A Proof-theoretic View of Necessity

Synthese 148 (3):659-673 (2006)
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Abstract

We give a reading of binary necessity statements of the form “ϕ is necessary for ψ” in terms of proofs. This reading is based on the idea of interpreting such statements as “Every proof of ψ uses ϕ”.

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Reinhard Kahle
University Tübingen

Citations of this work

Direct Proofs of Lindenbaum Conditionals.René Gazzari - 2014 - Logica Universalis 8 (3-4):321-343.

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References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
Uber Sinn und Bedeutung.Gottlob Frege - 1892 - Zeitschrift für Philosophie Und Philosophische Kritik 100 (1):25-50.
An Introduction to Modal Logic.George Edward Hughes & M. J. Cresswell - 1968 - London, England: Methuen. Edited by M. J. Cresswell.
Symbolic logic.Clarence Irving Lewis - 1959 - [New York]: Dover Publications. Edited by Cooper Harold Langford.

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