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Published in:
2015 | OriginalPaper | Chapter
Ordinals in an Algebra-Valued Model of a Paraconsistent Set Theory
Author : Sourav Tarafder
Published in: Logic and Its Applications
Publisher: Springer Berlin Heidelberg
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This paper deals with ordinal numbers in an algebra-valued model of a paraconsistent set theory. It is proved that the collection of all ordinals is not a set in this model which is dissimilar to the other existing paraconsistent set theories. For each ordinal
α
of classical set theory
α
-like elements are defined in the mentioned algebra-valued model whose collection is not singleton. It is shown that two
α
-like elements (for same
α
) may perform conversely to validate a given formula of the corresponding paraconsistent set theory.