Variations on a Theme of Curry

Notre Dame Journal of Formal Logic 47 (1):101-131 (2006)
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Abstract

After an introduction to set the stage, we consider some variations on the reasoning behind Curry's Paradox arising against the background of classical propositional logic and of BCI logic and one of its extensions, in the latter case treating the "paradoxicality" as a matter of nonconservative extension rather than outright inconsistency. A question about the relation of this extension and a differently described (though possibly identical) logic intermediate between BCI and BCK is raised in a final section, which closes with a handful of questions left unanswered by our discussion

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Lloyd Humberstone
Monash University

Citations of this work

Logical Consequence and the Paradoxes.Edwin Mares & Francesco Paoli - 2014 - Journal of Philosophical Logic 43 (2-3):439-469.
A Note on Monothetic BCI.Tomasz Kowalski & Sam Butchart - 2006 - Notre Dame Journal of Formal Logic 47 (4):541-544.
Self-implications in BCI.Tomasz Kowalski - 2008 - Notre Dame Journal of Formal Logic 49 (3):295-305.
An Abelian Rule for BCI—and Variations.Tomasz Kowalski & Lloyd Humberstone - 2016 - Notre Dame Journal of Formal Logic 57 (4):551-568.

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References found in this work

How to be R eally Contraction-Free.Greg Restall - 1993 - Studia Logica 52 (3):381 - 391.
A general logic.John Slaney - 1990 - Australasian Journal of Philosophy 68 (1):74 – 88.
Contra-classical logics.Lloyd Humberstone - 2000 - Australasian Journal of Philosophy 78 (4):438 – 474.
Relative necessity.Timothy Smiley - 1963 - Journal of Symbolic Logic 28 (2):113-134.

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