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Profile: Walter Carnielli (University of Campinas)
Profile: Walter Carnielli
  1. Walter Carnielli & Rodrigues Abilio, On the Philosophical Motivations for the Logics of Formal Consistency and Inconsistency.
    We present a philosophical motivation for the logics of formal inconsistency (LFIs), a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency (and inconsistency as well) within the object language. We shall defend the view according to which logics of formal inconsistency are theories of logical consequence of normative and epistemic character. This approach not only allows us to make inferences in the presence of contradictions, but offers a philosophically acceptable account (...)
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  2. Walter Carnielli & Abilio Rodrigues, On Philosophical Motivations for Paraconsistency: An Ontology-Free Interpretation of the Logics of Formal Inconsistency.
    In this paper we present a philosophical motivation for the logics of formal inconsistency, a family of paraconsistent logics whose distinctive feature is that of having resources for expressing the notion of consistency within the object language in such a way that consistency may be logically independent of non- contradiction. We defend the view according to which logics of formal inconsistency may be interpreted as theories of logical consequence of an epistemological character. We also argue that in order to philosophically (...)
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  3. Walter Carnielli, Marcelo E. Coniglio, Rodrigo Podiacki & Tarcísio Rodrigues (forthcoming). On the Way to a Wider Model Theory: Completeness Theorems for First-Order Logics of Formal Inconsistency. Review of Symbolic Logic:1-31.
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  4. Walter Carnielli (2013). Ewa Orlowska and Joanna Golinska-Pilarek, Dual Tableaux: Foundations, Methodology, Case Studies, Springer, Series: Trends in Logic, Vol. 33, 2011, Pp. Xvi+523, 113 Illus. ISBN: 978-94-007-0004-8 (Hardcover) EURO 181,85, 978-94-007-0005-5 (eBook) EURO 159,99. [REVIEW] Studia Logica 101 (1):229-232.
  5. Walter Carnielli (2013). Ewa Orlowska and Joanna Golinska-Pilarek, Springer, Series: Trends in Logic, Vol. 33, 2011, Pp. Xvi+ 523, 113 Illus. ISBN: 978-94-007-0004-8 (Hardcover) EURO 181, 85, 978-94-007-0005-5 (eBook) EURO 159, 99. [REVIEW] Studia Logica 101 (1):229-232.
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  6. Walter Carnielli & Marcelo E. Coniglio (2013). On Discourses Addressed by Infidel Logicians. In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer 27--41.
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  7. Walter Carnielli & Claudio Pizzi (2013). Special Issue on Multimodal Logics: A Preface. [REVIEW] Logica Universalis 7 (1):1-5.
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  8. Walter Carnielli, Renata de Freitas & Petrucio Viana (2012). Xvi Brazilian Logic Conference (Ebl 2011). Bulletin of Symbolic Logic 18 (1):150-151.
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  9. Anderson De Araújo & Walter Carnielli (2012). Non-Standard Numbers: A Semantic Obstacle for Modelling Arithmetical Reasoning. Logic Journal of the Igpl 20 (2):477-485.
    The existence of non-standard numbers in first-order arithmetics is a semantic obstacle for modelling our arithmetical skills. This article argues that so far there is no adequate approach to overcome such a semantic obstacle, because we can also find out, and deal with, non-standard elements in Turing machines.
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  10. Lorenzo Magnani, Walter Carnielli & Claudio Pizzi (2012). Special Issue: Formal Representations in Model-Based Reasoning and Abduction. Logic Journal of the Igpl 20 (2):367-369.
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  11. Juan C. Agudelo & Walter Carnielli (2011). Polynomial Ring Calculus for Modal Logics: A New Semantics and Proof Method for Modalities. Review of Symbolic Logic 4 (1):150-170.
    A new (sound and complete) proof style adequate for modal logics is defined from the polynomial ring calculus (PRC). The new semantics not only expresses truth conditions of modal formulas by means of polynomials, but also permits to perform deductions through polynomial handling. This paper also investigates relationships among the PRC here defined, the algebraic semantics for modal logics, equational logics, the Dijkstra–Scholten equational-proof style, and rewriting systems. The method proposed is throughly exemplified for S5, and can be easily extended (...)
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  12. Walter Carnielli (2011). Book Reviews: Ernst Schröder, Parafrasi Schröderiane. Ovvero: Ernst Schröder, Leoperazioni Del Calcolo Logico. Logic and Logical Philosophy 20 (3):267-272.
    Ernst Schröder, Parafrasi Schröderiane. Ovvero: Ernst Schröder, Leoperazioni del Calcolo Logico. Original German text with Italian translation, commentary and annotations by Davide Bondoni, LED Edizioni, Milan, 2010, pp. 208, 15,5 × 22 cm, ISBN 978-88-7916-474-0.
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  13. Walter Carnielli (2011). The Single-Minded Pursuit of Consistency and its Weakness. Studia Logica 97 (1):81 - 100.
    I argue that a compulsive seeking for just one sense of consistency is hazardous to rationality, and that observing the subtle distinctions of reasonableness between individual and groups may suggest wider, structuralistic notions of consistency, even relevant to re-assessing Gödei's Second Incompleteness Theorem and to science as a whole.
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  14. Walter Carnielli (2010). On a Theoretical Analysis of Deceiving: How to Resist a Bullshit Attack. In W. Carnielli L. Magnani (ed.), Model-Based Reasoning in Science and Technology. 291--299.
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  15. Lorenzo Magnani, Walter Carnielli & Claudio Pizzi (eds.) (2010). MODEL-BASED REASONING IN SCIENCE AND TECHNOLOGY. Springer.
    This volume is based on the papers presented at the international conference Model-Based Reasoning in Science and Technology (MBR09_BRAZIL), held at the University of Campinas (UNICAMP), Campinas, Brazil, December 2009. The presentations given at the conference explored how scientific cognition, but several other kinds as well, use models, abduction, and explanatory reasoning to produce important or creative changes in theories and concepts. Some speakers addressed the problem of model-based reasoning in technology, and stressed the issue of science and technological innovation. (...)
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  16. Walter Carnielli (2009). Meeting Hintikka's Challenge to Paraconsistentism. Principia 13 (3):283-297.
    http://dx.doi.org/10.5007/1808-1711.2009v13n3p283 Em uma série de seminários e conferências no Brasil em 2008, Jaakko Hintikka, em uma série de palestras no Brasil em 2008, defendeu que a “IF-lógica” (“independence friendly logic”) e a lógica paraconsistente são, em certo sentido, bastante similares. A partir do esboço de um novo sistema paraconsistente, ele afirma que várias potencialidades da IF-lógica podem ser reproduzidas na lógica paraconsistente. Uma das grandes dificuldades, deixada como um desafio, seria a formulação de condições de verdade para esta nova linguagem (...)
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  17. Walter A. Carnielli, Marcelo E. Coniglio & Itala M. L. D'Ottaviano (2009). New Dimensions on Translations Between Logics. Logica Universalis 3 (1):1-18.
    After a brief promenade on the several notions of translations that appear in the literature, we concentrate on three paradigms of translations between logics: ( conservative ) translations , transfers and contextual translations . Though independent, such approaches are here compared and assessed against questions about the meaning of a translation and about comparative strength and extensibility of a logic with respect to another.
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  18. Igor Oliveira & Walter Carnielli (2009). Erratum to “The Ricean Objection: An Analogue of Rice's Theorem for First-Order Theories” Logic Journal of the IGPL, 16: 585–590. [REVIEW] Logic Journal of the Igpl 17 (6):803-804.
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  19. João Rasga, Walter Carnielli & Cristina Sernadas (2009). Interpolation Via Translations. Mathematical Logic Quarterly 55 (5):515-534.
    A new technique is presented for proving that a consequence system enjoys Craig interpolation or Maehara interpolation based on the fact that these properties hold in another consequence system. This technique is based on the existence of a back and forth translation satisfying some properties between the consequence systems. Some examples of translations satisfying those properties are described. Namely a translation between the global/local consequence systems induced by fragments of linear logic, a Kolmogorov-Gentzen-Gödel style translation, and a new translation between (...)
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  20. Walter Carnielli (2008). The Tyranny of Knowledge. Manuscrito 31 (1):511-518.
    In his “Logic, Language, and Knowledge” Chateaubriand denounces the tyranny of belief , but takes some positions on knowledge and justification which seem to be too exacting. The fact that Chateau-briand derives constraints on the notion of justification by a close parallel to the notion of proof makes it unnecessarily loaded with the individual, rather than with the collective perspective. His position seems to leave little room for common knowledge, collective knowledge and usual common-sense knowledge, and absolutely no room for (...)
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  21. Walter Carnielli & Marcelo Coniglio (2008). Aristóteles, paraconsistentismo e a tradição budista. O Que Nos Faz Pensar:163-175.
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  22. Walter Carnielli & Marcelo E. Coniglio, Combining Logics. Stanford Encyclopedia of Philosophy.
    Although a very recent topic in contemporary logic, the subject of combinations of logics has already shown its deep possibilities. Besides the pure philosophical interest offered by the possibility of defining mixed logic systems in which distinct operators obey logics of different nature, there are also several pragmatical and methodological reasons for considering combined logics. We survey methods for combining logics (integration of several logic systems into a homogeneous environment) as well as methods for decomposing logics, showing their interesting properties (...)
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  23. Walter Carnielli & Maria Cláudia C. Grácio (2008). Modulated Logics and Flexible Reasoning. Logic and Logical Philosophy 17 (3):211-249.
    This paper studies a family of monotonic extensions of first-order logic which we call modulated logics, constructed by extending classical logic through generalized quantifiers called modulated quantifiers. This approach offers a new regard to what we call flexible reasoning. A uniform treatment of modulated logics is given here, obtaining some general results in model theory. Besides reviewing the “Logic of Ultrafilters”, which formalizes inductive assertions of the kind “almost all”, two new monotonic logical systems are proposed here, the “Logic of (...)
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  24. Igor Oliveira & Walter Carnielli (2008). The Ricean Objection: An Analogue of Rice's Theorem for First-Order Theories. Logic Journal of the Igpl 16 (6):585-590.
    We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order theories and P is non-trivial over the set of finitely axiomatizable theories , then P is undecidable. This not only means that the problem of deciding properties of first-order theories is as hard as the problem of deciding properties about languages accepted by Turing machines, but also offers a general setting for proving (...)
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  25. Walter Carnielli (2007). Polynomizing: Logic Inference in Polynomial Format and the Legacy of Boole. In L. Magnani & P. Li (eds.), Model-Based Reasoning in Science, Technology, and Medicine. Springer 349--364.
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  26. Walter Carnielli (2006). Book Reviews: Anita Burdman Feferman and Solomon Feferman, "Alfred Tarski: Life and Logic", Cambridge University Press, Cambridge. Logic and Logical Philosophy 15 (1):91-96.
    Anita Burdman Feferman and Solomon Feferman, "Alfred Tarski: Life and Logic", Cambridge University Press, Cambridge, UK, 2004, pp. 432.
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  27. Walter Carnielli (2006). Surviving Abduction. Logic Journal of the Igpl 14 (2):237-256.
    Abduction or retroduction, as introduced by C.S. Peirce in the double sense of searching for explanatory instances and providing an explanation is a kind of complement for usual argumentation. There is, however, an inferential step from the explanandum to the abductive explanans . Whether this inferential step can be captured by logical machinery depends upon a number of assumptions, but in any case it suffers in principle from the triviality objection: any time a singular contradictory explanans occurs, the system collapses (...)
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  28. Tomás Barrero & Walter Carnielli (2005). Tableaux sin refutación. Matemáticas: Enseñanza Universitaria 13 (2):81-99.
    Motivated by H. Curry’s well-known objection and by a proposal of L. Henkin, this article introduces the positive tableaux, a form of tableau calculus without refutation based upon the idea of implicational triviality. The completeness of the method is proven, which establishes a new decision procedure for the (classical) positive propositional logic. We also introduce the concept of paratriviality in order to contribute to the question of paradoxes and limitations imposed by the behavior of classical implication.
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  29. Carlos Caleiro, Walter Carnielli, Marcelo Coniglio & João Marcos (2005). Two's Company: The Humbug of Many Logical Values. In J. Y. Beziau (ed.), Logica Universalis. Birkhäuser Verlag
    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 repeat, “there are but two logical values, true and false.” As a matter of fact, a result by W´ojcicki-Lindenbaum shows that any tarskian logic has a many-valued semantics, and results by Suszko-da Costa-Scott show that any many-valued semantics can be reduced to a two-valued one. So, why should one even consider using logics with more (...)
     
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  30. Walter Carnielli, Marcelo Coniglio & Itala D'ottaviano (2005). An Event on Brazilian Logic: Proceedings of the XIII Brazilian Logic Conference. Logic Journal of the Igpl 13 (1):1-3.
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  31. Walter Carnielli & Paulo Mateus (2005). Editorial. Logic Journal of the Igpl 13 (6):611-614.
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  32. Walter Carnielli (2004). Book Reviews: Claude P. Bruter (Editor), Mathematics in Art: Mathematical Visualization in Art and Education. Logic and Logical Philosophy 13:163-166.
    Claude P. Bruter (editor), Mathematics in Art: Mathematical Visualization inArt and Education, Springer Verlag, New York, 2002, pp. X + 337, ISBN 3-540-43422-4.
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  33. Walter A. Carnielli (2004). Book Review: Yves Nievergelt, Foundations of Logic and Mathematics: Applications to Computer Science and Cryptography, Birkäuser Verlag, Boston, 2002, €90, Pp. 480, ISBN 0-8176-4249-8, Hardcover. Dimensions (in Inches): 1.00 × 9.96 × 7.36. [REVIEW] Studia Logica 78 (3):479-481.
    Book review r A. (2004). "Book review: Yves nievergelt, foundations of ...
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  34. Walter A. Carnielli (2004). Book Review: Yves Nievergelt, Birkäuser Verlag, Boston, 2002,€ 90, Pp. 480, ISBN 0-8176-4249-8, Hardcover. Dimensions (in Inches): 1.00× 9.96× 7.36. [REVIEW] Studia Logica 78 (3):479-481.
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  35. Walter Carnielli, Marcelo Coniglio & Itala Loffredo D'ottaviano (2004). Editorial. Logic Journal of the Igpl 12 (6):431-437.
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  36. Walter Carnielli (ed.) (2002). Paraconsistency:The Logical Way to the Inconsistent. CRC Press.
    The Logical Way to the Inconsistent Walter Alexandr Carnielli, Marcelo Coniglio, Itala Maria Lof D'ottaviano. Beyond Truth(-Preservation) R.E. JENNINGS Laboratory for Logic and Experimental Philosophy, Simon Fraser University, Burnaby, ...
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  37. Walter A. Carnielli, Marcelo E. Coniglio & Itala M. L. D'ottaviano (2002). Paraconsistency the Logical Way to the Inconsistent : Proceedings of the World Congress Held in São Paulo.
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  38. Cristina Sernadas, João Rasga & Walter A. Carnielli (2002). Modulated Fibring and the Collapsing Problem. Journal of Symbolic Logic 67 (4):1541-1569.
    Fibring is recognized as one of the main mechanisms in combining logics, with great signicance in the theory and applications of mathematical logic. However, an open challenge to bring is posed by the collapsing problem: even when no symbols are shared, certain combinations of logics simply collapse to one of them, indicating that bring imposes unwanted interconnections between the given logics. Modulated bring allows a ner control of the combination, solving the collapsing problem both at the semantic and deductive levels. (...)
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  39. Walter Carnielli (2000). Resenha de 'Logiques classiques et non classiques. essai sur les fondements de la logique' (Newton C.A. da Costa). Manuscrito 23 (1):235-241.
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  40. Walter A. Carnielli, João Marcos & Sandra De Amo (2000). Formal Inconsistency and Evolutionary Databases. Logic and Logical Philosophy 8 (2):115-152.
    This paper introduces new logical systems which axiomatize a formal representation of inconsistency (here taken to be equivalent to contradictoriness) in classical logic. We start from an intuitive semantical account of inconsistent data, fixing some basic requirements, and provide two distinct sound and complete axiomatics for such semantics, LFI1 and LFI2, as well as their first-order extensions, LFI1* and LFI2*, depending on which additional requirements are considered. These formal systems are examples of what we dub Logics of Formal Inconsistency (LFI) (...)
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  41. Sahid Rahman & Walter A. Carnielli (2000). The Dialogical Approach to Paraconsistency. Synthese 125 (1-2):201-232.
    Being a pragmatic and not a referential approach tosemantics, the dialogical formulation ofparaconsistency allows the following semantic idea tobe expressed within a semi-formal system: In anargumentation it sometimes makes sense to distinguishbetween the contradiction of one of the argumentationpartners with himself (internal contradiction) and thecontradiction between the partners (externalcontradiction). The idea is that externalcontradiction may involve different semantic contextsin which, say A and ¬A have been asserted.The dialogical approach suggests a way of studying thedynamic process of contradictions through which thetwo (...)
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  42. Walter Carnielli (1999). Finite and Infinite-Valued Logics: Inference, Algebra and Geometry. Journal of Applied Non-Classical Logics 9 (1):7-8.
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  43. Walter A. Carnielli & Marcelo E. Coniglio (1999). A Categorial Approach to the Combination of Logics. Manuscrito 22 (2):69-94.
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  44. Walter A. Carnielli, Itala M. L. D'ottaviano & Brazilian Conference on Mathematical Logic (1999). Advances in Contemporary Logic and Computer Science Proceedings of the Eleventh Brazilian Conference on Mathematical Logic, May 6-10, 1996, Salvador, Bahia, Brazil. [REVIEW] Monograph Collection (Matt - Pseudo).
     
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  45. Walter A. Carnielli & João Marcos (1999). Limits for Paraconsistent Calculi. Notre Dame Journal of Formal Logic 40 (3):375-390.
    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 $ \mathcal {C}$n, 1 $ \leq$ n $ \leq$ $ \omega$, is carefully studied. The calculus $ \mathcal {C}$$\scriptstyle \omega$, in particular, constitutes no more than a lower deductive bound to this hierarchy and differs considerably from its companions. A long standing problem in the literature (open for more than 35 years) is (...)
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  46. Ruy J. G. B. de Queiroz & Walter Carnielli (1999). 6th Workshop on Logic, Language, Information and Computation (Wollic'99). Bulletin of Symbolic Logic 5 (3):424-425.
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  47. Walter A. Carnielli & Itala Ml D'Ottaviano (1997). Translations Between Logical Systems: A Manifesto. Logique Et Analyse 157:67-81.
     
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  48. Walter A. Carnielli & Luiz Carlos P. D. Pereira (eds.) (1995). Logic, Sets and Information: Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Centro de Lógica, Epistemologia E História da Ciência, Unicamp.
    Proceedings of the Tenth Brazilian Conference on Mathematical Logic. Coleção CLE, volume 14, 1995. Centro De Lógica, Epistemologia e História da Ciência, Unicamp, Campinas, SP, Brazil.
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  49. A. M. Sette & Walter A. Carnielli (1995). Maximal Weakly-Intuitionistic Logics. Studia Logica 55 (1):181 - 203.
    This article introduces the three-valuedweakly-intuitionistic logicI 1 as a counterpart of theparaconsistent calculusP 1 studied in [11].I 1 is shown to be complete with respect to certainthree-valued matrices. We also show that in the sense that any proper extension ofI 1 collapses to classical logic.The second part shows thatI 1 is algebraizable in the sense of Block and Pigozzi (cf. [2]) in a way very similar to the algebraization ofP 1 given in [8].
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  50. Walter Alexandre Carnielli & Carlos Augusto Di Prisco (1993). Some Results on Polarized Partion Relations of Higher Dimension. Mathematical Logic Quarterly 39 (1):461-474.
    Several types of polarized partition relations are considered. In particular we deal with partitions defined on cartesian products of more than two factors. MSC: 03E05.
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