Inconsistent models of arithmetic. Part II: The general case

Journal of Symbolic Logic 65 (4):1519-1529 (2000)
The paper establishes the general structure of the inconsistent models of arithmetic of [7]. It is shown that such models are constituted by a sequence of nuclei. The nuclei fall into three segments: the first contains improper nuclei; the second contains proper nuclei with linear chromosomes; the third contains proper nuclei with cyclical chromosomes. The nuclei have periods which are inherited up the ordering. It is also shown that the improper nuclei can have the order type of any ordinal, of the rationals, or of any other order type that can be embedded in the rationals in a certain way
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DOI 10.2307/2695062
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References found in this work BETA
Is Arithmetic Consistent?Graham Priest - 1994 - Mind 103 (411):337-349.
Inconsistent Models of Arithmetic Part I: Finite Models. [REVIEW]Graham Priest - 1997 - Journal of Philosophical Logic 26 (2):223-235.

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Citations of this work BETA
Transfinite Cardinals in Paraconsistent Set Theory.Zach Weber - 2012 - Review of Symbolic Logic 5 (2):269-293.
A Note on Priest's Finite Inconsistent Arithmetics.J. B. Paris & N. Pathmanathan - 2006 - Journal of Philosophical Logic 35 (5):529-537.
Axioms for Finite Collapse Models of Arithmetic.Andrew Tedder - 2015 - Review of Symbolic Logic 8 (3):529-539.

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