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Knot and Tonk: Nasty Connectives on Many-Valued Truth-Tables for Classical Sentential Logic

Button, T; (2016) Knot and Tonk: Nasty Connectives on Many-Valued Truth-Tables for Classical Sentential Logic. Analysis , 76 (1) pp. 7-19. 10.1093/analys/anv106. Green open access

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Abstract

Prior’s Tonk is a famously horrible connective. It is defined by its inference rules. My aim in this article is to compare Tonk with some hitherto unnoticed nasty connectives, which are defined in semantic terms. I first use many-valued truth-tables for classical sentential logic to define a nasty connective, Knot. I then argue that we should refuse to add Knot to our language. And I show that this reverses the standard dialectic surrounding Tonk, and yields a novel solution to the problem of many-valued truth-tables for classical sentential logic. I close by outlining the technicalities surrounding nasty connectives on many-valued truth-tables.

Type: Article
Title: Knot and Tonk: Nasty Connectives on Many-Valued Truth-Tables for Classical Sentential Logic
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/analys/anv106
Publisher version: https://doi.org/10.1093/analys/anv106
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy
URI: https://discovery.ucl.ac.uk/id/eprint/10085879
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