Nordic Online Logic Seminar: next talk, on 30 January, by Vann McGee

[Graham Leigh]

The Nordic Online Logic Seminar (NOL Seminar) is organised monthly over Zoom, with expository talks on topics of interest for the broader logic community. The seminar is open for professional or aspiring logicians and logic aficionados worldwide.

See the announcement for the next talk below. If you wish to receive the Zoom ID and password for it, as well as further announcements, please subscribe here: https://listserv.gu.se/sympa/subscribe/nordiclogic .

Val Goranko and Graham Leigh
NOL seminar organisers

Nordic Online Logic Seminar
Date  Monday, 30 January 2023 at 16:00 (CET), over Zoom
Speaker  Vann McGee (MIT)
Title  Boolean Degrees of Truth and Classical Rules of Inference
Abstract
Compositional semantics that acknowledge vagueness by positing degrees of truth intermediate between truth and falsity can retain classical sentential calculus, provided the degrees form a Boolean algebra. A valid deduction guarantees that the degree of truth of the conclusion be at least as great as every lower bound on the degrees of the premises. If we extend the language to allow infinite disjunctions and conjunctions, the Boolean algebra will need to be complete and atomic. If we extend further by adding quantifiers ranging over a fixed domain, we get the supervaluations proposed by Bas van Fraassen.

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