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Profile: Décio Krause
  1. Décio Krause & Jonas R. B. Arenhart (forthcoming). Separability and Non-Individuality: Is It Possible to Conciliate (At Least A Form Of) Einstein's Realism with Quantum Mechanics? Foundations of Physics:1-20.
    In this paper we argue that physical theories, including quantum mechanics, refer to some kind of ‘objects’, even if only implicitly. We raise questions about the logico-mathematical apparatuses commonly employed in such theories, bringing to light some metaphysical presuppositions underlying such apparatuses. We point out to some incongruities in the discourse holding that quantum objects would be entities of some ‘new kind’ while still adhering to the logico-mathematical framework we use to deal with classical objects. The use of such apparatus (...)
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  2. Décio Krause, Adonai S. Sant’Anna & Aurélio Sartorelli (forthcoming). On the Concept of Identity in Zermelo-Fraenkel-Like Axioms and its Relationship with Quantum Statistics. Logique Et Analyse.
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  3. Jonas Becker Arenhart & Décio Krause (2014). From Primitive Identity to the Non-Individuality of Quantum Objects. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46:273-282.
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  4. Jonas Rafael Becker Arenhart & Décio Krause (2013). Why Non-Individuality? A Discussion on Individuality, Identity, and Cardinality in the Quantum Context. Erkenntnis (1):1-18.
    Recently, in the debate about the ontology of quantum mechanics some authors have defended the view that quantum particles are individuals in a primitive sense, so that individuality should be preferred over non-individuality (the alternative option). Primitive individuality involves two main claims: (1) every item is identical with itself and (2) it is distinct from every other item. Non-relativistic quantum mechanics is said to provide positive evidence for that position, since in every situation comprising multiple particles there is a well-defined (...)
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  5. Decio Krause (2013). A inseparabilidade entre lógica E a ética. Philósophos - Revista de Filosofia 18 (1):245-259.
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  6. Décio Krause & Jonas Rafael Becker Arenhart (2013). Perspectivism in Philosophy of Science: A Case-Study in Quantum Physics. Scientiae Studia 11 (1):159-183.
    Neste artigo, apresentaremos uma visão particular do desenvolvimento de teorias científicas que denominamos (inspirados em Ortega y Gasset) "perspectivismo". Discutiremos como, através desse enfoque, é possível compatibilizar diversas descrições aparentemente distintas e incompatíveis de uma suposta realidade que se investiga. Fazemos isso distinguindo entre a "realidade" (R) e a "descrição empírica da realidade" (Re). Aceitando que podemos ter diversas descrições empíricas de uma mesma realidade, discutimos o caso particular em que esse esquema é utilizado nos debates atuais acerca da ontologia (...)
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  7. Decio Krause & Pedro Merlussi (2013). A ética do uso E da seleção de embriões. Philósophos - Revista de Filosofia 18 (1):219-232.
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  8. Jonas Rafael Becker Arenhart & Décio Krause (2012). Indistinguibilidade, não reflexividade, ontologia e física quântica. Scientiae Studia 10 (1):41-69.
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  9. Newton Carneiro Affonso da Costa, Décio Krause, Jonas Rafael Becker Arenhart & Jaison Schinaider (2012). Sobre uma fundamentação não reflexiva da mecânica quântica. Scientiae Studia 10 (1):71-104.
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  10. Décio Krause & Jonas R. Becker Arenhart (2012). A Discussion on Quantum Non-Individuality. Journal of Applied Non-Classical Logics 22 (1-2):105-124.
    In this paper we consider the notions of structure and models within the semantic approach to theories. To highlight the role of the mathematics used to build the structures which will be taken as the models of theories, we review the notion of mathematical structure and of the models of scientific theories. Then, we analyse a case-study and argue that if a certain metaphysical view of quantum objects is adopted, one seeing them as non-individuals, then there would be strong reasons (...)
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  11. Décio Krause & Jonas R. Becker Arenhart (2012). A Discussion on Quantum Non-Individuality. Journal of Applied Non-Classical Logics 22 (1-2):105-124.
    In this paper we consider the notions of structure and models within the semantic approach to theories. To highlight the role of the mathematics used to build the structures which will be taken as the models of theories, we review the notion of mathematical structure and of the models of scientific theories. Then, we analyse a case-study and argue that if a certain metaphysical view of quantum objects is adopted, one seeing them as non-individuals, then there would be strong reasons (...)
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  12. Mauri Cunha do Nascimento, Décio Krause & Hércules Araújo Feitosa (2011). The Quasi-Lattice of Indiscernible Elements. Studia Logica 97 (1):101-126.
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  13. Mauri Cunha do Nascimento, Décio Krause & Hércules de Araújo Feitosa (2011). The Quasi-Lattice of Indiscernible Elements. Studia Logica 97 (1):101-126.
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  14. Don Howard, Bas van Fraassen, Otávio Bueno, Elena Castellani, Laura Crosilla, Steven French & Décio Krause (2011). The Physics and Metaphysics of Identity and Individuality. Metascience 20 (2):225-251.
    The physics and metaphysics of identity and individuality Content Type Journal Article DOI 10.1007/s11016-010-9463-7 Authors Don Howard, Department of Philosophy and Graduate Program in History and Philosophy of Science, University of Notre Dame, Notre Dame, IN 46556, USA Bas C. van Fraassen, Philosophy Department, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA 94132, USA Otávio Bueno, Department of Philosophy, University of Miami, Coral Gables, FL 33124, USA Elena Castellani, Department of Philosophy, University of Florence, Via Bolognese 52, 50139 (...)
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  15. Décio Krause, Jonas Arenhart & Fernando Moraes (2011). Axiomatization and Models of Scientific Theories. Foundations of Science 16 (4):363-382.
    In this paper we discuss two approaches to the axiomatization of scientific theories in the context of the so called semantic approach, according to which (roughly) a theory can be seen as a class of models. The two approaches are associated respectively to Suppes’ and to da Costa and Chuaqui’s works. We argue that theories can be developed both in a way more akin to the usual mathematical practice (Suppes), in an informal set theoretical environment, writing the set theoretical predicate (...)
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  16. Mauri Cunha do Nascimento, Décio Krause & Hércules de Araújo Feitosa (2011). The Quasi-Lattice of Indiscernible Elements. Studia Logica 97 (1):101 - 126.
    The literature on quantum logic emphasizes that the algebraic structures involved with orthodox quantum mechanics are non distributive. In this paper we develop a particular algebraic structure, the quasi-lattice (J-lattice), which can be modeled by an algebraic structure built in quasi-set theory Q. This structure is non distributive and involve indiscernible elements. Thus we show that in taking into account indiscernibility as a primitive concept, the quasi-lattice that 'naturally' arises is non distributive.
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  17. Otávio Bueno & Décio Krause (2010). Scientific Theories, Models, and the Semantic Approach. Principia 11 (2):187-201.
    According to the semantic view, a theory is characterized by a class of models. In this paper, we examine critically some of the assumptions that underlie this approach. First, we recall that models are models of something. Thus we cannot leave completely aside the axiomatization of the theories under consideration, nor can we ignore the metamathematics used to elaborate these models, for changes in the metamathematics often impose restrictions on the resulting models. Second, based on a parallel between van Fraassen’s (...)
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  18. Newton C. A. da Costa, Décio Krause & Otávio Bueno, Issues in the Foundations of Science, I: Languages, Structures, and Models.
    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 (as set-theoretical structures) with first-order structures (called here order-1 structures), and which are studied in standard (first-order) model theory. All of us are, of course, bound to make abuses (...)
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  19. Steven French & Décio Krause (2010). Remarks on the Theory of Quasi-Sets. Studia Logica 95 (1/2):101 - 124.
    Quasi-set theory has been proposed as a means of handling collections of indiscernible objects. Although the most direct application of the theory is quantum physics, it can be seen per se as a non-classical logic (a non-reflexive logic). In this paper we revise and correct some aspects of quasi-set theory as presented in [12], so as to avoid some misunderstandings and possible misinterpretations about the results achieved by the theory. Some further ideas with regard to quantum field theory are also (...)
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  20. Décio Krause (2010). Introdução aos fundamentos axiomáticos da ciência. Principia 6 (2):315-319.
    Review of the KRAUSE, Décio "Introdução aos Fundamentos Axiomáticos da Ciência" São Paulo EPU, 2002.
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  21. Décio Krause (2010). Logical Aspects of Quantum (Non-)Individuality. Foundations of Science 15 (1):79-94.
    In this paper I consider some logical and mathematical aspects of the discussion of the identity and individuality of quantum entities. I shall point out that for some aspects of the discussion, the logical basis cannot be put aside; on the contrary, it leads us to unavoidable conclusions which may have consequences in how we articulate certain concepts related to quantum theory. Behind the discussion, there is a general argument which suggests the possibility of a metaphysics of non-individuals, based on (...)
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  22. Décio Krause (2010). Resenha de: DUTRA, L. H. de A. e MORTARI, C. A. (eds.) Princípios: seu papel na filosofia e nas ciências. Principia 4 (2):327-330.
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  23. Decio Krause & Otavio Bueno, Ontological Issues in Quantum Theory.
    In this paper, we examine the concept of particle as it appears in quantum field theories (QFT), focusing on a puzzling situation regarding this concept. Although quantum ‘particles’ arise from fields, which form the basic ontology of QFT, and thus a certain concept of ‘particle’ is al- ways available, the properties ascribed to such ‘particles’ are not completely in agreement with the mathematical and logical description of such fields, which should be taken as individuals.
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  24. Jonas R. Becker Arenhart & Décio Krause (2009). Quantifiers and the Foundations of Quasi-Set Theory. Principia 13 (3):251-268.
    http://dx.doi.org/10.5007/1808-1711.2009v13n3p251 Neste artigo discutimos algumas questões propostas por Newton da Costa relacionadas aos fundamentos da teoria de quase-conjuntos. Seus questionamentos aqui considerados tratam da possibilidade de uma compreenão semântica da teoria, principalmente devido ao fato de que identidade e diferença podem não ser aplicáveis para algumas das entidades no domínio pretendido da teoria. De acordo com ele, o modo usual de se compreender os quantificadores utilizados na teoria depende da hipótese de que a identidade deve valer para todas as entidades (...)
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  25. Décio Krause (2009). Newton da Costa e a Filosofia de Quase-verdade. Principia 13 (2):105-128.
    Este artigo pretende introduzir os três volumes de Principia que aparecerão em sequência homenageando os 80 anos do professor Newton da Costa. Ao invés de apresentar os artigos um a um, como se faz usualmente em uma introdução como esta, preferimos deixar os artigos falarem por si, e oforoecer aos leitores brasileiros, especialmente nossos estudantes, alguns aspectos da concepção de ciência e da atividade científica de Newton da Costa, fundamentadas no conceito de quase-verdade, que ele contribuiu para desenvolver de modo (...)
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  26. Dècio Krause (2009). Questões a uma teoria de quase-objetos. Manuscrito 32 (2).
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  27. Graciela Domenech, Federico Holik & Décio Krause (2008). Q-Spaces and the Foundations of Quantum Mechanics. Foundations of Physics 38 (11):969-994.
    Our aim in this paper is to take quite seriously Heinz Post’s claim that the non-individuality and the indiscernibility of quantum objects should be introduced right at the start, and not made a posteriori by introducing symmetry conditions. Using a different mathematical framework, namely, quasi-set theory, we avoid working within a label-tensor-product-vector-space-formalism, to use Redhead and Teller’s words, and get a more intuitive way of dealing with the formalism of quantum mechanics, although the underlying logic should be modified. We build (...)
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  28. Décio Krause (2008). Física e Ontologia. Discusiones Filosóficas 9 (12):57 - 74.
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  29. Décio Krause (2008). Physics and Ontology. Discusiones Filosóficas 9 (12):57 - 74.
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  30. Decio Krause & Hercules Araujo Feitosdea, Algebraic Aspects of Quantum Indiscernibility.
    We show that using quasi-set theory, or the theory of collections of indistinguishable objects, we can define an algebra that has most of the standard properties of an orthocomplete orthomodular lattice, which is the lattice of all closed subspaces of a Hilbert space. We call the mathematical structure so obtained $\mathfrak{I}$-lattice. After discussing (in a preliminary form) some aspects of such a structure, we indicate the next problem of axiomatizing the corresponding logic, that is, a logic which has $\mathfrak{I}$-lattices as (...)
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  31. Jean-Yves Béziau & Décio Krause (2007). New Trends in the Foundations of Science. Synthese 154 (3):345 - 347.
  32. Newton C. A. da Costa & Décio Krause, Logical and Philosophical Remarks on Quasi-Set Theory.
    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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  33. Decio Krause, Entity, but No Identity.
    Inspired in Quine's well known slogans “To be is to be the value of a variable” and "No entity without identity", we provide a way of enabling that non-individual entities (as characterized in the text) can also be values of variables of an adequate "regimented" language, once we consider a possible meaning of the background theory Quine reports to ground his view. In doing that, we show that there may exist also entities without identity, and emphasize the importance of paying (...)
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  34. Décio Krause & Otávio Bueno (2007). Scientific Theories, Models, and the Semantic Approach. Principia 11 (2):187-201.
    According to the semantic view, a theory is characterized by a class of mod- els. In this paper, we examine critically some of the assumptions that underlie this approach. First, we recall that models are models of something. Thus we cannot leave completely aside the axiomatization of the theories under consider- ation, nor can we ignore the metamathematics used to elaborate these models, for changes in the metamathematics often impose restrictions on the resulting models. Second, based on a parallel between (...)
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  35. Décio Krause & Steven French (2007). Quantum Sortal Predicates. Synthese 154 (3):417 - 430.
    Sortal predicates have been associated with a counting process, which acts as a criterion of identity for the individuals they correctly apply to. We discuss in what sense certain types of predicates suggested by quantum physics deserve the title of ‘sortal’ as well, although they do not characterize either a process of counting or a criterion of identity for the entities that fall under them. We call such predicates ‘quantum-sortal predicates’ and, instead of a process of counting, to them is (...)
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  36. Décio Krause, Eric Schliesser & Hanne Andersen (2007). Book Reviews. [REVIEW] International Studies in the Philosophy of Science 21 (3):345 – 357.
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  37. João Carlos Marques Magalhães & Décio Krause (2006). Teorias e Modelos em Genética de Populações: Um exemplo do uso do Método Axiomático em Biologia. Episteme 11 (24):269-291.
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  38. Décio Krause & Antonio M. N. Coelho (2005). Identity, Indiscernibility, and Philosophical Claims. Axiomathes 15 (2):191-210.
    The concept of indiscernibility in a structure is analysed with the aim of emphasizing that in asserting that two objects are indiscernible, it is useful to consider these objects as members of (the domain of) a structure. A case for this usefulness is presented by examining the consequences of this view to the philosophical discussion on identity and indiscernibility in quantum theory.
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  39. Décio Krause & Antonio Mariano Nogueira Coelho (2005). Identity, Indiscernibility, and Philosophical Claims. Axiomathes 15 (2):191-210.
    The concept of indiscernibility in a structure is analysed with the aim of emphasizing that in asserting that two objects are indiscernible, it is useful to consider these objects as members of (the domain of) a structure. A case for this usefulness is presented by examining the consequences of this view to the philosophical discussion on identity and indiscernibility in quantum theory.
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  40. Pavel Materna, Ari Maunu, Generalist Transworld Identitism & Decio Krause (2005). Max Cresswell, Even Modal Realists Should Do the Best They Can 3 Leon Horsten, Remarks on the Content and Extension of the Notion of Provability 15 Marcel Crabbé, Une Élimination Des Coupures Ne Tolérant. [REVIEW] Logique Et Analyse 48.
     
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  41. Newton C. A. da Costa & Décio Krause, The Logic of Complementarity.
    This paper is the sequel of a previous one where we have introduced a paraconsistent logic termed paraclassical logic to deal with 'complementary propositions'. Here, we enlarge upon the discussion by considering certain 'meaning principles', which sanction either some restrictions of 'classical' procedures or the utilization of certain 'classical' incompatible schemes in the domain of the physical theories. Here, the term 'classical' refers to classical physics. Some general comments on the logical basis of a scientific theory are also put in (...)
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  42. Newton C. A. da Costa & Décio Krause, Remarks on the Applications of Paraconsistent Logic to Physics.
    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. Steven French & Décio Krause (2003). Quantum Vagueness. Erkenntnis 59 (1):97 - 124.
    It has been suggested that quantum particles are genuinelyvague objects (Lowe 1994a). The present work explores thissuggestion in terms of the various metaphysical packages that areavailable for describing such particles. The formal frameworksunderpinning such packages are outlined and issues of identityand reference are considered from this overall perspective. Indoing so we hope to illuminate the diverse ways in whichvagueness can arise in the quantum context.
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  44. Geraldo Gelowate, Décio Krause & Antonio Mariano Nogueira Coelho (2003). Observações sobre a neutralidade ontológica da matemática. Episteme 17:145-157.
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  45. Marcello Guarini, Causality Bohm’S. Metaphors, Steven French, Décio Krause, Michael Friedman, Ludwig Wittgenstein & Clark Glymour (2003). Christian Arnsperger and Yanis Varoufakis. Erkenntnis 59 (1):431-432.
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  46. Décio Krause, Structures and Structural Realism.
    The 'ontic' form of structural realism (OSR), roughly speaking, aims at a complete elimination of objects of the discourse of scientific theories, leaving us with structures only. As put by the defenders of such a claim, the idea is that all there is are structures and, if the relevant structures are to be set theoretical constructs, as it has also been claimed, then the relations which appear in such structures should be taken to be 'relations without the relata'. As far (...)
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  47. Décio Krause (2000). Remarks on Quantum Ontology. Synthese 125 (1-2):155-167.
    Despite the discrepancies between quantum objects and `classical' ones, mainly with regard to the fact that the latter may be thought of as `individuals', contrary to the former, we still regard the quanta as `things' in our ordinary discourse as well as in the logico-mathematical basis of quantum theories. This paper considers some possibilities for accomodating the logico-mathematical framework of the theories which deal with such a strange ontology where the inhabitants are things devoid of identity and both having and (...)
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  48. Adonai S. Sant’Anna, Decio Krause, Croca Jr, M. Ferrero, A. Garuccio & V. L. Lepore (1998). List of Contents: Volume 10, Number 5, October 1997. Foundations of Physics 28 (2).
  49. Newton C. A. Da Costa & Décio Krause (1997). An Intensional Schrödinger Logic. 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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