Abstract
According to the analysis of concessive conditionals suggested by Crupi and Iacona, a concessive conditional \(p{{\,\mathrm{\hookrightarrow }\,}}q\) is adequately formalized as a conjunction of conditionals. This paper presents a sound and complete axiomatic system for concessive conditionals so understood. The soundness and completeness proofs that will be provided rely on a method that has been employed by Raidl, Iacona, and Crupi to prove the soundness and completeness of an analogous system for evidential conditionals.
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18 March 2023
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Acknowledgements
Eric Raidl’s work was funded by the Deutsche Forschungsgemeinschaft (EXC number 2064/1, project number 390727645), and by the Baden-Württemberg Stiftung. We are grateful to the audience of the conferences Trends in Logic XXI (Bochum) where this paper was presented.
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Special Issue: Frontiers of Connexive Logic Edited by: Hitoshi Omori and Heinrich Wansing.
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Raidl, E., Iacona, A. & Crupi, V. An Axiomatic System for Concessive Conditionals. Stud Logica (2023). https://doi.org/10.1007/s11225-022-10034-1
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DOI: https://doi.org/10.1007/s11225-022-10034-1
Keywords
- Concessive conditional
- Conditional logic
- Connexive logic
- Suppositional conditional
- Variably strict conditional
- Evidential conditional
- Definable conditional
- Strengthened conditional
- Weak Boethius Thesis
- Even if