Kürbis, Nils;
(2022)
Bilateral Inversion Principles.
In: Indrzejczak, Andrzej and Zawidzki, Michal, (eds.)
Proceedings of the 10th International Conference on Non-Classical Logics.
(pp. pp. 202-215).
NCL: Łódź, Poland.
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Abstract
This paper formulates a bilateral account of harmony that is an alternative to one proposed by Francez. It builds on an account of harmony for unilateral logic proposed by K ¨urbis and the observation that reading the rules for the connectives of bilateral logic bottom up gives the grounds and consequences of formulas with the opposite speech act. I formulate a process I call ‘inversion’ which allows the determination of assertive elimination rules from assertive introduction rules, and rejective elimination rules from rejective introduction rules, and conversely. It corresponds to Francez’s notion of vertical harmony. I also formulate a process I call ‘conversion’, which allows the determination of rejective introduction rules from assertive elimination rules and conversely, and the determination of assertive introduction rules from rejective elimination rules and conversely. It corresponds to Francez’s notion of horizontal harmony. The account has a number of features that distinguishes it from Francez’s.
| Type: | Proceedings paper |
|---|---|
| Title: | Bilateral Inversion Principles |
| Event: | 10th International Conference on Non-Classical Logics (EPTCS) |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4204/EPTCS.358.15 |
| Publisher version: | https://doi.org/10.4204/EPTCS.358.15 |
| Language: | English |
| Additional information: | The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated. |
| 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/10195683 |
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