A Note on Priest's Finite Inconsistent Arithmetics

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Journal of Philosophical Logic 35 (5):529-537 (2006)
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Abstract

We give a complete characterization of Priest's Finite Inconsistent Arithmetics observing that his original putative characterization included arithmetics which cannot in fact be realized

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10.1007/s10992-006-9031-1

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Jeffrey Paris
University of Manchester

Citations of this work

Wittgenstein on Incompleteness Makes Paraconsistent Sense.Francesco Berto - 2008 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 257--276.
Notes on the Model Theory of DeMorgan Logics.Thomas Macaulay Ferguson - 2012 - Notre Dame Journal of Formal Logic 53 (1):113-132.
On LP -models of arithmetic.J. B. Paris & A. Sirokofskich - 2008 - Journal of Symbolic Logic 73 (1):212-226.
Axioms for finite collapse models of arithmetic.Andrew Tedder - 2015 - Review of Symbolic Logic 8 (3):529-539.

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References found in this work

In contradiction: a study of the transconsistent.Graham Priest - 1987 - New York: Oxford University Press.
Minimally inconsistent LP.Graham Priest - 1991 - Studia Logica 50 (2):321 - 331.
Inconsistent models of artihmetic Part II : The general case.Graham Priest - 2000 - Journal of Symbolic Logic 65 (4):1519-1529.
On a Paradox of Hilbert and Bernays.Priest Graham - 1997 - Journal of Philosophical Logic 26 (1):45-56.
Inconsistent models of arithmetic part I: Finite models. [REVIEW]Graham Priest - 1997 - Journal of Philosophical Logic 26 (2):223-235.

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