Hopeful Monsters: A Note on Multiple Conclusions

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

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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Author's Profile

Bogdan Dicher
Universidade de Lisboa

References found in this work

The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Stockholm, Sweden: Dover Publications.
The Runabout Inference-Ticket.A. N. Prior - 1960 - Analysis 21 (2):38.
Multiple Conclusion Logic.D. J. Shoesmith & Timothy Smiley - 1978 - Cambridge, England / New York London Melbourne: Cambridge University Press.

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Citations of this work

Meta-Inferences and Supervaluationism.Luca Incurvati & Julian J. Schlöder - forthcoming - Journal of Philosophical Logic:1-34.
Is There a Neutral Metalanguage?Rea Golan - 2019 - Synthese 198 (Suppl 20):4831-4858.

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