We discuss the idea that superpositions in quantum mechanics may involve contradictions or contradictory properties. A state of superposition such as the one comprised in the famous Schrödinger’s cat, for instance, is sometimes said to attribute contradictory properties to the cat: being dead and alive at the same time. If that were the case, we would be facing a revolution in logic and science, since we would have one of our greatest scientific achievements showing that real contradictions exist.We analyze that (...) claim by employing the traditional square of opposition.We suggest that it is difficult to make sense of the idea of contradiction in the case of quantum superpositions. From a metaphysical point of view the suggestion also faces obstacles, and we present some of them. (shrink)

Following J.-Y.Béziau in his pioneer work on non-standard interpretations of the traditional square of opposition, we have applied the abstract structure of the square to study the relation of opposition between states in superposition in orthodox quantum mechanics in [1]. Our conclusion was that such states are contraries, contradicting previous analyzes that have led to different results, such as those claiming that those states represent contradictory properties. In this chapter we bring the issue once again into the center of the (...) stage, but now discussing the metaphysical presuppositions which underlie each kind of analysis and which lead to each kind of result, discussing in particular the idea that superpositions represent potential contradictions. We shall argue that the analysis according to which states in superposition are contrary rather than contradictory is still more plausible. (shrink)

In this paper we deal with two applications of the square of opposition to controversial issues in the philosophy of quantum mechanics. The first one concerns the kind of opposition represented by states in superposition. A superposition of “spin up” and “spin down” for a given spatial direction, for instance, is sometimes said to originate particular kinds of opposition such as contradictoriness. The second application concerns the problem of identical particles. Identity and indiscernibility are entangled in discussions of this problem (...) in such a way that a proper conceptual treatment of those issues through the square seems profitable. (shrink)

This chapter argues that the general philosophy of science should learn metaphilosophical lessons from the case of metaphysical underdetermination, as it occurs in non-relativistic quantum mechanics. Section presents the traditional discussion of metaphysical underdetermination regarding the individuality and non-individuality of quantum particles. Section discusses three reactions to it found in the literature: eliminativism about individuality; conservatism about individuality; eliminativism about objects. Section wraps it all up with metametaphysical considerations regarding the epistemology of metaphysics of science.

In this basically expository paper we discuss the role oflogic and mathematics in researches concerning the ontology of scientific theories, and we consider the particular case of quantum mechanics. We argue that systems of logic in general, and classical logic in particular, may contribute substantially with the ontology of any theory that has this logic in its base. In the case of quantum mechanics, however, from the point of view of philosophical discussions conceming identity and individuality, those contributions may not (...) be welcome for a specific interpretation, and an altemative system of logic perhaps could be used instead of a classical system. In this sense, we argue that the logic and ontology of a scientific theory may be seen as mutually inftuencing each other. On the one hand, logic contributes to shape the general features of the ontology of a theory; on the other hand, the theory also puts constraints on the possible understanding of ontology and, respectively, on possible systems of logic that may be the underlying logic ofthe theory. (shrink)

In this work, we focus on a very specific case study: assuming that quantum theories deal with “particles” of some kind, what kind of entity can such particles be? One possible answer, the one we shall examine here, is that they are not the usual kind of object found in daily life: individuals. Rather, we follow a suggestion by Erwin Schrödinger, according to which quantum mechanics poses a revolutionary kind of entity: non-individuals. While physics, as a scientific field, is not (...) concerned with whether entities posited by a specific physical theory are individuals or not, answering this question is part of the quest for a better understanding of physical reality. Here lies, in large measure, the relevance of ontology. (shrink)

This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book (...) describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science. (shrink)

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 (...) in the language of set theory itself or, more rigorously (da Costa and Chuaqui), by employing formal languages that help us in writing the postulates to define a class of structures. Both approaches are called internal , for we work within a mathematical framework, here taken to be first-order ZFC. We contrast these approaches with an external one, here discussed briefly. We argue that each one has its strong and weak points, whose discussion is relevant for the philosophical foundations of science. (shrink)

The notion of an individual and the related issues on individuation are topics that appear in the philosophical discussion ever since the antiquity. The idea of an individual thing is intuitively clear: an individual is something of a specific kind that is a unity, having its own identity, and being so that it is possible at least in principle to discern it from any other individual, even of similar species. But when we try to leave the intuitive realm and push (...) this idea to a logical analysis, we find a cluster of problems that are difficult to overcome within standard logico-mathematical contexts. In this work, we shall be concerned with some aspects of this intuitive concept of an individual and on some related facts about individuation taken from recent discussions that arose ever since the inception of quantum theory, pushing the discussion to a “logical” view, which in our opinion is still lacking in the usual debates on such issues. In the final part of the paper, we propose a metaphysics where the notion of identity is substituted, for some objects, by a weaker notion of indiscernibility, and we try to justify such a move. In most of the uses of the expression “quantum theory”, we shall not make explicit the distinction between the non-relativistic and the relativistic approaches, although they of course are quite different, for we think that the problems as we shall present them appear in both versions. But, as the text goes, the context will distinguish between them and these questions will become clear to the reader. (shrink)

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 (...) would hinder us from being in complete agreement with the ontological novelties the theories of quanta seem to advance. Thus, we join those who try to investigate a ‘logic of quantum mechanics’, but from a different point of view: looking for a formal foundation for a supposed new ontology. As a consequence of this move, we can revisit Einstein’s ideas on physical reality and propose that, by considering a new kind of object traditionally termed ‘non-individuals’, it is possible to sustain that they still obey some of Einstein’s conditions for ‘physical realities’, so that it will be possible to talk of a ‘principle of separability’ in a sense which is not in complete disagreement with quantum mechanics. So, Einstein’s departure from quantum mechanics might be softened at least concerning a form of his realism, which sees separated physical objects as distinct ‘physical realities’. (shrink)

In this paper we consider the phenomenon of superpositions in quantum mechanics and suggest a way to deal with the idea in a logical setting from a syntactical point of view, that is, as subsumed in the language of the formalism, and not semantically. We restrict the discussion to the propositional level only. Then, after presenting the motivations and a possible world semantics, the formalism is outlined and we also consider within this schema the claim that superpositions may involve contradictions, (...) as in the case of the Schrödinger's cat, which is both alive and dead. We argue that this claim is a misreading of the quantum case. Finally, we sketch a new form of quantum logic that involves three kinds of negations and present the relationships among them. The paper is a first approach to the subject, introducing some main guidelines to be developed by a `syntactical' logical approach to quantum superpositions. (shrink)

Nonreflexive quantum mechanics is a formulation of quantum theory based on a non- classical logic termed nonreflexive logic. In these logics, the standard notion of identity, as encapsulated in classical logic and set theories, does not hold in full. The basic aim of this kind of approach to quantum mechanics is to take seriously the claim made by some authors according to whom quantum particles are non-individuals in some sense, and also to take into account the fact that they may (...) be absolutely indistinguishable. The nonreflexive formulation of quantum theory assumes these features of the objects already at the level of the underlying logic, so that no use is required of symmetrization postulates or other mathematical devices that serve to pretend that the objects are indiscernible. Here, we present the ideas of the development of nonreflexive quantum mechanics and discuss some philosophical motivations and consequences of it. (shrink)

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, namely, that which sees them as non-individuals, then there would be (...) strong reasons to ask for a different mathematical framework for describing the structures that would be the models of the corresponding theory. In departing from the standard frameworks, we hope to bring to the scene, within the scope of the semantic approach, the importance of paying attention to some fundamental concepts usually only superficially touched by philosophers of science. (shrink)

The growing threat of terrorism has increased the importance of aviation security and the work of airport security officers (screeners). Nonetheless, airport security research has yet to focus on emotional exhaustion and job satisfaction as major determinants of screeners’ job performance. The present study bridges this research gap by applying the job demands–resources (JD−R) model and using work–family conflict (WFC) as an intervening variable to study relationships between work characteristics (workload and supervisor support), emotional exhaustion, and job satisfaction in 1,127 (...) screeners at a European airport. Results of structural equation modeling revealed that (a) supervisor support as a major job resource predicted job satisfaction among screeners; (b) workload as a major job demand predicted their emotional exhaustion; and (c) WFC proved to be a promising extension to the JD–R model that partially mediated the impact of supervisor support and workload on job satisfaction and emotional exhaustion. Theoretical and practical implications are discussed. (shrink)

The Metaphysics of Experience: Companion to Whitehead’s Process and Reality by Elizabeth M. Kraus develops very classical, Boethian, atemporal understanding of Whitehead’s God. Kraus contends that Whitehead intended “to infer that the divine actual world includes all actual worlds in unison of becoming” (p. 164). Her position is that even in his consequent nature, God coexists simultaneously and changelessly with the entire past, present, and future of every occasion in every world or cosmic epoch. Her rationale for this rests upon (...) 1. a highly questionable interpretation of one text in Process and Reality and the claims that 2. only such a view is compatible with human freedom, and 3. only such a view is compatible with human faith. This article argues that she is mistaken on all three counts. (shrink)

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 principle of individuation. We also hold that even when taken in (...) a loose sense, naturalism does not provide any sense in which one could hold that quantum mechanics endorses primitive individuality over non-individuality. Rather, we argue that non-individuality should be preferred based on the grounds that such a view fits better the claims of the theory. (shrink)

This book discusses the philosophical work of Décio Krause. Non-individuality, as a new metaphysical category, was thought to be strongly supported by quantum mechanics. No one did more to promote this idea than the Brazilian philosopher Décio Krause, whose works on the metaphysics and logic of non-individuality are now widely regarded as part of the consolidated literature on the subject. This volume brings together chapters elaborating on the ideas put forward and defended by Krause, developing them in (...) many different directions, commenting on aspects not completely developed so far, and, more importantly, critically addressing their current formulations and defenses by Krause himself. Given that Krause’s ideas do connect directly and indirectly with a wide array of subjects, such as the philosophy of quantum mechanics, more broadly understood, the philosophy of logic and logical philosophy, non-classical logics, metaphysics, and ontology, this volume contains important material for the research on logic and foundations of science, broadly understood. All the invited contributors have already worked with the ideas developed by Décio (some of them still work with them), being also distinct authors and extremely relevant in their areas of expertise. The volume is aimed at philosophers, including those of physics and quantum mechanics. (shrink)

Das Buch ist den vier ältesten illustrierten und mit Kommentarkatenen versehenen Hss. des Buches Hiob gewidmet, die zwischen dem 9. und dem 11. Jh. entstanden sind: Patmos, Johanneskloster, Cod. 171 (nachfolgend Patm.); Rom, Biblioteca Apostolica Vaticana, Cod. Vat. gr. 749 (Vat.); Sinai, Katharinenkloster, Cod. 3 (Sin.); Venedig, Biblioteca Nazionale Marciana, Cod. gr. 538 (Ven.). Insgesamt sind 15 illustrierte griechische Katenenhss. allein des Buches Hiob erhalten (siehe die Übersicht p. 9–11). Das in ihnen enthaltene Bildmaterial zu Hiob wird ergänzt durch Illustrationen (...) in weiteren Mss. unterschiedlichen Textinhalts (p. 11–14). Während seitens der Textkritik fundamentale Arbeit zur wissenschaftlichen Erschließung des griechischen Hiob-Textes und seiner Kommentare geleistet wurde, stellt das Buch von Bernabò (B.) die erste nennenswerte Publikation mit primär kunstwissenschaftlicher Ausrichtung dar. Rund 2000 (p. VII), überwiegend noch unpublizierte, byzantinische Miniaturen zum Buch Hiob sind überkommen, was erahnen läßt, welcher Schatz auf diesem Gebiet zukünftig noch zu heben ist. Ursprünglich war eine komplette Publikation der bebilderten Hiob-Mss. im Rahmen des Corpus of the Illustrations in the Manuscripts of the Septuagint der Universität Princeton geplant – ein Projekt, das vor allem wegen seines erheblichen Umfangs nicht hat realisiert werden können. Kurt Weitzmann hatte bis zu seinem Tod im Jahre 1993 Bildmaterial in großem Umfang zusammengetragen. Dieses konnte B. nicht nur für sein Buch verwenden, sondern löste mit selbigem gleichzeitig das seinem Lehrer noch zu Lebzeiten gegebene Versprechen ein, das gemeinsam begonnene Projekt nach dessen Tod fortzuführen (p. X–XI). Im Aufbau, wenngleich nicht in Seitenumfang und Buchformat, richtet sich die vorliegende Publikation nach den bereits er-schienenen Bänden des Princetoner Corpus. (shrink)

Mr. Kubat attributes much of the misinformation about Brentano's theories to the lack of an edition of Brentano's collected writing. If anyone should wish to know more about Brentano's doctrines, he may have been led by this remark to despair of finding them anywhere in print. The three works which Mr. Kubat mentions, Grundlegung und Aufbau der Ethik, Religion und Philosophie, and Die Lehre vom richtigen Urteil, all edited by F. Mayer-Hillebrand and published by A. Francke in Bern, represent no (...) more than a continuation of the Gesamtausgabe of Brentano's writings which was begun by Oskar Kraus and Alfred Kastil after Brentano's death. The volumes in the Gesamtausgabe represent ten numbers in Meiner's Philosophische Bibliothek and are listed under the heading, "Gesammelte philosophische Schriften." They contain not only new editions of much of the work which Brentano published during his lifetime, but a large amount of material which Kraus and Kastil selected from his enormous Nachlass as well. I am sure that Mrs. Mayer-Hillebrand herself would be the first to recognize that the three published volumes she has edited, and the one on esthetics which is soon to appear in print, are part of a whole which also includes the volumes edited by Kraus and Kastil. Taken altogether, the thirteen volumes that have been published by Meiner and by Francke can well be viewed as at least an adequate substitute for a collected edition. Surely they include everything which is necessary to dispel the common misinformation which Mr. Kubat tries to explain by denying their existence. The trouble has not been the lack of a collected edition, but the lack of readers. (shrink)

This fine new study amalgamates catalogue-type entries for a number of illustrated manuscripts of the homilies of John Chrysostom with a cogently written thesis. Only certain manuscripts have been chosen for full analysis (to this extent the title of the book is somewhat misleading): this is a study devoted primarily to the Chrysostom manuscripts of the 11th and 12th centuries that have some anthropomorphic figural illustration (as opposed to purely vegetal or zoomorphic illustration), with a special emphasis on miniatures which (...) are text-based, i. e. correspond in some precise way to the text they accompany. Earlier homily manuscripts (there are illustrated versions from the 10th century on), and manuscripts with full-page, non-text-based frontispiece illustrations such as the magnificent, oft-discussed imperial codex Paris, B. N. Coislin gr. 79, though included, are not the central concern of this book. Despite the fact that distinctions between anthropomorphic and non-anthropomorphic figural decoration, and between text-based and non-text based imagery are not likely ones that would have been drawn by the Byzantines themselves, the author's particular focus has the advantage of bringing into the scholarly arena a considerable number of unfamiliar works, here subjected to careful codicological, paleographical and stylistic analysis, and reproduced in superb color and black and white plates. (shrink)

Ever since its beginnings, standard quantum mechanics has been associated with a metaphysical view according to which the theory deals with non-individual objects, i.e., objects deprived of individuality in some sense of the term. We shall examine the grounds of the claim according to which quantum mechanics is so closely connected with a metaphysics of non-individuals. In particular, we discuss the attempts to learn the ‘metaphysical lessons’ required by quantum mechanics coming from four distinct roads: from the formalism of the (...) theory, treating separately the case of the physics and the underlying logic; from the ontology of the theory, understood as the furniture of the world according to the theory; and, at last, we analyze whether a metaphysics of non-individuals is indispensable from a purely metaphysical point of view. We argue that neither non-individuality nor individuality is to be found imposed on us in any of these levels so that it should be seen as a metaphysical addition to the theory, rather than as a lesson from it. (shrink)

Kraus’s book is both deep and wide-ranging. My comments focus on her account of Kant on self-awareness – both a priori and empirical apperception. Basic to her account is what she calls the hylomorphism of mental faculties in Kant. Kraus distinguishes her ‘reflexive’ account of apperception from both ‘logical’ and ‘psychological’ accounts. An inevitable question is: Does Kant think we have an empirical cognition of the self? Kraus seems to want to say yes, but I question this answer. Cognition requires (...) both intuition and conception. My claim is that it requires intuition in both space and time, but inner empirical self-awareness is apparently in time only. Kant’s Refutation of Idealism in B, as developed later in the Kiesewetter essays, makes awareness of our body essential to time determination. (shrink)

Kraus, O. Biographical sketch of Franz Brentano.--Stumpf, C. Reminiscences of Franz Brentano.--Husserl, E. Reminiscences of Franz Brentano.--Gilson, E. Brentano's interpretation of medieval philosophy.--Gilson, L. Franz Brentano on science and philosophy.--Titchener, E. B. Brentano and Wundt: empirical and experimental psychology.--Chisholm, R. M. Brentano's descriptive psychology.--De Boer, T. The descriptive method of Franz Brentano.--Spiegelberg, H. Intention and intentionality in the scholastics, Brentano and Husserl.--Marras, A. Scholastic roots of Brentano's conception of intentionality.--Chisholm, R. M. Intentional inexistence.--McAlister, L. L. Chisholm and Brentano on intentionality.--Chisholm, (...) R. M. Brentano's theory of correct and incorrect emotion.--Moore, G. E. Review of Franz Brentano's The origin of the knowledge of right and wrong.--Franks, G. Was G. E. Moore mistaken about Brentano?--Kotarbinski, T. Franz Brentano as reist.--Terrell, D.B. Brentano's argument for reismus.--Bergman, H. Brentano's theory of induction.--Kraus, O. Toward a phenomenognosy of time consciousness. (shrink)

We demonstrate that the quantum-mechanical description of composite physical systems of an arbitrary number of similar fermions in all their admissible states, mixed or pure, for all finite-dimensional Hilbert spaces, is not in conflict with Leibniz's Principle of the Identity of Indiscernibles (PII). We discern the fermions by means of physically meaningful, permutation-invariant categorical relations, i.e. relations independent of the quantum-mechanical probabilities. If, indeed, probabilistic relations are permitted as well, we argue that similar bosons can also be discerned in all (...) their admissible states; but their categorical discernibility turns out to be a state-dependent matter. In all demonstrated cases of discernibility, the fermions and the bosons are discerned (i) with only minimal assumptions on the interpretation of quantum mechanics; (ii) without appealing to metaphysical notions, such as Scotusian haecceitas, Lockean substrata, Postian transcendental individuality or Adamsian primitive thisness; and (iii) without revising the general framework of classical elementary predicate logic and standard set theory, thus without revising standard mathematics. This confutes: (a) the currently dominant view that, provided (i) and (ii), the quantum-mechanical description of such composite physical systems always conflicts with PII; and (b) that if PII can be saved at all, the only way to do it is by adopting one or other of the thick metaphysical notions mentioned above. Among the most general and influential arguments for the currently dominant view are those due to Schrodinger, Margenau, Cortes, Dalla Chiara, Di Francia, Redhead, French, Teller, Butterfield, Giuntini, Mittelstaedt, Castellani, Krause and Huggett. We review them succinctly and critically as well as related arguments by van Fraassen and Massimi. (shrink)

We critically examine the claim that identity is a fundamental concept. According to those putting forward this thesis, there are four related reasons that can be called upon to ground the fundamental character of identity: identity is presupposed in every conceptual system; identity is required to characterize individuality; identity cannot be defined; the intelligibility of quantification requires identity. We address each of these points and argue that none of them advances compelling reasons to hold that identity is fundamental; in fact, (...) most of the tasks that seem to require identity may be performed without identity. So, in the end, identity may not be a fundamental concept after all. (shrink)

A recent surge of research has begun to examine music participation and well-being; however, a particular challenge with this work concerns theorizing around the associated well-being benefits of musical participation. Thus, the current research used Self-Determination Theory to consider the potential associations between basic psychological needs (competence, relatedness, and autonomy), self-determined autonomous motivation, and the perceived benefits to well-being controlling for demographic variables and the musical activity parameters. A sample of 192 Australian residents (17-85, Mage = 36.95), who were currently (...) participating in a musical activity at the time, completed an online questionnaire. Results indicated that females were more likely to perceive benefits to their well-being; and that how important an individual considers music in their life was positively related to perceived well-being. Importantly, the analyses also revealed that the basic needs of competency and relatedness were related to overall perceived well-being as well as specifically social, cognitive, and esteem dimensions of well-being. Autonomous motivation demonstrated significant associations with both an overall well-being score as well as four of five specific well-being subscales measured. Collectively, the findings indicate that Self-Determination Theory offers a useful theoretical framework to understanding the relationship between musical participation and well-being. Further, the pattern of findings reiterates the positive associations between musical participation and one’s psychosocial well-being, with broad implications for people involved in the facilitation of musical activity. (shrink)

Contents: Part I. Probability and the Idealizational Theory of Science. Marek GAUL: Statistical dependencies, statements and the idealizational theory of science. Part II. Probability - theoretical concepts in psychology - measurement. Douglas WAHLSTEN: Probability and the understanding of individual differences. Bodo KRAUSE: Modeling cognitive learning steps. Dieter HEYER, and Rainer MAUSFELD: A theoretical and experimental inquiry into the relation of theoretical concepts and probabilistic measurement scales in experimental psychology. Part III. Methods of data analysis. Tadeusz B. IWINSKI: Rough set (...) methods in psychology. Wilma KOUTSTAAL, and Robert ROSENTHAL: Contrast analysi in behavioral research. Part IV. Artifacts in psychological research and diagnostic assessment. David B. STROHMETZ, and Ralph L. ROSNOW: A mediational model of research artifacts. Jerzy BRZEZINSKI: Dimensions of diagnostic space. (shrink)

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 (...) a reasonable interpretation of quantum basic entities. I close the paper with a suggestion that consists in emphasizing that quanta should be referred to by the cardinalities of the collections to which they belong, for which an adequate mathematical framework seems to be possible. (shrink)