What Topic for off-topic in WK3?

In Pavel Materna & Bjørn Jespersen (eds.), Logically Speaking. A Festschrift for Marie Duží. College Publications. pp. 113-128 (2022)
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Abstract

Beall (2016) proposes to read the middle-value of Weak Kleene logic as off-topic. This interpretation has recently drawn some attention: for instance, Francez has pointed out that Beall's interpretation does not meet some important requirements to count as a truth value. Moreover, Beall is silent about what a topic (or a subject matter) is. But arguably, what is a topic? is a crucial question, and an answer is really important to fully understand his proposal. Thus, our goal here is to help to remedy this deficiency, and show how Beall's interpretation of Weak Kleene truth-values interacts with the notion of topic. To do that, we formalize his motivating ideas and draw some consequences from them.

Author Profiles

Massimiliano Carrara
University of Padua
Filippo Mancini
University of Padua

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