The idea of a 'logic of quantum mechanics' or quantum logic was originally suggested by Birkhoff and von Neumann in their pioneering paper [1936]. Since that time there has been much argument about whether, or in what sense, quantum 'logic' can be actually considered a true logic (see, e.g. Bell and Hallett [1982], Dummett [1976], Gardner [1971]) and, if so, how it is to be distinguished from classical logic. In this paper I put forward a simple and natural semantical (...) framework for quantum logic which reveals its difference from classical logic in a strikingly intuitive way, viz. through the fact that quantum logic admits (suitably formulated versions of) the characteristic quantum-mechanical notions of superposition and incompatibility of attributes. That is, precisely the features that distinguish quantum from classical physics also serve, within this framework, to distinguish quantum from classical logic. Some light is shed on the question of whether quantum logic is a genuine logical system by introducing a natural entailment relation for quantum-logical formulas with the implication symbol. The novelty is that, although implication behaves as it should (i.e. the 'deduction theorem' holds), the order of introduction of premises is significant. The fact that a reasonable entailment relation can be formulated for quantum logic supports the view that it is a genuine logical system and not merely an algebraic formalism. (shrink)
This article revisits and further develops Mitchell et al.’s (Acad Manag Rev 22(4):853–886, 1997 ) theory of stakeholder identification and salience. Stakeholder salience holds considerable unrealized potential for understanding how organizations may best manage multiple stakeholder relationships. While the salience framework has been cited numerous times, attempts to develop it further have been relatively limited. We begin by reviewing the key contributions of other researchers. We then identify and seek to resolve three residual weaknesses in Mitchell et al.’s ( 1997 (...) ) framework, thereby strengthening its foundations for further development. We argue, first, that urgency is not relevant for identifying stakeholders; second, that it is primarily the moral legitimacy of the stakeholder’s claim that applies to stakeholder salience; and last, that the salience of stakeholders will vary as the degrees of the attributes vary. These insights inform revised definitions of stakeholder salience and legitimacy, and necessitate a new theoretical underpinning for the role of legitimacy. Finally, we present an extensive agenda for future research with the objective of refueling research in stakeholder salience. (shrink)
Consider the following well-known result from the theory of normed linear spaces ([2], p. 80, 4(b)): (g) the unit ball of the (continuous) dual of a normed linear space over the reals has an extreme point. The standard proof of (~) uses the axiom of choice (AG); thus the implication AC~(w) can be proved in set theory. In this paper we show that this implication can be reversed, so that (*) is actually eq7I2valent to the axiom of choice. From this (...) we derive various corollaries, for example: the conjunction of the Boolean prime ideal theorem and the Krein-Milman theorem implies the axiom of choice, and the Krein-Milman theorem is not derivable from the Boolean prime ideal theorem. (shrink)
Much philosophical attention has been devoted to “The Land Ethic,” especially by Anglo-American philosophers, but little has been paid to A Sand County Almanac as a whole. Read through the lens of continental philosophy, A Sand County Almanac promulgates an evolutionary-ecological world view and effects a personal self- and a species-specific Self-transformation in its audience. It’s author, Aldo Leopold, realizes these aims through descriptive reflection that has something in common with phenomenology-although Leopold was by no stretch of the imagination a (...) phenomenologist. Consideration of human-animal intersubjectivity, thematized in A Sand County Almanac, brings to light the moral problem of hunting and killing animal subjects. Leopold does not confront that problem, but it is confronted and resolved by Jose Ortega y Gassett, Henry Beston, and Paul Shepard in terms of an appropriate human relationship with wild-animal Others. Comparison with the genuinely Other-based Leopold-Ortega-Beston-Shepard wild-animal ethic shows the purportedly Other-based humanand possibly animal ethic of Emmanuel Levinas actually to be Same-based after all. (shrink)
Open Secrets reflects on contemporary humanistic pedagogy by examining the limits of the teachable in this domain. The Goethean motif of the open secret refers not to a revealed mystery but to an utterance that is not understood, the likely fate of any instruction based purely on authority. Revisiting the European Bildungsroman, it studies the pedagogical relationship from the point of view of the tutor or mentor figure rather than with the usual focus on the young hero. The argument is (...) not confined to works of fiction, however, but examines texts in which the category of fiction has a crucial and constitutive function, for a growing awareness of limited authority on the part of the mentor figures is closely related to fictive self-consciousness in the texts. Rousseau's Emile, as a semi-novelised treatise, whose fictiveness is at once overt and yet unmarked, is relatively unaware of the imaginary nature of its envisaged authority. Passing through Laurence Sterne, C. M. Wieland, Goethe and Nietzsche, the situation is gradually reversed, culminating with the conscious impasse of authority in Thus Spoke Zarathustra. All these writers have achieved their pedagogical impact despite, indeed by means of, their internal scepticism. By contrast, in the three subsequent writers, D. H. Lawrence, F. R. Leavis and J. M. Coetzee, the impasse of pedagogical authority becomes more literal as the authority of Bildung is eroded in the wider culture. The awareness of pedagogical authority as a species of fiction, to be conducted in an aesthetic spirit, remains a significant prophylactic against the perennial pressure of reductive conceptions of the education as form of instructional 'production'. (shrink)
A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.
This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our (...) current understanding of the profound nature of quantum concepts. First edition Hb (1987): 0-521-33495-0 First edition Pb (1988): 0-521-36869-3. (shrink)
A structure is a triple A = (A, {Ri: i ∈ I}, {ej: j ∈ J}), where A, the domain or universe of A, is a nonempty set, {Ri: i ∈ I} is an indexed family of relations on A and {ej: j ∈ J}) is an indexed set of elements —the designated elements of A. For each i ∈ I there is then a natural number λ(i) —the degree of Ri —such that Ri is a λ(i)-place relation on A, (...) i.e., Ri ⊆ Aλ(i). This λ may be regarded as a function from I to the set ω of natural numbers; the pair (λ, J) is called the type of A. Structures of the same type are said to be similar. Note that since an n-place operation f: An → A can be regarded as an (n+1)-place relation on A, algebraic structures containing operations such as groups, rings, vector spaces, etc. may be construed as structures in the above sense. (shrink)
In this paper (a sequel to [4]) I put forward a "local" interpretation of mathematical concepts based on notions derived from category theory. The fundamental idea is to abandon the unique absolute universe of sets central to the orthodox set-theoretic account of the foundations of mathematics, replacing it by a plurality of local mathematical frameworks - elementary toposes - defined in category-theoretic terms.
Continuous as the stars that shine And twinkle on the milky way, They stretched in never-ending line Along the margin of a bay: Ten thousand saw I at a glance, Tossing their heads in sprightly dance.
Despite an abundance of research on inter-organizational trust, researchers are only beginning to understand the process of trust deterioration as an inter-organizational phenomenon. This paper presents a case study examining the deteriorating relationship between two international high-tech firms. We surveyed respondents from the supplier firm to identify major elements that reduced the supplier's trust in its customer, using the dimensions of trust identified by Mayer et al. (1995). While violations of ability, integrity, and benevolence all contributed to trust reduction, early (...) violations of trustee benevolence contributed importantly to trust deterioration. Over time, the relationship became "sensitive," and respondents reported many incidents of trust violation. Managers reported primarily integrity- and benevolence-related incidents, while no pattern emerged among operations personnel. We examine the results in light of Hosmer's (1995) ethically-based trust principles. The supplier and customer would likely differ in their opinion of whether the customer was acting "ethically." This suggests that scholars need to examine how many principles can be violated before trust is eliminated, and whether any of the principles are particularly salient in business relationships. (shrink)
We analyze Zorn's Lemma and some of its consequences for Boolean algebras in a constructive setting. We show that Zorn's Lemma is persistent in the sense that, if it holds in the underlying set theory, in a properly stated form it continues to hold in all intuitionistic type theories of a certain natural kind. (Observe that the axiom of choice cannot be persistent in this sense since it implies the law of excluded middle.) We also establish the persistence of some (...) familiar results in the theory of (complete) Boolean algebras--notably, the proposition that every complete Boolean algebra is an absolute subretract. This (almost) resolves a question of Banaschewski and Bhutani as to whether the Sikorski extension theorem for Boolean algebras is persistent. (shrink)
This article explores the hypothesis that third parties are motivated to seek information about agents who have behaved unethically in the past, even if the agent and available information are irrelevant to the third parties’ goals and interests. We explored two possible motives for this information seeking behavior: deonance, or the motive to care about ethics and justice simply for the sake of ethics and justice, and distrust-based threat monitoring. Participants in a consumer decision task were found to seek out (...) information about an agent who had behaved unethically even when the agent was explicitly excluded from the task; there were no intentions to purchase from the agent; performance expectations for the agent’s product were low; the information that could be sought was non-diagnostic, redundant or irrelevant to an ethical judgment; and alternatives in the market offered as good or better value as the unethical agent. Critically, this information seeking took place even when the observer could disengage from and was not vulnerable to the agent. The findings are discussed in terms of third party information seeking and its effects on ethical behavior in the marketplace. (shrink)
Previous research has demonstrated electroencephalogram (EEG) changes in response to low-odor concentrations, resulting in near-chance detection. Such findings have been taken as evidence for olfaction without awareness. We replicated and extended previous work by examining EEG responses to water-water control, 0.0001, 0.001, 0.01, and 1 ppm isoamyl acetate (IAA) in water paired with water only. Detection was above chance (>50%) for .001 and above, and alpha decreased only to those concentrations, suggesting that EEG changes corresponded to IAA awareness. However, when (...) correct trial EEGs were compared to incorrect trial EEGs during .001 ppm, right posterior/central alpha decreased during incorrect trials and alpha decreased more globally (including frontal sites) during correct trials. These data may not reflect awareness or unawareness per se. Instead, results are discussed regarding activation of perceptual systems in the posterior region during incorrect trials and the activation of frontal action systems during a subset of correct trials. (shrink)
Abstract: Groups of twenty children, aged between 6 years, 7 months and 11 years, 3 months, attending either a traditional Catholic school or a Freinet school were compared on judgments involving moral concepts. Subjects in the two groups were matched for age, IQ, sex, school grade, religious affiliation, fathers? occupational level, number of siblings and birth order. Moral conflict stories differed in the presence or absence of authority figures and peers, and were set either in the home or the school. (...) Children attending the Freinet school exhibited the more advanced moral judgments for all stories combined. Stories involving peers only elicited more mature judgments than those involving authority figures. Freinet schools encourage democratic group self?discipline and provide many and varied role?taking opportunities. The results suggest that such practices accelerate moral development. (shrink)
Discussion of J. Kevin O’Regan’s “Why Red Doesn’t Sound Like a Bell: Understanding the Feel of Consciousness” Content Type Journal Article Pages 1-20 DOI 10.1007/s13164-012-0090-7 Authors J. Kevin O’Regan, Laboratoire Psychologie de la Perception, CNRS - Université Paris Descartes, Centre Biomédical des Saints Pères, 45 rue des Sts Pères, 75270 Paris cedex 06, France Ned Block, Departments of Philosophy, Psychology and Center for Neural Science, New York University, 5 Washington Place, New York, NY 10003, USA Journal Review of Philosophy (...) and Psychology Online ISSN 1878-5166 Print ISSN 1878-5158. (shrink)
The catastrophe of the eye -- A new view of seeing -- Applying the new view of seeing -- The illusion of seeing everything -- Some contentious points -- Towards consciousness -- Types of consciousness -- Phenomenal consciousness, raw feel, and why they're hard -- Squeeze a sponge, drive a porsche : a sensorimotor account of feel -- Consciously experiencing a feel -- The sensorimotor approach to color -- Sensory substitution -- The localization of touch -- The phenomenality plot -- (...) Consciousness. (shrink)
It is common in the literature on electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies for Maxwell's electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is (RP) a true (...) law of nature for electrodynamical phenomena? (2) Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from (RP), true? (3) Is (RP) consistent with the laws of electrodynamics in one single inertial frame of reference? (4) Are, at least, the derived transformation rules consistent with the laws of electrodynamics in one single frame of reference? Obviously, (1) and (2) are empirical questions. In this paper, we will investigate problems (3) and (4). First we will give a general mathematical formulation of (RP). In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”---according to which the laws of physics in any one reference frame account for all physical phenomena---we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the coupled Maxwell--Lorentz equations, and that the covariance is indeed satisfied. As to problem (3), the situation is much more complex. As we will see, the relativity principle is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects. This raises conceptual problems concerning the meaning of the notion “the same system in a collective motion”. In case of electrodynamics, there seems no satisfactory solution to this conceptual problem; thus, contrary to the widespread views, the question we asked in the title has no obvious answer. (shrink)
In the mid-nineteenth century George Boole formulated his ‘conditions of possible experience’. These are equations and ineqaulities that the relative frequencies of (logically connected) events must satisfy. Some of Boole's conditions have been rediscovered in more recent years by physicists, including Bell inequalities, Clauser Horne inequalities, and many others. In this paper, the nature of Boole's conditions and their relation to propositional logic is explained, and the puzzle associated with their violation by quantum frequencies is investigated in relation to (...) a variety of approaches to the interpretation of quantum mechanics. * While preparing this paper for publication I have learnt of the untimely death of Professor J. S. Bell, and I wish to dedicate the paper to his memory. This research was undertaken while I spent a sabbatical leave at Wolfson College, and the History and Philosophy of Science Department at the University of Cambridge. I would like to thank Michael Redhead and Jeremy Butterfield for their hospitality and for helpful discussions. A first draft of this paper has been distributed among the participants of the conference 'Einstein in Context' which was held in Israel, in April 1990.1 have benefited from the comments of many colleagues. I would like to thank in particular Arthur Fine who enlightened me on the prism models, David Albert. Maya Bar-Hillel. Yemima Ben-Menachem, Mara Beller. Simon Saunders, and Mark Steiner. This research is partially supported by the Edelstein Center for the History and Philosophy of Science at the Hebrew University. (shrink)
It is common in the literature on classical electrodynamics (ED) and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies to Maxwell’s electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is the (...) RP a true law of nature for electrodynamical phenomena? (2) Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from the RP, true? (3) Is the RP consistent with the laws of ED in a single inertial frame of reference? (4) Are, at least, the derived transformation rules consistent with the laws of ED in a single frame of reference? Obviously, (1) and (2) are empirical questions. In this paper, we will investigate problems (3) and (4). First we will give a general mathematical formulation of the RP. In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”—according to which the laws of physics in any one reference frame account for all physical phenomena— we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the equations of ED, and that the covariance is indeed satisfied. As to problem (3), the situation is much more complex. As we will see, the RP is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects. This raises conceptual problems concerning the meaning of the notion “the same system in a collective motion”.. (shrink)
It is common in the literature on electrodynamics and relativity theory that the transformation rules for the basic electrodynamical quantities are derived from the hypothesis that the relativity principle (RP) applies for Maxwell’s electrodynamics. As it will turn out from our analysis, these derivations raise several problems, and certain steps are logically questionable. This is, however, not our main concern in this paper. Even if these derivations were completely correct, they leave open the following questions: (1) Is (RP) a true (...) law of nature for electrodynamical phenomena? (2) Are, at least, the transformation rules of the fundamental electrodynamical quantities, derived from (RP), true? (3) Is (RP) consistent with the laws of electrodynamics in one single inertial frame of reference? (4) Are, at least, the derived transformation rules consistent with the laws of electrodynamics in one single frame of reference? Obviously, (1) and (2) are empirical questions. In this paper, we will investigate problems (3) and (4). First we will give a general mathematical formulation of (RP). In the second part, we will deal with the operational definitions of the fundamental electrodynamical quantities. As we will see, these semantic issues are not as trivial as one might think. In the third part of the paper, applying what J. S. Bell calls “Lorentzian pedagogy”—according to which the laws of physics in any one reference frame account for all physical phenomena— we will show that the transformation rules of the electrodynamical quantities are identical with the ones obtained by presuming the covariance of the coupled Maxwell–Lorentz equations, and that the covariance is indeed satisfied. As to problem (3), the situation is much more complex. As we will see, the relativity principle is actually not a matter of the covariance of the physical equations, but it is a matter of the details of the solutions of the equations, which describe the behavior of moving objects.. (shrink)
EPR-like phenomena are (presumably) indeterministic, but they furthermore suggest that our world involves seeming-strange ``funny business.'' Without invoking any heavy mathematics, the theory of branching space-times offers two apparently quite different ways in which EPR-like funny business goes beyond simple indeterminism. (1) The first is a modal version of a Bell-like correlation: There exist two space-like separated indeterministic initial events whose families of outcomes are nevertheless modally correlated. That is, although the occurrence of each outcome of each of the (...) two space-like separated initial events is separately possible, some joint occurrence of their outcomes (one from each) is impossible. (2) The second sounds like superluminal causation: A certain initial event can bear a cause-like relation to a certain without being in the causal past of that outcome. The two accounts of EPR-like funny business are proved equivalent, a result that supports the claim of each as useful to mark the line between mere indeterminism and EPR-like funny business. This is a ``postprint'' based on the version published in Non-locality and modality, T. Placek and J. Butterfield eds., Kluwer Academic Publishers, Dordrecht, 2002, pp. 293--315. The archive at http://philsci-archive.pitt.edu contains two recent related articles by the author, ``No-common-cause EPR-like funny business in branching space-times'' (2002) and ``A theory of causation: causae causantes (originating causes) as inus conditions in branching space-times'' (2002). (shrink)
Recently theorists have demonstrated a growing interest in the ethical aspects of resource allocation in international non-governmental humanitarian, development and human rights organizations (INGOs). This article provides an analysis of Thomas Pogge's proposal for how international human rights organizations ought to choose which projects to fund. Pogge's allocation principle states that ?an INGO should govern its decision making about candidate projects by such rules and procedures as are expected to maximize its long-run cost-effectiveness, defined as the expected aggregate moral value (...) of the projects it undertakes divided by the expected aggregate cost of these projects? (2007. Moral priorities for international human rights NGOs. In Ethics in action, ed. D. Bell and J. Coicaud, 218?56. Cambridge: Cambridge University Press, 241). I critique Pogge's argument on two fronts: (1) I demonstrate that his view is problematic on his own terms, even if we accept the cost-effectiveness framework he employs. (2) I take issue with his overall approach because it generates results which can undermine the integrity of INGOs. Further, his approach mis-characterizes the nature of INGOs, and this mistake is at the root of his problematic view of INGO priority-setting. Ultimately, I argue for a conception of INGOs in which they are understood as ?organizations of principle?, in the sense that they are independent moral agents and so should be permitted a fairly wide sphere of autonomy within reasonable moral constraints. (shrink)
We prove a uniqueness theorem showing that, subject to certain natural constraints, all 'no collapse' interpretations of quantum mechanics can be uniquely characterized and reduced to the choice of a particular preferred observable as determine (definite, sharp). We show how certain versions of the modal interpretation, Bohm's 'causal' interpretation, Bohr's complementarity interpretation, and the orthodox (Dirac-von Neumann) interpretation without the projection postulate can be recovered from the theorem. Bohr's complementarity and Einstein's realism appear as two quite different proposals for selecting (...) the preferred determinate observable--either settled pragmatically by what we choose to observe, or fixed once and for all, as the Einsteinian realist would require, in which case the preferred observable is a 'beable' in Bell's sense, as in Bohm's interpretation (where the preferred observable is position in configuration space). (shrink)
In this paper and its sequel, I consider the significance of Jarrett's and Shimony's analyses of the so-called factorisability (Bell-locality) condition for clarifying the nature of quantum non-locality. In this paper, I focus on four types of non-locality: superluminal signalling, <span class='Hi'>action</span>-at-a-distance, non-separability and holism. In the second paper, I consider a fifth type of non-locality: superluminal causation according to 'logically weak' concepts of causation, where causal dependence requires neither <span class='Hi'>action</span> nor signalling. In this connection, I pay special (...) attention to the difficulties that superluminal causation raises in relativistic space-time. I conclude by evaluating the relevance of Jarrett's and Shimony's analyses for clarifying the question of the compatibility of quantum non-locality with relativity theory. My main conclusions are, first: these analyses are significant for clarifying the questions of superluminal signalling in quantum phenomena and for the compatibility of these phenomena with relativity. But, second, by contrast: these analyses are not very significant for the study of <span class='Hi'>action</span>-at-a distance, superluminal causation, non-separability and holism in quantum phenomena. (shrink)
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I analyze a number of the quantum no-signalling proofs (Ghirardi et al. 1980, Bussey 1982, Jordan 1983, Shimony 1985, Redhead 1987, Eberhard and Ross 1989, Sherer and Busch 1993). These purport to show that the EPR correlations cannot be exploited for transmitting signals, i.e., are not causal. First, I show that these proofs can be mathematically unified; they are disguised versions of a single theorem. Second, I argue that these proofs are circular. The essential theorem relies upon the tensor product (...) representation for combined systems, which has no physical basis in the von Neumann axioms. Historically, the construction of this representation scheme by von Neumann and Weyl built no-signalling assumptions into the quantum theory. Signalling between the wings of the EPR-Bell experiments is unlikely but is not ruled out empirically by the class of proofs considered. (shrink)
