We point out that, when the dimension of the Hilbert space is greater than two, Bell’s operators entering the Bell-CHSH inequality do exhibit inequivalent unitary matrix representations. Although the Bell-CHSH inequality turns out to be violated, the size of the violation is different for different representations, the maximum violation being given by Tsirelson’s bound. The feature relies on a pairing mechanism between the modes of the Hilbert space of the system.

Instead of the usual asymptotic passage from quantum mechanics to classical mechanics when a parameter tended to infinity, a sharp boundary is obtained for the domain of existence of classical reality. The last is treated as separable empirical reality following d'Espagnat, described by a mathematical superstructure over quantum dynamics for the universal wave function. Being empirical, this reality is constructed in terms of both fundamental notions and characteristics of observers. It is presupposed that considered observers perceive the world as a (...) system of collective degrees of freedom that are inherently dissipative because of interaction with thermal degrees of freedom. Relevant problems of foundation of statistical physics are considered. A feasible example is given of a macroscopic system not admitting such classical reality.The article contains a concise survey of some relevant domains: quantum and classical Bell-type inequalities; universal wave function; approaches to quantum description of macroscopic world, with emphasis on dissipation; spontaneous reduction models; experimental tests of the universal validity of the quantum theory. (shrink)

The principle of 'information causality' can be used to derive an upper bound---known as the 'Tsirelson bound'---on the strength of quantum mechanical correlations, and has been conjectured to be a foundational principle of nature. In this paper, however, I argue that the principle has not to date been sufficiently motivated to play this role; the motivations that have so far been given are either unsatisfactorily vague or else amount to little more than an appeal to intuition. I then (...) consider how one might begin to successfully motivate the principle. I argue that a compelling way of so doing is to understand it as a generalisation of Einstein's principle of the mutually independent existence---the 'being-thus'---of spatially distant things, interpreted as a special methodological principle. More specifically: I describe an argument, due to Demopoulos, to the effect that the quantum-mechanical no-signalling condition can be viewed as a generalisation, appropriate to an irreducibly statistical theory such as quantum mechanics, of the Einsteinian principle. And I then argue that a compelling way to motivate information causality is to in turn consider it as a further generalisation of the Einsteinian principle that is appropriate to a theory of communication. I nevertheless describe important obstacles that must yet be overcome if the project of establishing information causality as a foundational principle of nature is to succeed. (shrink)

Local hidden-variable model of singlet-state correlations discussed in Czachor (Acta Phys Polon A 139:70, 2021a) is shown to be a particular case of an infinite hierarchy of local hidden-variable models based on an infinite hierarchy of calculi. Violation of Bell-type inequalities can be interpreted as a ‘confusion of languages’ problem, a result of mixing different but neighboring levels of the hierarchy. Mixing of non-neighboring levels results in violations beyond the Tsirelson bounds.

In this paper I draw from Martin Heidegger’s phenomenology of the 1920s to outline some basic features of his theory of intentionality that I believe have not been fully appreciated or utilized, and that allow for both novel and fruitful interventions in questions about meaning, the relationship between mind and the world, and epistemic justification, principally as they appear in John McDowell’s synoptic project in Mind and World. I argue that while elements of McDowell’s picture are ultimately unsatisfying and problematic, (...) much of his conceptual framework can and should be put into dialogue with Heidegger’s, and that in so doing we make available powerful resources for amending the McDowellian account. Moreover, these emendations have attractive implications for his distinctive desiderata. In particular, they provide original conceptions of normativity’s place in nature, of the boundaries of the space of reasons, and of the relationship between the answerability of thought both to the world and to human beings as a rational community. (shrink)

Many contemporary scholars argue that Schelling’s version of intellectual intuition retains certain central features of the Kantian and Fichtean conceptions. One of the common claims is that, as with Kant and Fichte, Schelling’s intellectual intuition is the power of the subject’s productive understanding. However, we show that for the Schelling of the Identitätsphilosophie period, intellectual intuition is the power not of an understanding that intuits, or a productive intellect, but of a receptive and penetrating sensibility that understands.

Sustainability problems often seem intractable. One reason for this is due to difficulties coordinating actors’ efforts to address socially responsible outcomes. Drawing on theories of bounded ethicality and incorporating work on communicating shared values in coordinating action this paper outlines the lack coordination as a matching issue, one complicated by underlying heterogeneity in actors’ moral values and thus motivation to address socially responsible outcomes. Three factors contribute to this matching problem. First, we argue it is not actors’ simple cognitive awareness, (...) but their moral awareness of social issues that explains why certain actors move to address problems while others do not. In other words, actors may recognize sustainability problems, but are not motivated to solve them as they are not understood as moral problems. Second, we posit that progress requires alignment in issues that some actors find worth addressing whereas others do not, thus explaining how heterogeneity in moral perceptions interrupt coordination towards socially important goals. Finally, we propose that progress is undermined if actors myopically focus on level-specific outcomes in ways that elucidates why institutional responses often fail to address individual outcomes and vice versa. We use the existing literature on the socially important issue of food waste to examine our theoretical contribution and develop a typology that explains conditions that inhibit coordination. Thus, our work proposes a psycho-structural view on matching and coordination toward sustainable outcomes, highlighting how psychological and structural constraints prevent effective coordination in addressing sustainability goals. (shrink)

This essay explores small “ordinary” experiences of moral harm as problems of social injustice. Starting with two stories, we first argue against a dominant framework of personal responsibility that assigns responsibility to particular blameworthy agents. Instead we sketch an account of why structural responsibility for social harm must be considered, drawing on the work of Iris Marion Young and Pierre Bourdieu. Finally, drawing on Margaret Walker’s notion of moral repair and Christopher Marshall’s interpretation of the parable of the Good Samaritan, (...) we sketch an account of Christian moral responsibility grounded in restorative justice that seeks to address daily experiences of moral harm through the moral repair work of neighbor-love. (shrink)

Plato’s dialogue Cratylus focuses on being and human dependence on words, or the essential truths about the human condition. Arguing that comedy is an essential part of Plato's concept of language, S. Montgomery Ewegen asserts that understanding the comedic is key to an understanding of Plato's deeper philosophical intentions. Ewegen shows how Plato’s view of language is bound to comedy through words and how, for Plato, philosophy has much in common with playfulness and the ridiculous. By tying words, language, (...) and our often uneasy relationship with them to comedy, Ewegen frames a new reading of this notable Platonic dialogue. (shrink)

We considered peculiarities of the evolution of a region with sharp boundaries that is filled with a partially ionized plasma and is a part of the volume of a condensed target. The creation of such a region in the near-surface layer of the target can be related to the action of an external impulse symmetric ionizator or to the action of an intense small-extension shock wave on the target surface. We defined the conditions such that their fulfilment during the establishment (...) of the equilibrium between the Coulomb attraction of electrons and ions with atom ionization multiplicity Z* 1 and the kinetic pressure of electrons causes both the compression of this region and its ionization to the state with Z* 2 > Z* 1. The last leads to a further additional compression and ionization. Under these conditions, the spontaneous avalanche-like ionization of atoms of the target to the state of ‘‘bare’’ nuclei occurs synchronously with the avalanche-like metallization and the self-compression of the target. We showed that the avalanche-like ionization and the self-compression of the target happen in the case where the gas of degenerate electrons has drift momentum. If the region with initial ionization has the form of thin spherical layer, the process of avalanche-like ionization and self-compression of the target in this region is accompanied by the accelerated movement of the plasma layer to the target center. One of the reasons for the accelerated movement is the surface tension in a bounded domain of the nonequilibrium plasma layer neutralized by ions of the target. With increase in the velocity of movement of this layer to the target center, the additional self-compression of the system of electrons and nuclei to the state of degenerate electron gas occurs. At the leading edge of the running layer with extremely high electron density which is neutralized by nuclei of the target, the formation of a collapse of the electron--nucleus system proceeds, and the binding energy maximum for the electron--nucleus system shifts from A≈60 to A ≫ 60. This result makes possible the fast synthesis of superheavy nuclei. The decay of the collapse state, a partial restoration of the target structure, its rapid cooling, and the condensation of a part of the products of nuclear reactions happen in the target volume at the trailing edge of the moving plasma layer. Upon such a scanning propagation of the wave with high electron density, all the target substance is involved, step-by-step, to the process of nuclear transformations. At the target center, the moving plasma layer is squeezed with the formation of the state of quasistationary collapse under inertial confinement. Then the collapse state decays irreversibly. (shrink)

This paper contributes to the generalization of lattice-valued models of set theory to non-classical contexts. First, we show that there are infinitely many complete bounded distributive lattices, which are neither Boolean nor Heyting algebra, but are able to validate the negation-free fragment of \. Then, we build lattice-valued models of full \, whose internal logic is weaker than intuitionistic logic. We conclude by using these models to give an independence proof of the Foundation axiom from \.

Programs, policies, and technologies — particularly those concerned with health equity — are often designed with justice envisioned as the end goal. These policies or interventions, however, frequently fail to recognize how the beneficiaries have historically embodied the cumulative effects of marginalization, which undermines the effectiveness of the intended justice. These well-meaning attempts at justice are bounded by greater socio-historical constraints. Bounded justice suggests that it is impossible to attend to fairness, entitlement, and equity when the basic social and physical (...) infrastructures underlying them have been eroded by racism and other historically entrenched isms. Using the case of Brazil’s National Health Policy for the Black Population, this paper proposes that bounded justice can contribute to justice discourses by serving as a concept, a proffering to a multi-disciplinary conceptual framework, and a potential analytic for those interested in the design of policy, technology, and programmatic interventions towards health equity. (shrink)

We show that every nonzero $\Delta _{2}^{0}$ e-degree bounds a minimal pair. On the other hand, there exist $\Sigma _{2}^{0}$ e-degrees which bound no minimal pair.

ABSTRACTIn this article, the intention is twofold. To introduce and substantiate Søren Kierkegaard’s notion of love and to put this notion in relation to the Romantics. The article is divided into six sections. I first offer a brief description of Kierkegaard’s view on the Romantics, his affections and his disagreements. Secondly, I will introduce Kierkegaard’s own notion of love that rest partly on Plato’s view on eros as passion, partly on the biblical definitions of love in 1 John and Matthew. (...) Thirdly, I will present Kierkegaard’s notion of love as a double urge to love and to be love and contrast this double-bound urge with Anders Nygren’s notion of eros and agape and C. S. Lewis’ differentiation between Need-Love and Gift-Love. In the fourth section, I will discuss the relation between human and divine love. In the fifth section, I will introduce Kierkegaard’s notion of being in love as preferential love. And finally, in the sixth paragraph, I will address Kierkegaard’s view on neighbor love. (shrink)

The purpose of this article is show that second-order logic, as understood through standard semantics, is intimately bound up with set theory, or some other general theory of interpretations, structures, or whatever. Contra Quine, this does not disqualify second-order logic from its role in foundational studies. To wax Quinean, why should there be a sharp border separating mathematics from logic, especially the logic of mathematics?

We show that every nonzero Δ20, e-degree bounds a minimal pair. On the other hand, there exist Σ20, e-degrees which bound no minimal pair.

The standard theory for belief revision provides an elegant and powerful framework for reasoning about how a rational agent should change its beliefs when confronted with new information. However, the agents considered are extremely idealized. Some recent models attempt to tackle the problem of plausible belief revision by adding structure to the belief bases and using nonstandard inference operations. One of the key ideas is that not all of an agent's beliefs are relevant for an operation of belief change.In this (...) paper we incorporate the insights pertaining to local change and relevance sensitivity with the use of approximate inference relations. These approximate inference relations offer us partial solutions at any stage of the revision process. The quality of the approximations improves as we allow for more and more resources to be used. We are provided with upper and lower bounds to what would be obtained with the use of classical inference. (shrink)

An interesting link between two very different physical aspects of quantum mechanics is revealed; these are the absence of third-order interference and Tsirelson’s bound for the nonlocal correlations. Considering multiple-slit experiments—not only the traditional configuration with two slits, but also configurations with three and more slits—Sorkin detected that third-order (and higher-order) interference is not possible in quantum mechanics. The EPR experiments show that quantum mechanics involves nonlocal correlations which are demonstrated in a violation of the Bell or CHSH (...) inequality, but are still limited by a bound discovered by Tsirelson. It now turns out that Tsirelson’s bound holds in a broad class of probabilistic theories provided that they rule out third-order interference. A major characteristic of this class is the existence of a reasonable calculus of conditional probability or, phrased more physically, of a reasonable model for the quantum measurement process. (shrink)

Despite its enduring insights, Durkheim’s theory of suicide fails to account for a significant set of cases because of its overreliance on structural forces to the detriment of other possible factors. In this paper, we develop a new theoretical framework for thinking about the role of culture in vulnerability to suicide. We argue that by focusing on the cultural dynamics of excessive regulation, particularly at the meso level, a more robust sociological model for suicide could be offered that supplements structure-heavy (...) Durkheimian theory. In essence, we argue that the relevance of cultural regulation to suicide rests on the (1) degree to which culture is coherent in sociocultural places, (2) existence of directives related to prescribing or proscribing suicide, (3) degree to which these directives translate into internalized meanings affecting social psychological processes, and (4) degree to which the social space is bounded. We then illustrate how our new theory provides useful insights into three cases of suicide largely neglected within sociology: specifically, suicide clusters in high schools, suicide in the military, and suicides of “despair” among middle-aged white men. We conclude with implications for future sociological research on suicide and suicide prevention. (shrink)

Non-compliance is a label often used about patients who do not follow therapeutic advice. This paper analyses the notion of compliance, and tries to show that this notion is inextricably bound to a paternalistic conception of the doctor-patient relationship. It is proposed that we should perhaps not talk so much about the non-compliant patient, but instead shift the focus towards the non-compliant doctor.

Director compensation can potentially represent an ethical minefield. When faced with supporting strategic decisions that can lead to an increase in director pay, directors may consider their own interests and not solely those of the shareholders to whom they are legally bound to represent. In such cases, directors essentially become agents, rather than those installed to protect principals (shareholders) from agents. Using acquisitions as a study context, we employ a matched-pair design and find a statistically significant difference in outside (...) director compensation between acquiring and control firms. Outside directors of acquiring firms earn more than twice as much as their counterparts in the matched-sample. (shrink)

The topic of biopolitics is a timely one, and it has become increasingly important for scholars to reconsider how life is objectified, mobilized, and otherwise bound up in politics. This cutting-edge volume discusses the philosophical, social, and political notions of biopolitics, as well as the ways in which biopower affects all aspects of our lives, including the relationships between the human and nonhuman, the concept of political subjectivity, and the connection between art, science, philosophy, and politics. In addition to (...) tracing the evolving philosophical discourse around biopolitics, this collection researches and explores certain modes of resistance against biopolitical control. Written by leading experts in the field, the book’s chapters explore resistance across a wide range of areas: politics and biophilosophy, technology and vitalism, creativity and bioethics, and performance. Resisting Biopolitics is an important intervention in contemporary biopolitical theory, looking towards the future of this interdisciplinary field. (shrink)

This paper studies the dynamic characteristics of triopoly models that are constructed based on a 3-dimensional Cobb–Douglas utility function. The paper presents two parts. The first part introduces a competition among three rational firms on which their prices are isoelastic functions. The competition is described by a 3-dimensional discrete dynamical system. We examine the impact of rationality on the system’s steady state point. Studying the stability/instability of this point, which is Nash equilibrium and is unique in those models, is illustrated. (...) Numerically, we give some global analysis of Nash point and its stability. The second part deals with heterogeneous scenarios. It consists of two different models. In the first model, we assume that one competitor adopts the local monopolistic approximation mechanism while the other opponents are rational. The second model assumes two heterogeneous players with LMA mechanism against one rational firm. Studies show that the stability of NE point of those models is not guaranteed. Furthermore, simulation shows that when firms behave rational with symmetric costs, the stability of NE point is achievable. (shrink)

The burden of this piece is to draw together into a coherent whole the somewhat diverse strands of Israel Scheffler's thought on the philosophy of religion. Extrapolating from personal discussions with Professor Scheffler, various of his books, articles, and other unpublished materials authored and kindly provided by him, I contend that he adumbrates a post-empiricist rendering of religious belief which masterfully avoids some philosophical problems, while unwittingly giving rise to others. Committed to the view that the methodology of science – (...) in one or other of its more acceptable guises – provides the most reliable measure of the content and structure of reality. Scheffler is bound conceptually to redefine Jewish belief in such a way that the traditional conflict between religion and science never emerges. Consistent with this end, he is concerned to divest traditional Judaism of its metaphysical garb, so that what remains are simply the matters of living to which religion ought properly on his view address itself. The Bible is thus reconceptualized as a piece of rich literature, of no real difference in logical kind to any other piece of rich literature, except that it defines uniquely, along with the Torah and other relevant Jewish literature, the history of the particular community whose perception of human values and meaningfulness forms the core of what it is to be Jewish. (shrink)

In this paper, we argue that our moral concern for future well-being should reduce over time due to important practical considerations about how humans interact with spacetime. After surveying several of these considerations (around equality, special duties, existential contingency, and overlapping moral concern) we develop a set of core principles that can both explain their moral significance and highlight why this is inherently bound up with our relationship with spacetime. These relate to the equitable distribution of (1) moral concern (...) in a universe that we can only causally affect in one temporal direction; (2) access to the benefits from using spacetime as a resource; and (3) the burdens of care given (1) and (2). We conclude by considering the practical implications of our argument and find that, while it is often assumed that a preference for present over future well-being weakens the case for existential risk mitigation, this likely is not the case. (shrink)

By exploring the hypothesis of magnetic monopoles, we consider the existence of electric fields produced by magnetic current densities. Then, we consider a uniformly rotating frame with the purpose of searching for effects of rotation on the interaction of axial electric fields with the magnetic quadrupole moment of a neutral particle. Our analysis is made through the WKB approximation. Therefore, by applying the WKB approximation, we search for bound state solutions to the Schrödinger equation in two particular cases.

Is understanding subject to a factivity constraint? That is, must the agent’s representation of some subject matter be accurate in order for her to understand that subject matter? ‘No’, I argue in this paper. As an alternative, I formulate a novel manipulationist account of understanding. Rather than correctly representing, understanding, on this account, is a matter of being able to manipulate a representation of the world to satisfy contextually salient interests. This account of understanding is preferable to factivism, I argue, (...) mainly for simplicity reasons. While it explains the intuitive data about understanding as successfully as factivist accounts, it is simpler by virtue of reducing the value truth bestows on understanding to that of usability. (shrink)

Advances in genomic technologies such as CRISPR‐Cas9, mitochondrial replacement techniques, and in vitro gametogenesis may soon give us more precise and efficient tools to have children with certain traits such as beauty, intelligence, and athleticism. In this paper, I propose a new approach to the ethics of reproductive genetic engineering, a human rights approach. This approach relies on two claims that have certain, independent plausibility: (a) human beings have equal moral status, and (b) human beings have human rights to the (...) fundamental conditions for pursuing a good life. I first argue that the human rights approach gives us a lower bound of when reproductive genetic engineering would be permissible. I then compare this approach with other approaches such as the libertarian, perfectionist, and life worth living approaches. Against these approaches, I argue that the human rights approach offers a novel, and more plausible, way of assessing the ethics of reproductive genetic engineering. (shrink)

This interesting book is a compilation of the lectures and discussions held during a four-day event "Grand Challenges for Science in the 21st Century" organized by Para Limes at the Nanyang Technological University in Singapore. The elite group of speakers included Nobel laureate Sydney Brenner who called on all scientists to adopt a truth-seeking approach and not be afraid of challenging assumptions. The other panellists were Martin Rees, Astronomer Royal and past President of the Royal Society, the much-cited Terrence Sejnowski (...) from the renowned Salk Institute for Biological Studies, the well-known keynote speaker in economics and complexity sciences Brian Arthur, the former President of the European Research Council Helga Nowotny and the Director of the Parmenides Center for the Conceptual Foundations of Science Eors Szathmary. The lively sessions were moderated by the Danish writer Tor Norretranders. The panel tackled topics from evolution and the origin of the universe to modern technologies and artificial intelligence. The challenges presented during the event are bound to get the reader thinking about what may lie ahead in our future. (shrink)

Hegel's influence on post-Hegelian philosophy is as profound as it is ambiguous. Modern philosophy is philosophy after Hegel. Taking leave of Hegel's system appears to be a common feature of modern and post-modern thought. One could even argue that giving up Hegel's claim of totality defines philosophy after Hegel. Modern and post-modern philosophies are philosophies of finitude: Hegel's philosophy cannot be repeated. However, its status as a negative backdrop for modern and post-modern thought already shows its pervasive influence. Precisely in (...) its criticism of Hegel, modern thought is bound up with his thinking. (shrink)

Distortions in memory impose important bounds on rationality but have been largely disregarded in economics. While it is possible to learn, it is more difficult, and sometimes impossible, to unlearn. This retention effect lowers individual utility directly or via reduced productivity, and adds costs to principal-agent relationships. The engraving effect states that the more one tries to forget a piece of information the more vivid it stays in memory, leading to a paradoxical outcome. The effects are based on, and are (...) supported by, psychological experiments, and it is shown that they are relevant in many economic situations and beyond. (shrink)

European Journal of Philosophy, EarlyView.

The main theorem of this paper is: If ƒ is a partial function from ℵ 1 to ℵ 1 which is ∑ 1 1 -bounded, then there is a weakly finite primitive recursive dilator D such that for all infinite αϵdom , ƒ ⩽ D . The proof involves only elementary combinatorial constructions of trees. A generalization to ptykes is also given.

Solipsism indicates an epistemological position that denies the existence of ‘others’ by asserting that the ‘self’ is the only thing that can be known to exist. For sophist philosophers, the belief that “we can not know anything, and even if we do so, we cannot communicate it” is central to this theory. However, until now there has been little academic scholarship that has tried to provide answers to the pressing issues raised by solipsism. In Solipsist Ontology: Physical Things and Personal (...) Perceptual Space, Ural aims to redefine solipsism by analyzing and elaborating on traditional philosophical problems, such as empiricism and rationalism, as well as discussing problems of language, communication, and meaning. Ural reveals where solipsism has been previously ignored, pseudo-problems have arisen that disguise the sources of the problems with prejudices that concern the philosophical problems in question. Notably, many current, as well as traditional problems of ontology, epistemology, and language are bound up in discourses of solipsism. Ural argues that discarding solipsism as a philosophical discourse hinders new interpretations of traditional philosophical thought. This book offers a fresh perspective to solipsism by defining it in relation to concepts such as ‘physical things,’ ‘personal perceptual space’ and ‘identity.’ Importantly, Ural proposes that an understanding of ‘identity’ is not necessary in order to redefine solipsism. By building a logical system that fashions communication and solipsism as interrelated, it is possible to reject ‘identity’ as a useless concept and thus overcome the classic solipsist dilemma of “we are not able to communicate.” This original piece of research is an important and timely contribution to the field of philosophy that will be of great interest to teachers, researchers, and students. (shrink)

The aim of our survey was to capture the attitudes of Swedes to marginal donors and xenotransplantation. Modern biotechnology makes it possible to replace non-functioning organs, cells, and genes. Nonetheless, people may have reservations and fears about such treatments. With the survey, Attitudes of the General Public to Transplants, we have sought to expose the ambivalence that arises when medical possibilities are juxtaposed with ideas of risk. The design of the questionnaire originates from the interdisciplinary cooperation between ethnologists, medical scientists, (...) and geneticists. By combining qualitative and quantitative methods, it is possible to illustrate the complexity that characterises people’s view of modern biomedicine. People’s reflections are based on a personal and situation bound morality, which does not necessarily coincide with what they generally consider as ethically justifiable. (shrink)

Peter Marshall has done what all those concerned with manuscripts dream of doing: he has turned up a substantial lost portion of an ancient text. His discovery is related, with great modesty, in an article in Manuscripta 37 , 3–20, where he prints for the first time Tiberius Claudius Donatus' commentary on Virgil, Aeneid 6.1–157, edited from a gathering written in the sixteenth century and now bound into Vaticanus Latinus 8222 ff. 2r–9v. We offer here some emendations to the (...) text he prints; we are grateful to Prof. M. D. Reeve and Dr S. J. Heyworth for their suggestions, which we have incorporated in what follows. The bold figures represent the lines of Aeneid 6. (shrink)

A structure ${\mathbb Y}$ of a relational language L is called almost chainable iff there are a finite set $F \subset Y$ and a linear order $\,<$ on the set $Y\setminus F$ such that for each partial automorphism $\varphi $ of the linear order $\langle Y\setminus F, <\rangle $ the mapping $\mathop {\mathrm {id}}\nolimits _F \cup \varphi $ is a partial automorphism of ${\mathbb Y}$. By theorems of Fraïssé and Pouzet, an infinite structure ${\mathbb Y}$ is almost chainable iff the (...) profile of ${\mathbb Y}$ is bounded; namely, iff there is a positive integer m such that ${\mathbb Y}$ has $\leq m$ non-isomorphic substructures of size n, for each positive integer n. A complete first order L-theory ${\mathcal T}$ having infinite models is called almost chainable iff all models of ${\mathcal T}$ are almost chainable and it is shown that the last condition is equivalent to the existence of one countable almost chainable model of ${\mathcal T}$. In addition, it is proved that an almost chainable theory has either one or continuum many non-isomorphic countable models and, thus, the Vaught conjecture is confirmed for almost chainable theories. (shrink)

This paper proposes a Cournot game organized by three competing firms adopting bounded rationality. According to the marginal profit in the past time step, each firm tries to update its production using local knowledge. In this game, a firm’s preference is represented by a utility function that is derived from a constant elasticity of substitution production function. The game is modeled by a 3-dimensional discrete dynamical system. The equilibria of the system are numerically studied to detect their complex characteristics due (...) to difficulty to get an explicit form for those equilibria. For the proposed utility function, some cases with different value parameters are considered. Numerical simulations are used to provide an experimental evidence for the complex behavior of the evolution of the system. The obtained results show that the system loses its stability due to different types of bifurcations. (shrink)

Margaret Gilbert’s ‘Three Dogmas about Promising’ is a paradigm-shifting contribution to the literature, not only for its account of promissory obligation based on joint commitment, but for its equally important focus on two properties of such obligation, which her account uniquely and elegantly captures: first, that the duty to keep a promise is necessary—the obligation stands regardless of the content or morality of the promise—and, second, that it is directed, with the promisee having unique standing to demand performance. A related (...) point, implied by Gilbert’s argument, is that moral requirements, alone, can never have those properties. Here I challenge that point, arguing that moral requirements, under the right circumstances, can give rise to necessary and directed obligations, after all, and I propose one such moral obligation of which the duty to keep a promise may well be an instance. Nevertheless, I conclude, it may not provide as plausible a basis of promissory obligation as joint commitment. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophy and Rhetoric 34.1 (2001) 21-37 [Access article in PDF] Conscience and the Concealments of Metaphor in Hobbes's Leviathan Karen S. Feldman Introduction Conscience is not a topic of terribly heated debate in Hobbes research. 1 Nevertheless, my claim in this article is that conscience in the Leviathan, which Hobbes poses as an example of the dangers of metaphor, is not merely an example of the dangers of metaphor, (...) but rather is the most dangerous metaphor, the metaphor that corrupts knowledge and thereby makes error and deception possible. Hobbes's brief account of conscience, which appears in the chapter of Leviathan on the ends of discourse, tells the story of the insinuation of metaphor into proper nomenclature; however, his example of the metaphorical use of the word conscience turns the story into one in which public knowledge itself is made private and thereby corrupted. Moreover, according to the story, private conscience is itself invented by means of a metaphor; it is in effect metaphorized into being. 2 With the emergence of private conscience, the potential of privatization expands from the privatization of the meaning of words to an entire private sphere of opinion. The metaphorical corruption of conscience invents a new understanding of knowledge as isolated from other witnesses, and the resultant privatization of truth lends itself to the corruption of that truth. Thus, whereas Hobbes characterizes the wrong use of names (of which metaphor is an instance) as a threat to accurate judgment and reason (L 22-23, 34, 161-62), as I will argue in the sections following, Hobbes's demand for the preservation of proper meaning in Leviathan corresponds to an anxiety regarding privacy and its peculiar potential for corrupting truth and knowledge. Hobbes's worries as to the dangers that metaphor poses to the stability of the commonwealth thereby converge with his worries about the dangers of conscience to the principle of public authority (cf. Strong 1993). [End Page 21] Hobbes's condemnations of conscience In Leviathan, conscience is condemned as a source of principles of human decision and action in a commonwealth. The problem with conscience as a principle of action is that it renders each individual inventor of his own rules and judge of his own actions. In brief, individual conscience is incommensurable with the public authority that defines a commonwealth: Another doctrine repugnant to civil society, is, that whatsoever a man does against his conscience, is sin; and it dependeth on the presumption of making himself judge of good and evil. For a man's conscience, and his judgment is the same thing, and as the judgment, so also the conscience may be erroneous. Therefore, though he that is subject to no civil law, sinneth in all he does against his conscience, because he has no other rule to follow but his own reason; yet it is not so with him that lives in a commonwealth; because the law is the public conscience, by which he hath already undertaken to be guided. Otherwise in such diversity, as there is of private consciences, which are but private opinions, the commonwealth must needs be distracted, and no man dare to obey the sovereign power, further than it shall seem good in his own eyes. (L 311) In this account, conscience is not just inferior to civil law as a principle guiding action, but at odds with civil society and the good of the commonwealth. The fact that conscience is private renders it problematic for the commonwealth for several reasons: First, as privately invented, it may be erroneous. Likewise, because it is private, conscience does not possess any binding power outside the individual, private sphere. Each person may be bound by his own conscience, but insofar as consciences differ, standards of action differ, and this leads to the undermining and distraction of the commonwealth. Likewise, private consciences may be divergent from one another, and the conflicts in private judgment produce conflicting actions that disturb the peace of the commonwealth. This rule of privacy is, moreover, associated with primitive life and with the state of nature... (shrink)

That art historians have felt it necessary to emulate this effort to express personal input can be explained by our need to gain credibility in that aspect of our work that is indistinguishable in method from other historical research: the reconstruction, through documents and artifacts, of past events, conditions, and attitudes. Most of us simply ignore the ambivalence of our position; I cannot recall having heard or read discussions of it, but it is bound to creep out from under (...) the rug. If a student asks me why I think Rembrandt and Picasso are good artists—which most students are too well trained to do—and if I answer that judgments of value are not discussed by historians, I am within my rights, like a witness at a congressional hearing claiming the protection of the Fifth Amendment. But I ought to be found in contempt of the classroom. And if I try to answer seriously, I ought not begin by saying that I chose Rembrandt because he has been acknowledged by generations to have been a great artist but rather because I find more to think, feel, and speak about in his works than in those of, for example, Nicolaes Maes, and because I believe that the student stands to gain more by looking at them. I want the student to have the most rewarding experiences, and, as a result, perhaps to learn to make value discriminations of his own—even ones different from mine and from the so-called consensus of history—and ultimately to explain the grounds on which he makes them. This means having to know and to explain what I think is "rewarding." James S. Ackerman, professor of fine arts at Harvard University, is the author of, among other works, The Architecture of Michelangelo, Art and Archaeology, The Cortile del Belvedere, and Palladio. He is currently writing on Renaissance art, science, and naturalism and making a film on Andrea Palladio and his influence in America. "Transactions in Architectural Design," his previous contribution to Critical Inquiry, appeared in the Winter 1974 issue. (shrink)

Some very bad old arguments need removing from NICE’s latest reportLet me begin this editorial by reassuring readers that the journal does not hold any deep seated grudge against the National Institute for Health and Clinical Excellence . However, because the pronouncements of NICE are of great importance to the future of health care in England, and to a lesser extent in the other nations of the United Kingdom, and because NICE is often held up as a model for other (...) countries to follow we feel that we have to comment when these pronouncements are less than ethically excellent. And in 2005 NICE just happened to have a particularly bad year with regard to the cogency of its ethical arguments, and this flow of bad argument extended right to the end of the year.In December 2005 NICE published a report with the title Social Value Judgments—Principles for the Development of NICE Guidance, which considered whether social background, age, or lifestyle choices should ever influence NICE guidance concerning the health care provided by the National Health Service .1 This report was endorsed by the NICE board and its guidelines are binding on all panels developing specific NICE guidance.Here I want to focus on three areas of this report: The relevance of self inflicted conditions The relevance of socioeconomic status The relevance of stigmaI will not comment on NICE’s methodology in coming to these conclusions, since that is the subject of a paper by John McMillan and colleagues, which is published in this issue of the journal.2With regard to self inflicted conditions NICE has now bound itself to the following principle:PRINCIPLE 10Principle 10 states that:"NICE and its advisory bodies should avoid denying care to patients with conditions that are, or may be, self … ". (shrink)

We discuss automorphisms of saturated models of PA and boundedly saturated models of PA. We show that Smoryński's Lemma and Kaye's Theorem are not only true for countable recursively saturated models of PA but also true for all boundedly saturated models of PA with slight modifications.