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  1. Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
    Stephen Cole Kleene was one of the greatest logicians of the twentieth century and this book is the influential textbook he wrote to teach the subject to the next generation. It was first published in 1952, some twenty years after the publication of Godel's paper on the incompleteness of arithmetic, which marked, if not the beginning of modern logic. The 1930s was a time of creativity and ferment in the subject, when the notion of computable moved from the realm of (...)
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  • In contradiction: a study of the transconsistent.Graham Priest - 1987 - New York: Oxford University Press.
    In Contradiction advocates and defends the view that there are true contradictions, a view that flies in the face of orthodoxy in Western philosophy since Aristotle. The book has been at the center of the controversies surrounding dialetheism ever since its first publication in 1987. This second edition of the book substantially expands upon the original in various ways, and also contains the author’s reflections on developments over the last two decades. Further aspects of dialetheism are discussed in the companion (...)
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  • Is arithmetic consistent?Graham Priest - 1994 - Mind 103 (411):337-349.
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  • The Trivial Object and the Non-Uiviality of a Semantically Closed Theory with Descriptions.Graham Priest - 1998 - Journal of Applied Non-Classical Logics 8 (1-2):171-183.
    After indicating why this is needed, the paper proves a non-triviality result for paraconsistent theory containing arithmetic, naive truth and denotation predicates, and descriptions. The result is obtained by dualising a construction of Kroon. Its most notable feature is that there is a trivial object- one that has every property.
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  • Grundlagen der Mathematik. Band I. [REVIEW]Rudolf Carnap - 1939 - Journal of Unified Science (Erkenntnis) 8 (1):184-187.
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  • Sense without Denotation.Timothy Smiley - 1959 - Analysis 20 (6):125 - 135.
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  • Indefinite descriptions.Graham Priest - 1979 - Logique Et Analyse 22 (85):5.
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