-
75From primitive identity to the non-individuality of quantum objectsStudies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (2): 273-282. 2014.We consider the claim by Dorato and Morganti 591–610) that primitive individuality should be attributed to the entities dealt with by non-relativistic quantum mechanics. There are two central ingredients in the proposal: in the case of non-relativistic quantum mechanics, individuality should be taken as a primitive notion and primitive individuality is naturalistically acceptable. We argue that, strictly understood, naturalism faces difficulties in helping to provide a theory with a unique princ…Read more
-
25Física e OntologiaDiscusiones Filosóficas 9 (12). 2008.objeto físicolas teorías físicas. En la medida en quela física se ocupa de los constitutivosesencial. A pesar de que la física actual node explicar por qué el mundo es comolas físicas
-
51A discussion on quantum non-individualityJournal of Applied Non-Classical Logics 22 (1-2): 105-124. 2012.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 to ask for a…Read more
-
106Some of the forerunners of quantum theory regarded the basic entities of such theories as 'non-individuals'. One of the problems is to treat collections of such 'things', for they do not obey the axioms of standard set theories like Zermelo- Fraenkel. In this paper, collections of objects to which the standard concept of identity does not apply are termed 'quasi-sets'. The motivation for such a theory, linked to what we call 'the Manin problem', is presented, so as its specific axioms. At the en…Read more
-
Quantum objects are vague objectsSorites 6 (1): 21--33. 1996.Is there vagueness in the world? This is the central question that we are concerned with. Focusing on identity statements around which much of the recent debate has centred, we argue that `vague identity' arises in quantum mechanics in one of two ways. First, quantum particles may be described as individuals, with `entangled' states understood in terms of non-supervenient relations. In this case, the vagueness is ontic but exists at the level of these relations which act as a kind of `veil'. Sec…Read more
-
30Sobre uma fundamentação não reflexiva da mecânica quânticaScientiae Studia 10 (1): 71-104. 2012.
-
27Paraconsistent logics are logics that can be used to base inconsistent but non-trivial systems. In paraconsistent set theories, we can quan- tify over sets that in standard set theories, if consistent, would lead to contradictions, such as the Russell set, R = fx : x =2 xg. Quasi-set theories are mathematical systems built for dealing with collections of indiscernible elements. The basic motivation for the development of quasi-set theories came from quantum physics, where indiscernible entities …Read more
-
110Uma Lógica da IndistinguibilidadeDisputatio 4 (34): 555-573. 2012.Arenhart_Krause_Uma-logica-da-indistinguibilidade
-
26Is Priscilla, the trapped positron, an individual? Quantum physics, the use of names, and individuationArbor 187 (747): 61-66. 2011.
-
27Indiscernibilidade e identidade em química: aspectos filosóficos e formaisManuscrito 37 (1): 113-160. 2014.
-
108In 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'.
-
71This 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 log…Read more
-
3616. On The Concept Of Identity In Zermelo-fraenkel-like Axioms And Its Relationships With Quantum StatisticsLogique Et Analyse 48. 2005.
-
23Indistinguibilidade, não reflexividade, ontologia e física quânticaScientiae Studia 10 (1): 41-69. 2012.
-
30Introdução aos fundamentos axiomáticos da ciênciaPrincipia: An International Journal of Epistemology 6 (2): 315-319. 2002.Review of the KRAUSE, Décio "Introdução aos Fundamentos Axiomáticos da Ciência" São Paulo EPU, 2002
-
90The problem of identity and a justification for a non-reflexive quantum mechanicsLogic Journal of the IGPL 22 (2): 186-205. 2014.In this paper we try to justify our way of looking for an alternative approach to quantum mechanics, which is based on a non-classical logic. We consider two specific questions related to quantum theory, namely, entanglement and the indiscernibility of quanta. We characterize individuals, and then explain in what sense entanglement is a concept which can be applied to individuals in a restricted sense only. Then, we turn to indiscernibility and, after realizing that this concept is of a fundamen…Read more
-
157Quantum vaguenessErkenntnis 59 (1). 2003.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.
-
22Brigitte Falkenburg, Editor, Between rationalism and empiricism. Selected Papers in the Philosophy of Physics; Erhard Scheibe, Springer, Berlin (2001) ISBN 0-387-98520-4 (627pp. Euro 88.76) (review)Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (1): 210-217. 2005.
-
18Questões a uma teoria de quase-objetosManuscrito 32 (2): 399-436. 2009.Discutimos algumas quest~oes relacionadas a uma possvel teoriade quase-objetos, isto e, objetos para os quais as condic~oes usuais de identidaden~ao se aplicariam. Desde que a principal motivac~ao para uma tal teoriae a mec^anica qu^antica, a discuss~ao e realizada tendo-se essa intepretac~ao pretendidaem mente.We discuss some questions related to a possible theory of quasiobjects,that is, objects for which the standard identity conditions should nothold. Since the main motivation for such a the…Read more
-
94Why Non-individuality? A Discussion on Individuality, Identity, and Cardinality in the Quantum ContextErkenntnis (1): 1-18. 2012.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 situat…Read more
-
118Logical aspects of quantum (non-)individualityFoundations of Science 15 (1): 79-94. 2010.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…Read more
-
35We 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 logi…Read more
-
Federal University of Santa CatarinaProfessor
University of São Paulo
Department of Philosophy, Languages and Literature, and Human Sciences
PhD, 1990
Florianópolis, Santa Catarina, Brazil
Areas of Specialization
Logic and Philosophy of Logic |
Philosophy of Physical Science |