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Aspects of the historical development of paraconsistent logic

In G. Priest, R. Routley & J. Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag. pp. 99--130 (1989)

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  1. Advice on Abductive Logic.Dov Gabbay & John Woods - 2006 - Logic Journal of the IGPL 14 (2):189-219.
    One of our purposes here is to expose something of the elementary logical structure of abductive reasoning, and to do so in a way that helps orient theorists to the various tasks that a logic of abduction should concern itself with. We are mindful of criticisms that have been levelled against the very idea of a logic of abduction; so we think it prudent to proceed with a certain diffidence. That our own account of abduction is itself abductive is methodological (...)
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  • Enciclopédia de Termos Lógico-Filosóficos.João Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.
    Esta enciclopédia abrange, de uma forma introdutória mas desejavelmente rigorosa, uma diversidade de conceitos, temas, problemas, argumentos e teorias localizados numa área relativamente recente de estudos, os quais tem sido habitual qualificar como «estudos lógico-filosóficos». De uma forma apropriadamente genérica, e apesar de o território teórico abrangido ser extenso e de contornos por vezes difusos, podemos dizer que na área se investiga um conjunto de questões fundamentais acerca da natureza da linguagem, da mente, da cognição e do raciocínio humanos, bem (...)
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  • Is There a Zande Logic?Newton C. A. Da Costa, Otávio Bueno & Steven French - 1998 - History and Philosophy of Logic 19 (1):41-54.
    The issue of what consequences to draw from the existence of non-classical logical systems has been the subject of an interesting debate across a diversity of fields. In this paper the matter of alternative logics is considered with reference to a specific belief system and its propositions :the Azande are said to maintain beliefs about witchcraft which, when expressed propositionally, appear to be inconsistent. When the Azande have been presented with such inconsistencies, they either fail to see them as such (...)
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  • A Generalisation of a Refutation-Related Method in Paraconsistent Logics.Adam Trybus - forthcoming - Logic and Logical Philosophy.
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  • Nicolas A. Vasil'év (1880–1940).Roberto Poli - 1993 - Axiomathes 4 (3):325-328.
  • Vagueness: Subvaluationism.Pablo Cobreros - 2013 - Philosophy Compass 8 (5):472-485.
    Supervaluationism is a well known theory of vagueness. Subvaluationism is a less well known theory of vagueness. But these theories cannot be taken apart, for they are in a relation of duality that can be made precise. This paper provides an introduction to the subvaluationist theory of vagueness in connection to its dual, supervaluationism. A survey on the supervaluationist theory can be found in the Compass paper of Keefe (2008); our presentation of the theory in this paper will be short (...)
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  • On Jaśkowski's Discussive Logics.Newton C. A. da Costa & Francisco A. Doria - 1995 - Studia Logica 54 (1):33 - 60.
    We expose the main ideas, concepts and results about Jaśkowski's discussive logic, and apply that logic to the concept of pragmatic truth and to the Dalla Chiara-di Francia view of the foundations of physics.
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  • Paraconsistent Logic.David Ripley - 2015 - Journal of Philosophical Logic 44 (6):771-780.
    In some logics, anything whatsoever follows from a contradiction; call these logics explosive. Paraconsistent logics are logics that are not explosive. Paraconsistent logics have a long and fruitful history, and no doubt a long and fruitful future. To give some sense of the situation, I’ll spend Section 1 exploring exactly what it takes for a logic to be paraconsistent. It will emerge that there is considerable open texture to the idea. In Section 2, I’ll give some examples of techniques for (...)
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  • Analytical Tableaux for da Costa's Hierarchy of Paraconsistent Logics Cn, 1≤N<Ω.Itala M. Loffredo D'Ottaviano & Milton Augustinis de Castro - 2005 - Journal of Applied Non-Classical Logics 15 (1):69-103.
    In this paper we present a new hierarchy of analytical tableaux systems TNDC n, 1≤n (...))
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  • Analytical Tableaux for da Costa's Hierarchy of Paraconsistent Logics Cn, 1≤ N< Ω.Itala M. Loffredo D'Ottaviano & Milton Augustinis De Castro - 2005 - Journal of Applied Non-Classical Logics 15 (1):69-103.
    In this paper we present a new hierarchy of analytical tableaux systems TNDC n, 1≤n<ω, for da Costa's hierarchy of propositional paraconsistent logics Cn, 1≤n<ω. In our tableaux formulation, we introduce da Costa's “ball” operator “o”, the generalized operators “k” and “”, for 1≤k, and the negations “~k”, for k≥1, as primitive operators, differently to what has been done in the literature, where these operators are usually defined operators. We prove a version of Cut Rule for the TNDC n, 1≤n<ω, (...)
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  • On Ja?Kowski's Discussive Logics.Newton C. A. Costa & Francisco A. Doria - 1995 - Studia Logica 54 (1):33-60.
    We expose the main ideas, concepts and results about Jaśkowski's discussive logic, and apply that logic to the concept of pragmatic truth and to the Dalla Chiara-di Francia view of the foundations of physics.
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