David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Symbolic Logic 65 (4):1519-1529 (2000)
The paper establishes the general structure of the inconsistent models of arithmetic of . 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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Citations of this work BETA
Zach Weber (2012). Transfinite Cardinals in Paraconsistent Set Theory. Review of Symbolic Logic 5 (2):269-293.
Jean Paul van Bendegem (2014). Inconsistency in Mathematics and the Mathematics of Inconsistency. Synthese 191 (13):3063-3078.
J. B. Paris & N. Pathmanathan (2006). A Note on Priest's Finite Inconsistent Arithmetics. Journal of Philosophical Logic 35 (5):529 - 537.
Andrew Tedder (2015). Axioms for Finite Collapse Models of Arithmetic. Review of Symbolic Logic 8 (3):529-539.
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