111 found
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  1. Quasi-Truth, Paraconsistency, and the Foundations of Science.Otávio Bueno & Newton C. A. da Costa - 2007 - Synthese 154 (3):383-399.
    In order to develop an account of scientific rationality, two problems need to be addressed: (i) how to make sense of episodes of theory change in science where the lack of a cumulative development is found, and (ii) how to accommodate cases of scientific change where lack of consistency is involved. In this paper, we sketch a model of scientific rationality that accommodates both problems. We first provide a framework within which it is possible to make sense of scientific revolutions, (...)
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  2. A Coherence Theory of Truth.Newton da Costa, Otávio Bueno & Steven French - 2005 - Manuscrito 28 (2):263-290.
    In this paper, we provide a new formulation of a coherence theory of truth using the resources of the partial structures approach − in particular the notions of partial structure and quasi-truth. After developing this new formulation, we apply the resulting theory to the philosophy of mathematics, and argue that it can be used to develop a new account of nominalism in mathematics. This application illustrates the strength and usefulness of the proposed formulation of a coherence theory of truth.
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  3.  66
    On the Theory of Inconsistent Formal Systems.Newton C. A. Da Costa - 1974 - Notre Dame Journal of Formal Logic 15 (4):497-510.
  4.  95
    The Model-Theoretic Approach in the Philosophy of Science.Newton C. A. da Costa & Steven French - 1990 - Philosophy of Science 57 (2):248 - 265.
    An introduction to the model-theoretic approach in the philosophy of science is given and it is argued that this program is further enhanced by the introduction of partial structures. It is then shown that this leads to a natural and intuitive account of both "iconic" and mathematical models and of the role of the former in science itself.
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  5.  58
    The Logic of Pragmatic Truth.Newton C. A. Da Costa, Otávio Bueno & Steven French - 1998 - Journal of Philosophical Logic 27 (6):603-620.
    The mathematical concept of pragmatic truth, first introduced in Mikenberg, da Costa and Chuaqui (1986), has received in the last few years several applications in logic and the philosophy of science. In this paper, we study the logic of pragmatic truth, and show that there are important connections between this logic, modal logic and, in particular, Jaskowski's discussive logic. In order to do so, two systems are put forward so that the notions of pragmatic validity and pragmatic truth can be (...)
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  6. Rationality, Inconsistency, and Partial Structures.Otavio Bueno & Newton da Costa - manuscript
  7.  32
    On Suppes' Set Theoretical Predicates.Newton C. A. da Costa & Rolando Chuaqui - 1988 - Erkenntnis 29 (1):95 - 112.
  8.  11
    A Model Theoretic Approach to 'Natural' Reasoning.Newton C. A. da Costa & Steven French - 1993 - International Studies in the Philosophy of Science 7 (2):177-190.
    Abstract A general framework is proposed for accommodating the recent results of studies into ?natural? decision making. A crucial element of this framework is the notion of a ?partial structure?, recently introduced into the semantic approach to scientific theories. It is through the introduction of this element that connections can be made with certain problems regarding inconsistency and rationality in general.
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  9. Professor Newton CA da Costa Awarded Nicholas Copernicus University Medal of Merit.Newton C. A. da Costa, Jean-Yves Béziau & Otávio Bueno - 1999 - Logic and Logical Philosophy 7:7-10.
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  10.  11
    Pragmatic Truth and Approximation to Truth.Mikenberg Irene, C. A. Da Costa Newton & Chuaqui Rolando - 1986 - Journal of Symbolic Logic 51 (1):201 - 221.
    There are several conceptions of truth, such as the classical correspondence conception, the coherence conception and the pragmatic conception. The classical correspondence conception, or Aristotelian conception, received a mathematical treatment in the hands of Tarski (cf. Tarski [1935] and [1944]), which was the starting point of a great progress in logic and in mathematics. In effect, Tarski's semantic ideas, especially his semantic characterization of truth, have exerted a major influence on various disciplines, besides logic and mathematics; for instance, linguistics, the (...)
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  11.  7
    Pragmatic Probability.Newton C. A. da Costa - 1986 - Erkenntnis 25 (2):141 - 162.
  12.  97
    Time in Thermodynamics.Newton C. A. Da Costa & Adonai S. Sant'Anna - 2002 - Foundations of Physics 32 (11):1785-1796.
    We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to show that time is dispensable in continuum thermodynamics, according to the axiomatic formulation of Gurtin and Williams. We also show how to define time by means of the remaining primitive concepts of Gurtin and Williams system. Finally, we introduce thermodynamics without time as a primitive concept.
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  13.  23
    Quantum Mechanics: Ontology Without Individuals.Newton da Costa & Olimpia Lombardi - 2014 - Foundations of Physics 44 (12):1246-1257.
    The purpose of the present paper is to consider the traditional interpretive problems of quantum mechanics from the viewpoint of a modal ontology of properties. In particular, we will try to delineate a quantum ontology that (i) is modal, because describes the structure of the realm of possibility, and (ii) lacks the ontological category of individual. The final goal is to supply an adequate account of quantum non-individuality on the basis of this ontology.
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  14.  52
    Logical and Philosophical Remarks on Quasi-Set Theory.Newton Da Costa - 2007 - Logic Journal of the IGPL 15 (5-6):421-431.
    Quasi-set theory is a theory for dealing with collections of indistinguishable objects. In this paper we discuss some logical and philosophical questions involved with such a theory. The analysis of these questions enable us to provide the first grounds of a possible new view of physical reality, founded on an ontology of non-individuals, to which quasi-set theory may constitute the logical basis.
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  15.  29
    An Intensional Schrödinger Logic.Newton C. A. Da Costa & Décio Krause - 1997 - Notre Dame Journal of Formal Logic 38 (2):179-194.
    We investigate the higher-order modal logic , which is a variant of the system presented in our previous work. A semantics for that system, founded on the theory of quasi sets, is outlined. We show how such a semantics, motivated by the very intuitive base of Schrödinger logics, provides an alternative way to formalize some intensional concepts and features which have been used in recent discussions on the logical foundations of quantum mechanics; for example, that some terms like 'electron' have (...)
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  16.  9
    Partial Structures and the Logic of Azande.Newton da Costa & Steven French - 1995 - American Philosophical Quarterly 32 (4):325 - 339.
  17. Suppes Predicates for Space-Time.Newton C. A. Da Costa, Otávio Bueno & Steven French - 1997 - Synthese 112 (2):271-279.
    We formulate Suppes predicates for various kinds of space-time: classical Euclidean, Minkowski's, and that of General Relativity. Starting with topological properties, these continua are mathematically constructed with the help of a basic algebra of events; this algebra constitutes a kind of mereology, in the sense of Lesniewski. There are several alternative, possible constructions, depending, for instance, on the use of the common field of reals or of a non-Archimedian field (with infinitesimals). Our approach was inspired by the work of Whitehead (...)
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  18.  16
    A Semantical Analysis of the Calculi ${\Bf C}_n$.Newton C. A. Da Costa & E. H. Alves - 1977 - Notre Dame Journal of Formal Logic 18 (4):621-630.
  19.  13
    A Modal Ontology of Properties for Quantum Mechanics.Newton da Costa, Olimpia Lombardi & Mariano Lastiri - 2013 - Synthese 190 (17):3671-3693.
    Our purpose in this paper is to delineate an ontology for quantum mechanics that results adequate to the formalism of the theory. We will restrict our aim to the search of an ontology that expresses the conceptual content of the recently proposed modal-Hamiltonian interpretation, according to which the domain referred to by non-relativistic quantum mechanics is an ontology of properties. The usual strategy in the literature has been to focus on only one of the interpretive problems of the theory and (...)
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  20.  85
    Physics, Inconsistency, and Quasi-Truth.Newton C. A. Da Costa & Décio Krause - 2014 - Synthese 191 (13):3041-3055.
    In this work, the first of a series, we study the nature of informal inconsistency in physics, focusing mainly on the foundations of quantum theory, and appealing to the concept of quasi-truth. We defend a pluralistic view of the philosophy of science, grounded on the existence of inconsistencies and on quasi-truth. Here, we treat only the ‘classical aspects’ of the subject, leaving for a forthcoming paper the ‘non-classical’ part.
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  21. Malinowski and Suszko on Many-Valued Logics: On the Reduction of Many-Valuedness to Two-Valuedness.Newton da Costa, Jean-Yves Béziau & Otávio Bueno - 1996 - Modern Logic 6 (1):272--299.
  22. Théorie de la Valuation.Newton Ca da Costa & Jean-Yves Béziau - 1994 - Logique Et Analyse 146 (146):95-117.
     
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  23. Alpha-Models and Systems T and T.Newton C. A. da Costa - 1974 - Notre Dame Journal of Formal Logic 15:443.
  24.  16
    Définition, Théorie des Objets et Paraconsistance.Newton C. A. Da Costa & Jean-Yves Béziau - 1998 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 13 (2):367-379.
    Trois sortes de définitions sont présentées et discutées: les définitions nominales, les définitions contextuelles et les définitions amplificatrices. On insiste sur le fait que I’elimination des definitions n’est pas forcement un procede automatique en particulier dans le cas de la logique paraconsistante. Finalement on s’int’resse à la théorie des objets de Meinong et l’on montre comment elle peut êrre considéréecomme une théorie des descripteurs.Three kinds of definitions are presented and discussed: nominal definitions, contextual definitions, amplifying definitions. It is emphasized that (...)
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  25.  30
    On the Incompleteness of Axiomatized Models for the Empirical Sciences.Newton C. A. da Costa & Francisco Antonio Doria - 1992 - Philosophica 50.
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  26.  15
    Belief, Contradiction and the Logic of Self-Deception.Newton C. A. da Costa & Steven French - 1990 - American Philosophical Quarterly 27 (3):179 - 197.
    The apparently paradoxical nature of self-deception has attracted a great deal of controversy in recent years. Focussing on those aspects of the phenomenon which involve the holding of "contradictory" beliefs, it is our intention to argue that this presents no "paradox" if a non-classical, "paraconsistent", doxastic logic is adopted. (On such logics, see, for example, N. C. A. da Costa, 'On the theory of inconsistent formal systems', Notre Dame J Formal Logic 11(1974), 497-510, and A. I. Arruda, 'A survey of (...)
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  27.  19
    Paraconsistency: Towards a Tentative Interpretation.Newton C. A. Da Costa & Otávio Bueno - 2001 - Theoria 16 (40):119-145.
    In this expository paper, we examine some philosophical and technical issues brought by paraconsistency . We also suggest a way of accommodating these issues by considering some problems in the philosophy of logic from a new perspective.
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  28.  11
    A Semantical Analysis of the Calculi C N.Newton C. A. Da Costa & E. H. Alves - 1977 - Notre Dame Journal Fo Formal Logic 18 (4):621-630.
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  29.  34
    Paraconsistency.Newton C. A. da Costa - 2001 - Theoria 16 (1):119-145.
    In this expository paper, we examine some philosophical and technical issues brought by paraconsistency (such as, motivations for developing a paraconsistent logic, the nature of this logic, and its application to set theory). We also suggest a way of accommodating these issues by considering some problems in the philosophy of logic from a new perspective.
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  30.  15
    Paraconsistent Logic in a Historical Perspective.Newton Ca da Costa, Jean-Yves Beziau & Otavio Bueno - 1995 - Logique Et Analyse 38:111-125.
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  31.  15
    The Paraconsistent Logics PJ.Newton C. A. da Costa, V. S. Subrahmanian & Carlo Vago - 1991 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 37 (9-12):139-148.
  32.  11
    The Undecidability of Formal Definitions in the Theory of Finite Groups.Newton Ca da Costa, Francisco A. Doria & Marcelo Tsuji - 1995 - Bulletin of the Section of Logic 24:56-63.
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  33.  25
    Derecho, moral y preferencias valorativas.Leila C. Puga, Newton C. A. Da Costa & Roberto José Vernengo - 1990 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 5 (12):9-29.
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  34.  21
    A Note on Temporal Logic.Newton da Costa & Steven French - 1989 - Bulletin of the Section of Logic 18 (2):51-55.
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  35. What is Semantics? A Brief Note on a Huge Question.Newton da Costa, Otávio Bueno & Jean-Yves Béziau - 1995 - Sorites 3:43-47.
    After mentioning the cogent connection between pure semantics and the particular set theoretical framework in which it is formulated, some issues regarding the conceptual status of semantics itself, as well as its relationship to logic, are concisely raised.
     
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  36.  3
    Aspects of Paraconsistent Logic.Newton A. da Costa, Jean-Yves Beziau & Otavio S. Bueno - 1995 - Logic Journal of the IGPL 3 (4):597-614.
  37.  3
    Consistency, Paraconsistency and Truth: Logic, the Whole Logic and Nothing but the Logic.Newton [Y.] Otávio Bueno Da Costa - 1996 - Ideas Y Valores 100:48-60.
  38.  26
    A Formal Framework for the Study of the Notion of Undefined Particle Number in Quantum Mechanics.Newton C. A. Da Costa & Federico Holik - 2015 - Synthese 192 (2):505-523.
    It is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of (...)
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  39.  14
    Opening Address: Paraconsistent Logic.Newton C. A. Da Costa - 1999 - Logic and Logical Philosophy 7:25.
    I am honoured with and touched by the invitation of delivering the opening address of this Congress. Firstly, to see paraconsistent logic flourishing and growing, as we can readily see by simply glacing over the programme of this conference, is among one of my greatest joys. Secondly, and equally important, because this congress takes place in the University of Toruń.I am honoured for having lectured here, a most congenial and stimulating place, and could not think of a better place for (...)
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  40.  15
    Α Logic and Infinitary Languages.Newton C. A. da Costa & Charles C. Pinter - 1976 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 22 (1):105-112.
  41.  46
    Définition, Théorie des Objets et Paraconsistance (Definition, Objects' Theory and Paraconsistance).Newton C. A. da Costa & Jean-Yves Béziau - 1998 - Theoria 13 (2):367-379.
    Trois sortes de définitions sont présentées et discutées: les définitions nominales, les définitions contextuelles et les définitions amplificatrices. On insiste sur le fait que I’elimination des definitions n’est pas forcement un procede automatique en particulier dans le cas de la logique paraconsistante. Finalement on s’int’resse à la théorie des objets de Meinong et l’on montre comment elle peut êrre considéréecomme une théorie des descripteurs.Three kinds of definitions are presented and discussed: nominal definitions, contextual definitions, amplifying definitions. It is emphasized that (...)
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  42.  68
    Remarks on the Applications of Paraconsistent Logic to Physics.Newton C. A. da Costa & Décio Krause - unknown
    In this paper we make some general remarks on the use of non-classical logics, in particular paraconsistent logic, in the foundational analysis of physical theories. As a case-study, we present a reconstruction of P.\ -D.\ F\'evrier's 'logic of complementarity' as a strict three-valued logic and also a paraconsistent version of it. At the end, we sketch our own approach to complementarity, which is based on a paraconsistent logic termed 'paraclassical logic'.
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  43.  3
    The Paraconsistent Logics PJ.Newton C. A. da Costa, V. S. Subrahmanian & Carlo Vago - 1991 - Mathematical Logic Quarterly 37 (9‐12):139-148.
  44.  14
    On The Imaginary Logic of N. A. VASILIEV.Leila Z. Puga & Newton C. A. Da Costa - 1988 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 34 (3):205-211.
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  45.  52
    Issues in the Foundations of Science, I: Languages, Structures, and Models.Newton C. A. da Costa, Décio Krause & Otávio Bueno - 2010 - Manuscrito 33 (1):123-141.
    In this first paper of a series of works on the foundations of science, we examine the significance of logical and mathematical frameworks used in foundational studies. In particular, we emphasize the distinction between the “order of a language” and the “order of a structure” to prevent confusing models of scientific theories with first-order structures, and which are studied in standard model theory. All of us are, of course, bound to make abuses of language even in putatively precise contexts. This (...)
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  46.  4
    Opening Address: Paraconsistent Logic.Newton C. A. Da Costa - 1999 - Logic and Logical Philosophy 7:25-34.
  47.  45
    Quasi-Truth, Supervaluations and Free Logic.Newton C. A. da Costa & Otavio Bueno - 1999 - History and Philosophy of Logic 20 (3-4):215-226.
    The partial structures approach has two major components: a broad notion of structure (partial structure) and a weak notion of truth (quasi-truth). In this paper, we discuss the relationship between this approach and free logic. We also compare the model-theoretic analysis supplied by partial structures with the method of supervaluations, which was initially introduced as a technique to provide a semantic analysis of free logic. We then combine the three formal frameworks (partial structures, free logic and supervaluations), and apply the (...)
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  48.  13
    The Paraconsistent Approach to Quantum Superpositions Reloaded: Formalizing Contradictiory Powers in the Potential Realm.Newton C. A. da Costa & Christian de Ronde - unknown
    In [7] the authors of this paper argued in favor of the possibility to consider a Paraconsistent Approach to Quantum Superpositions. We claimed that, even though most interpretations of quantum mechanics attempt to escape contradictions, there are many hints -coming from present technical and experimental developments in QM- that indicate it could be worth while to engage in a research of this kind. Recently, Arenhart and Krause have raised several arguments against the PAQS [1, 2, 3]. In [11, 12] it (...)
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  49.  13
    A Set-Theoretic Predicate for Semantics in Natural and Formal Languages.Adonai Sant'Anna, Otavio Bueno & Newton da Costa - unknown
    We present an axiomatic framework for semantics that can be applied to natural and formal languages. Our main goal is to suggest a very simple mathematical model that describes fundamental cognitive aspects of the human brain and that can still be applied to artificial intelligence. One of our main results is a theorem that allows us to infer syntactical properties of a language out of its corresponding semantics. The role of pragmatics in semantics in our mathematical framework is also discussed.
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  50.  34
    On Russell's Principle of Induction.Newton C. A. da Costa & Steven French - 1991 - Synthese 86 (2):285 - 295.
    An improvement on Horwich's so-called "pseudo-proof" of Russell's principle of induction is offered, which, we believe, avoids certain objections to the former. Although strictly independent of our other work in this area, a connection can be made and in the final section we comment on this and certain questions regarding rationality, etc.
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