86 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. Science and Partial Truth a Unitary Approach to Models and Scientific Reasoning.Newton C. A. da Costa & Steven French - 2003 - Oxford University Press.
    Da Costa and French explore the consequences of adopting a 'pragmatic' notion of truth in the philosophy of science. Their framework sheds new light on issues to do with belief, theory acceptance, and the realism-antirealism debate, as well as the nature of scientific models and their heuristic development.
     
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  3.  79
    The Paraconsistent Logic of Quantum Superpositions.Newton C. A. da Costa & Christian de Ronde - 2013 - Foundations of Physics 43 (7):845-858.
    Physical superpositions exist both in classical and in quantum physics. However, what is exactly meant by ‘superposition’ in each case is extremely different. In this paper we discuss some of the multiple interpretations which exist in the literature regarding superpositions in quantum mechanics. We argue that all these interpretations have something in common: they all attempt to avoid ‘contradiction’. We argue in this paper, in favor of the importance of developing a new interpretation of superpositions which takes into account contradiction, (...)
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  4.  35
    Philippe de Rouilhan. Russell et le cercle ties paradoxes. Épiméthée. Presses Universitaires de France, Paris1996, 319 pp. [REVIEW]Newton C. A. da Costa & Otavio Bueno - 1999 - Journal of Symbolic Logic 64 (4):1845-1847.
  5.  81
    On the Theory of Inconsistent Formal Systems.Newton C. A. Da Costa - 1974 - Notre Dame Journal of Formal Logic 15 (4):497-510.
  6. Science and Partial Truth: A Unitary Approach to Models and Scientific Reasoning.Newton C. A. da Costa & Steven French - 2003 - Oup Usa.
    Da Costa and French explore the consequences of adopting a 'pragmatic' notion of truth in the philosophy of science. Their framework sheds new light on issues to do with belief, theory acceptance, and the realism-antirealism debate, as well as the nature of scientific models and their heuristic development.
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  7.  8
    Revisiting the Applicability of Metaphysical Identity in Quantum Mechanics.Newton C. A. da Costa & Christian de Ronde - unknown
    We discuss the hypothesis that the debate about the interpretation of the orthodox formalism of quantum mechanics might have been misguided right from the start by a biased metaphysical interpretation of the formalism and its inner mathematical relations. In particular, we focus on the orthodox interpretation of the congruence relation, '=', which relates equivalent classes of different mathematical representations of a vector in Hilbert space, in terms of metaphysical identity. We will argue that this seemingly "common sense" interpretation, at the (...)
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  8. 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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  9.  82
    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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  10.  15
    Chris Mortensen. Inconsistent Mathematics. Mathematics and its Applications, Vol. 312. Kluwer Academic Publishers, Dordrecht, Boston, and London, 1995, Ix + 155 Pp. [REVIEW]Newton C. A. da Costa & Otávio Bueno - 1997 - Journal of Symbolic Logic 62 (2):683-685.
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  11.  83
    Non-Reflexive Logical Foundation for Quantum Mechanics.Newton C. A. da Costa & Christian de Ronde - 2014 - Foundations of Physics 44 (12):1369-1380.
    On the one hand, non-reflexive logics are logics in which the principle of identity does not hold in general. On the other hand, quantum mechanics has difficulties regarding the interpretation of ‘particles’ and their identity, also known in the literature as ‘the problem of indistinguishable particles’. In this article, we will argue that non-reflexive logics can be a useful tool to account for such quantum indistinguishability. In particular, we will provide a particular non-reflexive logic that can help us to analyze (...)
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  12.  33
    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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  13.  43
    On Suppes' Set Theoretical Predicates.Newton C. A. da Costa & Rolando Chuaqui - 1988 - Erkenntnis 29 (1):95 - 112.
  14.  24
    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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  15.  22
    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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  16.  5
    Pragmatic Truth and Approximation to Truth.Irene Mikenberg, Newton C. A. da Costa & Rolando Chuaqui - 1986 - Journal of Symbolic Logic 51 (1):201-221.
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  17.  16
    Pragmatic Probability.Newton C. A. Da Costa - 1986 - Erkenntnis 25 (2):141 - 162.
  18.  46
    Pragmatic Truth and the Logic of Induction.Newton C. A. da Costa & Steven French - 1989 - British Journal for the Philosophy of Science 40 (3):333-356.
    We apply the recently elaborated notions of 'pragmatic truth' and 'pragmatic probability' to the problem of the construction of a logic of inductive inference. It is argued that the system outlined here is able to overcome many of the objections usually levelled against such attempts. We claim, furthermore, that our view captures the essentially cumulative nature of science and allows us to explain why it is indeed reasonable to accept and believe in the conclusions reached by inductive inference.
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  19. 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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  20.  37
    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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  21.  24
    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.
  22.  45
    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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  23. 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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  24.  7
    On Suppes' Set Theoretical Predicates.Newton C. A. Da Costa & Rolando Chuaqui - 1988 - Erkenntnis 29 (1):95-112.
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  25.  37
    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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  26.  21
    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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  27.  15
    A Semantical Analysis of the Calculi Cn.Newton C. A. da Costa - 1977 - Notre Dame Journal of Formal Logic 18:621.
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  28. 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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  29. Alpha-Models and Systems T and T.Newton C. A. da Costa - 1974 - Notre Dame Journal of Formal Logic 15:443.
  30.  26
    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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  31.  5
    On Paraconsistent Deontic Logic.Newton C. A. Da Costa & Walter A. Carnielli - 1986 - Philosophia 16 (3-4):293-305.
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  32.  28
    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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  33.  11
    A Non-Realistic Approach for Natural Languages.Adonai Sant'Anna, Otávio Bueno & Newton C. A. da Costa - unknown
    The structure of natural languages is usually studied from three major different but interconnected points of view: syntax, semantics, and pragmatics. If we consider that the main purpose of natural languages is communication, we should consider another dimension for languages, which deals with the influence of internal states of communicating individuals on meanings. Such a dimension we refer to as internalism. Within this context, internalism cannot be confused with psycholinguistics, in the same way pragmatics cannot be confused with sociolinguistics. In (...)
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  34.  21
    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.
  35.  91
    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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  36.  6
    Studies in Paraconsistent Logic I: The Dialectical Principle of the Unity of Opposites.Newton C. A. Da Costa & Robert G. Wolf - 1980 - Philosophia 9 (2):189-217.
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  37.  48
    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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  38.  23
    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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  39.  82
    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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  40.  30
    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.  14
    The Paraconsistent Logics PJ.Newton C. A. da Costa, V. S. Subrahmanian & Carlo Vago - 1991 - Mathematical Logic Quarterly 37 (9‐12):139-148.
  42.  1
    Remarks On Abstract Galois Theory.Newton C. A. da Costa & Otávio Bueno - 2011 - Manuscrito 34 (1):151-183.
    This paper is a historical companion to a previous one, in which it was studied the so-called abstract Galois theory as formulated by the Portuguese mathematician José Sebastião e Silva ). Our purpose is to present some applications of abstract Galois theory to higher-order model theory, to discuss Silva’s notion of expressibility and to outline a classical Galois theory that can be obtained inside the two versions of the abstract theory, those of Mark Krasner and of Silva. Some comments are (...)
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  43.  12
    On The Imaginary Logic of N. A. VASILIEV.Leila Z. Puga & Newton C. A. Da Costa - 1988 - Mathematical Logic Quarterly 34 (3):205-211.
  44.  25
    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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  45.  25
    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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  46.  31
    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 (1-2):9-29.
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  47.  19
    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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  48.  66
    Issues in the Foundations of Science, I: Languages, Structures, and Models.Newton C. A. da Costa, Décio Krause & Otávio Bueno - unknown
    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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  49.  53
    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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  50.  31
    K-Transforms in Classical and Paraconsistent Logics.Newton C. A. Da Costa & Roque Da C. Caiero - 1999 - Logic and Logical Philosophy 7:63.
    We study some metamathematical properties of various classicaland paraconsistent logical systems. In particular, we discuss the concept ofa k-transform of a formula and consider some of its applications.
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