University of Connecticut

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Logic Colloquium: Hitoshi Omori (Bochum)

Friday, September 23, 2022
11:15am – 12:45pm

Storrs Campus
online

Join us for a talk by Hitoshi Omori!

"Three questions on Jaskowski's discussive logic"

Abstract: Stanislaw Jaskowski is known to be one of the modern founders of paraconsistent logic, together with Newton C. A. da Costa. The most important contribution of Jaskowski is that he clearly distinguished two notions for a theory, namely a theory being contradictory (or inconsistent) and a theory being trivial (or overfilled). In addition to this distinction, he also presented a system of paraconsistent logic known as D2 which is often referred to as discursive logic or discussive logic. Very briefly put, D2 was introduced via modal logic S5, building on a certain idea related to discussion, and seen as a typical non-adjunctive system of paraconsistent logic.

The aim of this talk is to address the following three questions:

(i) Are there other modal logics than S5 that will be sufficient to define D2? (ii) Are there other ways to capture Jaskowski's idea than the well-known translation? (iii) Is there more to discussive logic than being non-adjunctive?

These questions are, of course, not entirely new. In particular, the first question has led to a number of interesting and non-trivial results. However, there seem to be other answers than those already discussed in the literature, and I will present some new answers to the above questions.

(The results related to the first and the second questions build on joint work with Fabio De Martin Polo and Igor Sedlar, respectively.)

All welcome!

https://logic.uconn.edu/calendar/

Contact:

logic@uconn.edu

UConn Logic Group Colloquium (primary), College of Liberal Arts and Sciences, Philosophy Department, UConn Master Calendar

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