Journal of Philosophical Logic 28 (2):199-222 (1999)

Philip Kremer
University of Toronto at Scarborough
We begin to fill a lacuna in the relevance logic enterprise by providing a foundational analysis of identity in relevance logic. We consider rival interpretations of identity in this context, settling on the relevant indiscernibility interpretation, an interpretation related to Dunn's relevant predication project. We propose a general test for the stability of an axiomatisation of identity, relative to this interpretation, and we put various axiomatisations to this test. We fill our discussion out with both formal and philosophical remarks on identity in relevance logic
Keywords Philosophy
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Reprint years 2004
DOI 10.1023/A:1004323917968
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References found in this work BETA

Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
God and the Soul.P. T. Geach - 1969 - London: Routledge and Kegan Paul.
Three Grades of Modal Involvment.W. V. O. Quine - 1953 - Proceedings of the XIth International Congress of Philosophy 14:65-81.

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Citations of this work BETA

Substitution in Relevant Logics.Tore Fjetland Øgaard - 2019 - Review of Symbolic Logic (3):1-26.
Identity in Mares-Goldblatt Models for Quantified Relevant Logic.Shawn Standefer - 2021 - Journal of Philosophical Logic 50 (6):1389-1415.
Propositional Identity and Logical Necessity.David B. Martens - 2004 - Australasian Journal of Logic 2:1-11.

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