Abstract
In Barrio et al. (Forthcoming) Barrio Pailos and Szmuc prove that there are systems of logic that agree with classical logic up to any finite meta-inferential level, and disagree with it thereafter. This article presents a generalized sense of meta-inference that extends into the transfinite, and proves analogous results to all transfinite orders.
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References
Barrio, E., Pailos, F., Szmuc, D. (Forthcoming). A hierarchy of classical and paraconsistent logics. Journal of Philosophical Logic.
Scambler, C. (Forthcoming). Classical logic and the strict tolerant hierarchy. Journal of Philosophical Logic.
Acknowledgements
I very grateful to Eduardo Barrio, Federico Pailos, and Damian Szmuc for helpful comments.
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Scambler, C. Transfinite Meta-inferences. J Philos Logic 49, 1079–1089 (2020). https://doi.org/10.1007/s10992-020-09548-7
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DOI: https://doi.org/10.1007/s10992-020-09548-7