Hopeful Monsters: A Note on Multiple Conclusions

Erkenntnis 85 (1):77-98 (2020)
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Abstract

Arguments, the story goes, have one or more premises and only one conclusion. A contentious generalisation allows arguments with several disjunctively connected conclusions. Contentious as this generalisation may be, I will argue nevertheless that it is justified. My main claim is that multiple conclusions are epiphenomena of the logical connectives: some connectives determine, in a certain sense, multiple-conclusion derivations. Therefore, such derivations are completely natural and can safely be used in proof-theoretic semantics.

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Bogdan Dicher
University of Witwatersrand

Citations of this work

Meta-inferences and Supervaluationism.Luca Incurvati & Julian J. Schlöder - 2021 - Journal of Philosophical Logic 51 (6):1549-1582.
Substructural heresies.Bogdan Dicher - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
Is there a neutral metalanguage?Rea Golan - 2019 - Synthese 198 (Suppl 20):4831-4858.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.
Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
The Connectives.Lloyd Humberstone - 2011 - MIT Press. Edited by Lloyd Humberstone.
The Runabout Inference-Ticket.A. N. Prior - 1960 - Analysis 21 (2):38-39.
Multiple Conclusion Logic.D. J. Shoesmith & Timothy Smiley - 1978 - Cambridge, England / New York London Melbourne: Cambridge University Press. Edited by T. J. Smiley.

View all 36 references / Add more references