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  1. Jonas R. Becker Arenhart & Otávio Bueno (forthcoming). Structural Realism and the Nature of Structure. European Journal for Philosophy of Science:1-29.
    Ontic Structural Realism is a version of realism about science according to which by positing the existence of structures, understood as basic components of reality, one can resolve central difficulties faced by standard versions of scientific realism. Structures are invoked to respond to two important challenges: one posed by the pessimist meta-induction and the other by the underdetermination of metaphysics by physics, which arises in non-relativistic quantum mechanics. We argue that difficulties in the proper understanding of what a structure is (...)
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  2. Jonas R. Becker Arenhart (2012). Finite Cardinals in Quasi-Set Theory. Studia Logica 100 (3):437-452.
    Quasi-set theory is a ZFU-like axiomatic set theory, which deals with two kinds of ur-elements: M-atoms, objects like the atoms of ZFU, and m-atoms, items for which the usual identity relation is not defined. One of the motivations to advance such a theory is to deal properly with collections of items like particles in non-relativistic quantum mechanics when these are understood as being non-individuals in the sense that they may be indistinguishable although identity does not apply to them. According to (...)
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  3. Jonas R. Becker Arenhart (2012). Many Entities, No Identity. Synthese 187 (2):801-812.
    The aim of this paper is to argue that some objections raised by Jantzen (Synthese, 2010 ) against the separation of the concepts of ‘counting’ and ‘identity’ are misled. We present a definition of counting in the context of quasi-set theory requiring neither the labeling nor the identity and individuality of the counted entities. We argue that, contrary to what Jantzen poses, there are no problems with the technical development of this kind of definition. As a result of being able (...)
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  4. 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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  5. Jonas R. Becker Arenhart & Fernando T. F. Moraes (2011). Estruturas, Modelos e os Fundamentos da Abordagem Semântica. Principia 14 (1):15-30.
    Neste artigo, a partir de tópicos presentes na obra de Newton C. A. da Costa, propomos uma fundamentação rigorosa para de uma possível formulação de teorias científicas através da abordagem semântica. Seguindo da Costa, primeiramente desenvolveremos uma teoria geral das estruturas; no contexto desta teoria de estruturas mostraremos como caracterizar linguagens formais como um tipo particular de estrutura, mais especificamente, como uma álgebra livre. Em seguida, discutiremos como associar uma linguagem a uma estrutura, com a qual poderemos formular axiomas que (...)
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  6. 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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