Bounded Logics and resemble belief functions. We show that our measures can be seen as approximation of classical probability measures over classical logic, and that a variant of the PSAT problem for them is solvable in polynomial time. Baldi P., D’Agostino M., Hosni H. (2020) “Depth-Bounded Approximations of […]

Rasmus Rendsvig – Logics for Social Networks

11 June 2020 – 5pm on Teams In this talk, I will discuss logics for social networks, their epistemic extensions, and dynamics in such structure, including diffusion as modeled by threshold models. I will present a selection of recent models for social networks and their epistemics, with a focus on how these may be represented […]

Depth-bounded Belief Functions

This paper introduces and investigates Depth-bounded Belief functions, a logic-based representation of quantified uncertainty. Depth-bounded Belief functions are based on the framework of Depth-bounded Boolean logics, which provide a hierarchy of approximations to classical logic. Similarly, Depth-bounded Belief functions give rise to a hierarchy of increasingly tighter lower and upper bounds over classical measures of […]