[图书][B] Paraconsistent logic: Consistency, contradiction and negation

WA Carnielli, ME Coniglio - 2016 - Springer
I protest against the use of infinite magnitude as something completed, which in
mathematics is never permissible. Infinity is merely a façon de parler, the real meaning …

On ignorance and contradiction considered as truth-values

D Dubois - Logic Journal of IGPL, 2008 - academic.oup.com
A critical view of the alleged significance of Belnap four-valued logic for reasoning under
inconsistent and incomplete information is provided. The difficulty lies in the confusion …

Advanced many-valued logics

R Hähnle - Handbook of philosophical logic, 2001 - Springer
Let me begin with a brief discussion of the name of this chapter: the adjective “advanced” in
the title can only be understood in the temporal sense; the bulk of Urquhart's chapter in this …

Two's company:“The humbug of many logical values”

C Caleiro, W Carnielli, M Coniglio, J Marcos - Logica universalis: Towards …, 2005 - Springer
Abstract The Polish logician Roman Suszko has extensively pleaded in the 1970s for a
restatement of the notion of many-valuedness. According to him, as he would often …

[HTML][HTML] Paraconsistent logic from a modal viewpoint

JY Béziau - Journal of Applied Logic, 2005 - Elsevier
In this paper we study paraconsistent negation as a modal operator, considering the fact that
the classical negation of necessity has a paraconsistent behavior. We examine this operator …

Non-deterministic matrices and modular semantics of rules

A Avron - Logica universalis: towards a general theory of logic, 2005 - Springer
We show by way of example how one can provide in a lot of cases simple modular
semantics of rules of inference, so that the semantics of a system is obtained by joining the …

Cut-free ordinary sequent calculi for logics having generalized finite-valued semantics

A Avron, J Ben-Naim, B Konikowska - Logica Universalis, 2007 - Springer
The paper presents a method for transforming a given sound and complete n-sequent proof
system into an equivalent sound and complete system of ordinary sequents. The method is …

The dialogical approach to paraconsistency

S Rahman, WA Carnielli - Synthese, 2000 - Springer
Being a pragmatic and not a referential approach tosemantics, the dialogical formulation
ofparaconsistency allows the following semantic idea tobe expressed within a semi-formal …

Weakly complete axiomatization of exogenous quantum propositional logic

P Mateus, A Sernadas - Information and Computation, 2006 - Elsevier
A finitary axiomatization for EQPL (exogenous quantum propositional logic) is presented.
The axiomatization is shown to be weakly complete relative to an oracle for analytical …

Limits for paraconsistent calculi

WA Carnielli, J Marcos - Notre Dame Journal of Formal Logic, 1999 - projecteuclid.org
This paper discusses how to define logics as deductive limits of sequences of other logics.
The case of da Costa's hierarchy of increasingly weaker paraconsistent calculi, known as …