Dunn’s relevant predication, real properties and identity

Erkenntnis 47 (1):37-65 (1997)
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Abstract

We critically investigate and refine Dunn's relevant predication, his formalisation of the notion of a real property. We argue that Dunn's original dialectical moves presuppose some interpretation of relevant identity, though none is given. We then re-motivate the proposal in a broader context, considering the prospects for a classical formalisation of real properties, particularly of Geach's implicit distinction between real and ''Cambridge'' properties. After arguing against these prospects, we turn to relevance logic, re-motivating relevant predication with Geach's distinction in mind. Finally we draw out some consequences of Dunn's proposal for the theory of identity in relevance logic.

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Philip Kremer
University of Toronto at Scarborough

Citations of this work

Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
Identity in Mares-Goldblatt Models for Quantified Relevant Logic.Shawn Standefer - 2021 - Journal of Philosophical Logic 50 (6):1389-1415.
Mere Cambridge Properties.Robert Francescotti - 1999 - American Philosophical Quarterly 36 (4):295-308.
Relevant Identity.Philip Kremer - 1999 - Journal of Philosophical Logic 28 (2):199-222.

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References found in this work

Introduction to Mathematical Logic.Alonzo Church - 1944 - Princeton: Princeton University Press.
Introduction to Mathematical Logic.Alonzo Church - 1944 - London: Oxford University PRess.
Quality and Concept.George Bealer - 1982 - Oxford, England: Oxford University Press.
A Useful Four-Valued Logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.

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