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  1. An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems.Merrie Bergmann - 2008 - New York: Cambridge University Press.
    Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical (...)
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  • An infinity of super-Belnap logics.Umberto Rivieccio - 2012 - Journal of Applied Non-Classical Logics 22 (4):319-335.
    We look at extensions (i.e., stronger logics in the same language) of the Belnap–Dunn four-valued logic. We prove the existence of a countable chain of logics that extend the Belnap–Dunn and do not coincide with any of the known extensions (Kleene’s logics, Priest’s logic of paradox). We characterise the reduced algebraic models of these new logics and prove a completeness result for the first and last element of the chain stating that both logics are determined by a single finite logical (...)
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  • Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219-241.
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  • Don't care was made to care.Ross Brady & Richard Routley - 1973 - Australasian Journal of Philosophy 51 (3):211 – 225.
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  • Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.
    A selective background -- Broadly classical approaches -- Paracompleteness -- More on paracomplete solutions -- Paraconsistent dialetheism.
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  • The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
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  • Nonsense logics and their algebraic properties.Victor K. Finn & Revaz Grigolia - 1993 - Theoria 59 (1-3):207-273.
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  • Choice of primitives: A note on axiomatizing intuitionistic logic.I. L. Humberstone - 1998 - History and Philosophy of Logic 19 (1):31-40.
    A purported axiomatization, by P. Gärdenfors, of intuitionistic propositional logic is shown to be incomplete, and that the mistaken claim to completeness is seen to result from carelessness in the choice of primitive logical vocabulary. This leads to a consideration of various ways of conceiving the distinction between primitive and defined vocabularies, along with the bearing of these differences on such matters as are discussed in connection with Gärdenfors.
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