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May 20, 2021: Wesley Holliday: Logics of Imprecise, Comparative, and Regular Probability

Seminars of Logic Logo

Logic Lunch Aperitivo Seminar Series on line a cura del Logic Group del Dipartimento di Filosofia "Piero Martinetti"

Wesley Holliday (University of California, Berkeley)

Logics of Imprecise, Comparative, and Regular Probability

May 20, 2021, h. 18:00.

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


In this talk, based on joint work with Yifeng Ding and Thomas Icard (at https://escholarship.org/uc/item/1m3156ps), I will discuss a logical perspective on connections between two alternatives to the standard probability calculus for representing and reasoning about uncertainty: imprecise probability and comparative probability. The goal is to identify complete logics for reasoning about uncertainty in a comparative probabilistic language whose semantics is given in terms of imprecise probability. Comparative probability operators are interpreted as quantifying over a set of probability measures. Modal and dynamic operators are added for reasoning about epistemic possibility and updating sets of probability measures. I will also discuss our work in progress on the relation between imprecise probability and the principle of regularity, according to which an agent should assign non-zero probability to any possibly true proposition.

Everyone interested is welcome to attend.

Participation is strongly recommended to students of the Doctoral School in Philosophy and Human Sciences and of the Doctoral School in Brain, Mind, and Reasoning.

The Logic Group, Department of Philosophy, University of Milan

20 May 2021
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