Notre Dame Journal of Formal Logic 53 (1):113-132 (2012)

Thomas Ferguson
City University of New York
We here make preliminary investigations into the model theory of DeMorgan logics. We demonstrate that Łoś's Theorem holds with respect to these logics and make some remarks about standard model-theoretic properties in such contexts. More concretely, as a case study we examine the fate of Cantor's Theorem that the classical theory of dense linear orderings without endpoints is $\aleph_{0}$-categorical, and we show that the taking of ultraproducts commutes with respect to previously established methods of constructing nonclassical structures, namely, Priest's Collapsing Lemma and Dunn's Theorem in 3-Valued Logic
Keywords many-valued logic   model theory   ultraproducts
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DOI 10.1215/00294527-1626554
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References found in this work BETA

Saving Truth From Paradox.Hartry Field - 2008 - Oxford, England: Oxford University Press.
Minimally Inconsistent LP.Graham Priest - 1991 - Studia Logica 50 (2):321 - 331.
Inconsistent Models of Arithmetic Part I: Finite Models. [REVIEW]Graham Priest - 1997 - Journal of Philosophical Logic 26 (2):223-235.
Inconsistent Models of Artihmetic Part II : The General Case.Graham Priest - 2000 - Journal of Symbolic Logic 65 (4):1519-1529.

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Citations of this work BETA

Dunn–Priest Quotients of Many-Valued Structures.Thomas Macaulay Ferguson - 2017 - Notre Dame Journal of Formal Logic 58 (2):221-239.
Infinitary Propositional Relevant Languages with Absurdity.Guillermo Badia - 2017 - Review of Symbolic Logic 10 (4):663-681.

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