Inconsistent Models of Arithmetic. Part II: The General Case. Priest, G. The Journal of Symbolic Logic, 65(4):1519--1529, Association for Symbolic Logic, 2000.
Inconsistent Models of Arithmetic. Part II: The General Case [link]Web  abstract   bibtex   
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.
@article{ Priest2000a,
  author = {Priest, Graham},
  title = {Inconsistent Models of Arithmetic. Part II: The General Case},
  journal = {The Journal of Symbolic Logic},
  year = {2000},
  volume = {65},
  pages = {1519--1529},
  number = {4},
  abstract = {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.},
  bibsource = {DBLP, http://dblp.uni-trier.de},
  copyright = {Copyright 2000 Association for Symbolic Logic},
  issn = {00224812},
  jstor_articletype = {research-article},
  jstor_formatteddate = {Dec., 2000},
  language = {English},
  publisher = {Association for Symbolic Logic},
  urlweb = {http://www.jstor.org/stable/2695062}
}
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