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. 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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