We study in a constructive manner some problems of topology related to the set Irr of irrational reals. The constructive approach requires a strong notion of an irrational number; constructively, a real number is irrational if it is clearly different from any rational number. We show that the set Irr is one-to-one with the set Dfc of infinite developments in continued fraction . We define two extensions of Irr, one, called Dfc1, is the set of dfc of rationals and irrationals (...) preserving for each rational one dfc, the other, called Dfc2, is the set of dfc of rationals and irrationals preserving for each rational its two dfc. We introduce six natural distances over Irr wich we denote by dfc0, dfc1, dfc2, d, dmir and dcut. We show that only the four distances dfco, dfc1, d and dmir among the six make Irr a complete metric space. The last distances define in Irr the same topology in a constructive sens. We study further the set Dfc1 in which we show that the irrationals constitute a closed subset. Finally, we make a particular study of the completion Dfc2 of Dfc for the two equivalent metrics dfc2 and dcut. (shrink)

So much for the Aesthetic. We can now proceed to the Analytic, the philosophical importance of which is much greater. Kant's main contentions in this part of his work can be summed up in; two propositions: human understanding contains certain a priori concepts, and on these are based certain non-empirical principles; these concepts are only general concepts of a phenomenal object, and therefore the principles in question are only prescriptive to sense-experience. As has already been said, interest in the first (...) proposition has distracted attention from the fact that the important thing Kant has to say is contained in the second. (shrink)

Focusing on Shannon information, this article shows that, even on the basis of the same formalism, there may be different interpretations of the concept of information, and that disagreements may be deep enough to lead to very different conclusions about the informational characterization of certain physical situations. On this basis, a pluralist view is argued for, according to which the concept of information is primarily a formal concept that can adopt different interpretations that are not mutually exclusive, but each useful (...) in a different specific context. (shrink)

The general question to be considered in this paper points to the nature of the world described by chemistry: what is macro-chemical ontology like? In particular, we want to identify the ontological categories that underlie chemical discourse and chemical practice. This is not an easy task, because modern Western metaphysics was strongly modeled by theoretical physics. For this reason, we attempt to answer our question by contrasting macro-chemical ontology with the mainstream ontology of physics and of traditional metaphysics. In particular, (...) we introduce the distinction between stuff-ontology, proper of chemistry, and individual-ontology, proper of physics. These two ontologies differ from each other in the basic categories of their own structures. On this basis, we characterize individual-ontology in such a way that the features of stuff-ontology will arise by contrast with it. (shrink)

In the present paper we address the problem of optical isomerism embodied in the socalled “Hund’s paradox”, which points to the difficulty to account for chirality by means of quantum mechanics. In particular, we explain the answer to the problem proposed by the theory of decoherence. The purpose of this article is to challenge this answer on the basis of a conceptual analysis of the phenomenon of decoherence, that reveals the limitations of the theory of decoherence to solve the difficulties (...) posed by optical isomerism and, in general, by quantum measurement. (shrink)

Our purpose in this paper is to delineate an ontology for quantum mechanics that results adequate to the formalism of the theory. We will restrict our aim to the search of an ontology that expresses the conceptual content of the recently proposed modal-Hamiltonian interpretation, according to which the domain referred to by non-relativistic quantum mechanics is an ontology of properties. The usual strategy in the literature has been to focus on only one of the interpretive problems of the theory and (...) to design an interpretation to solve it, leaving aside the remaining difficulties. On the contrary, our aim in the present work is to formulate a “global” solution, according to which different problems can be adequately tackled in terms of a single ontology populated of properties, in which systems are bundles of properties. In particular, we will conceive indistinguishability between bundles as a relation derived from indistinguishability between properties, and we will show that states, when operating on combinations of indistinguishable bundles, act as if they were symmetric with no need of a symmetrization postulate. (shrink)

By moving away from the traditional reductionist reading of the quantum theory of atoms in molecules, in this paper we analyze the role played by QTAIM in the relationship between molecular chemistry and quantum mechanics from an emergentist perspective. In particular, we show that such a relationship involves two steps: an intra-domain emergence and an inter-domain emergence. Intra-domain emergence, internal to quantum mechanics, results from the fact that the electron density, from which all the other QTAIM’s concepts are defined, arises (...) from the wavefunction as a coarse-grained magnitude. Inter-domain emergence involves an analogical link, a mapping, between QTAIM’s entities, such as topological atoms and bond paths, and the entities that populate the molecular-chemistry domain, such as chemical atoms and chemical bonds. (shrink)

Some authors, inspired by the theoretical requirements for the formulation of a quantum theory of gravity, proposed a relational reconstruction of the quantum parameter-time—the time of the unitary evolution, which would make quantum mechanics compatible with relativity. The aim of the present work is to follow the lead of those relational programs by proposing a relational reconstruction of the event-time—which orders the detection of the definite values of the system’s observables. Such a reconstruction will be based on the modal-Hamiltonian interpretation (...) of quantum mechanics, which provides a clear criterion to select which observables acquire a definite value and to specify in what situation they do so. (shrink)

L’alternative « soins ordinaires », « soins extraordinaires » en fin de vie nous place au cœur d’un débat très actuel de pratique et d’éthique médicales. L’article examine les difficultés de la médecine de fin de vie et met en évidence certaines insuffisances des analysesmises en œuvre pour prendre les décisions appropriées. La lecture des textes magistériels sur ces questions amènent pareillement à se demander si la science bioéthique n’est pas dans une impasse.

In his new book the eminent Kant scholar Henry Allison provides an innovative and comprehensive interpretation of Kant's concept of freedom. The author analyzes the concept and discusses the role it plays in Kant's moral philosophy and psychology. He also considers in full detail the critical literature on the subject from Kant's own time to the present day. In the first part Professor Allison argues that at the centre of the Critique of Pure Reason there is the foundation for a (...) coherent general theory of rational agency. The second part employs this account of rational agency as a key to understanding Kant's concept of moral agency and associated moral psychology. The third part focuses on Kant's attempt to ground both moral law and freedom in the Groundwork and the Critique of Practical Reason. This is a major contribution to the interpretation of Kant which will be of special interest to scholars and graduate students of Kant's moral theory. (shrink)

Cet ouvrage n'est ni un commentaire ni une explication d'obedience historiciste ou deterministe. Par questionnement, lecture et interpretation, l'auteur a voulu produire une semantique philosophique. La doctrine des idees est ainsi reexaminee a la convergence des problemes du langage, de la science et de la cite (logos, episteme, polis). Elle ne peut plus des lors etre interpretee sous l'hypothese de l' idealisme. Elle se manifeste comme une serie de questions de sens ou s'indique une philosophie de la raison. Partout ou (...) le logos nous porte, c'est la qu'il faut aller, tel en serait le mot d'ordre, mais avec la precision qu'a l'articulation du mythique et du theorique, du tragique et du philosohique, et plus profondement de la deraison et du logos, le rationalisme platonicien n'est fait que de raison. (shrink)

This landmark book is now reissued in a new edition that has been vastly rewritten and updated to respond to recent Kantian literature.

Few books have so firmly established their place in American literature as The Education of Henry Adams. When it was first published in 1918, it became an instant bestseller and went on to win the Pulitzer Prize. More than eighty years later, in an age of self-reflection and exhaustive memoirs, The Education still stands as perhaps the greatest American autobiography. The son of a diplomat, the grandson and great-grandson of two American presidents, a man of extraordinary gifts and learning in (...) his own right, Henry Adams recounts his life from his birth in 1838 and upbringing as a Boston Brahmin, through the Civil War, the nation's industrial expansion, and its emergence as a world power. In the process, he gives us a brilliant history of a changing country as well as a thoughtful, humane, often tender exploration of himself. From the original publisher, this edition of The Education of Henry Adams, newly introduced by Donald Hall, celebrates and honors this classic work on what it means to be an American. (shrink)

Although during the last decades the philosophy of chemistry has greatly extended its thematic scope, the main difficulties appear in the attempt to link the chemical description of atoms and molecules and the description supplied by quantum mechanics. The aim of this paper is to analyze how the difficulties that threaten the continuous conceptual link between molecular chemistry and quantum mechanics can be overcome or, at least, moderated from the perspective of BM. With this purpose, in “The quantum-mechanical challenges” section (...) the foundational incompatibility between chemical and SQM descriptions will be briefly recalled. “Bohmian mechanics” section will be devoted to explain the main features of BM. In “Empirical equivalence and underdetermination” section, the consequences of the empirical equivalence between SQM and BM will be discussed. Finally, in the Conclusion, we will stress the scope of the obtained conclusions and the philosophical difficulties that still remain even after adopting BM for foundational purposes. (shrink)

Henry Home (1696-1782) has been called "perhaps the most complete 'Enlightenment man' among the eighteenth-century Scottish thinkers." Kinsman and friend of David Hume, mentor and patron of Adam Smith, John Millar, and Thomas Reid, he was a key figure in that circle of luminaries. He read law, was called to the bar in 1723, was raised to the Bench of the Court of Session in 1752, with the title Lord Kames (the name of his family estate), and joined the High (...) Court of the Justiciary in 1763. Publishing broadly in law, history, philosophy, and criticism, Kames made significant contributions to the Enlightenment's science of human nature. The Essays is commonly considered Kames's most important philosophical work. In the first part, he sets forth the principles and foundations of morality and justice, attacking Hume's moral skepticism and addressing the controversial issue of the freedom of human will. In the second part, Kames focuses on questions of metaphysics and epistemology to offer a natural theology in which the authority of the external senses is an important basis for belief in the Deity. The text of this volume is based on the third edition of 1779, while the appendix presents substantial variant readings in the first and second editions. (shrink)

Our purpose in this paper is to delineate an ontology for quantum mechanics that results adequate to the formalism of the theory. We will restrict our aim to the search of an ontology that expresses the conceptual content of the recently proposed modal-Hamiltonian interpretation, according to which the domain referred to by non-relativistic quantum mechanics is an ontology of properties. The usual strategy in the literature has been to focus on only one of the interpretive problems of the theory and (...) to design an interpretation to solve it, leaving aside the remaining difficulties. On the contrary, our aim in the present work is to formulate a “global” solution, according to which different problems can be adequately tackled in terms of a single ontology populated of properties, in which systems are bundles of properties. In particular, we will conceive indistinguishability between bundles as a relation derived from indistinguishability between properties, and we will show that states, when operating on combinations of indistinguishable bundles, act as if they were symmetric with no need of a symmetrization postulate. (shrink)

The purpose of the present paper is to consider the traditional interpretive problems of quantum mechanics from the viewpoint of a modal ontology of properties. In particular, we will try to delineate a quantum ontology that (i) is modal, because describes the structure of the realm of possibility, and (ii) lacks the ontological category of individual. The final goal is to supply an adequate account of quantum non-individuality on the basis of this ontology.

In this paper we will address the problem of the existence of orbitals by analyzing the relationship between molecular chemistry and quantum mechanics. In particular, we will consider the concept of orbital in the light of the arguments that deny its referring character. On this basis, we will conclude that the claim that orbitals do not exist relies on a metaphysical reductionism which, if consistently sustained, would lead to consequences clashing with the effective practice of science in its different branches.

(Ch. 6) les conceptions de Constant en matière économique et sociale. (ch. 7) l'influence de Constant.

The Context Comparison Model provides a promising avenue to guide persuasive communication development by highlighting the features of the communication context that require consideration, including source, target, and task variables. The model was tested in a study of global climate change. American participants read a text outlining scientific evidence for global climate change and a policy proposal to mitigate future climate change. Prior to reading the text, participants’ completed measures of their political affiliation to render their group memberships salient. They (...) were randomly assigned to one of four source conditions: ingroup minority; ingroup majority; outgroup minority; or outgroup minority. Participants completed pre- and post-measures of attitudes and the plausibility of climate change. Pretest scores revealed that global climate change attitudes were held less strongly by Republicans than Democrats. In line with expectations, participants’ subjective attitudes were more influenced by ingroup sources, and larger persuasive effects were obtained for ingroup minorities. For the plausibility of climate change, participants were more persuaded by an outgroup source, and larger effects were evident for outgroup majorities. Results were precisely predicted by the CCM. Their implications for science communication were discussed. (shrink)

In the present paper we address the problem of optical isomerism embodied in the socalled “Hund’s paradox”, which points to the difficulty to account for chirality by means of quantum mechanics. In particular, we explain the answer to the problem proposed by the theory of decoherence. The purpose of this article is to challenge this answer on the basis of a conceptual analysis of the phenomenon of decoherence, that reveals the limitations of the theory of decoherence to solve the difficulties (...) posed by optical isomerism and, in general, by quantum measurement. (shrink)

Although during the last decades the philosophy of chemistry has greatly extended its thematic scope, the main difficulties appear in the attempt to link the chemical description of atoms and molecules and the description supplied by quantum mechanics. The aim of this paper is to analyze how the difficulties that threaten the continuous conceptual link between molecular chemistry and quantum mechanics can be overcome or, at least, moderated from the perspective of BM. With this purpose, in “The quantum-mechanical challenges” section (...) the foundational incompatibility between chemical and SQM descriptions will be briefly recalled. “Bohmian mechanics” section will be devoted to explain the main features of BM. In “Empirical equivalence and underdetermination” section, the consequences of the empirical equivalence between SQM and BM will be discussed. Finally, in the Conclusion, we will stress the scope of the obtained conclusions and the philosophical difficulties that still remain even after adopting BM for foundational purposes. (shrink)

The form of an action has a strong influence on the interaction between humans. According to their mood, people may perform the same gesture in different ways, such as gently or rudely. These aspects of social communication are named vitality forms by Daniel Stern, represent a mean to establish a direct and immediate connection with others. Indeed, the expression of different vitality forms enables us to communicate our affective states and at the same time the perception of these vitality forms (...) enables people around us to understand how we feel in that moment. In the last years of research, different fMRI studies have been carried out to investigate the neural correlates of vitality forms recognition and execution. Moreover, recent psychophysics studies conducted from our research group have demonstrated the presence of an affective contagion effect, during which vitality forms expressed by an agent affect the action perception and the motor response of the receiver. This means that vitality forms expressed by others can influence our mood positively or negatively, modulating as consequence our behavior. Note that vitality forms pervade our lives in a continuous manner and thus they are not expressed and perceived only during social interactions. For example, when we observe an artistic representation at the theatre, the dynamic postures of dancers, together with an alternation of acceleration and deceleration in their movements, communicate to us different affective states. Also when we are in a museum in front of a painting, lines, colors and shapes used by the artist can elicit in us different sensations and modify our attitude. In this view, with the aim to extend the concept of vitality forms from neuroscience and psychology to other disciplines of study, we dedicate part of this review to discuss how art, in all its forms, can be considered a pure expression of vitality forms. (shrink)

Since the nineteenth century, the problem of the arrow of time has been traditionally analyzed in terms of entropy by relating the direction past-to-future to the gradient of the entropy function of the universe. In this paper, we reject this traditional perspective and argue for a global and non-entropic approach to the problem, according to which the arrow of time can be defined in terms of the geometrical properties of spacetime. In particular, we show how the global non-entropic arrow can (...) be transferred to the local level, where it takes the form of a non-spacelike local energy flow that provides the criterion for breaking the symmetry resulting from time-reversal invariant local laws. (shrink)

We develop a vision of consumer responsibility in purchasing decisions in light of the Coalition of Immokalee Workers’ boycotts. These boycotts succeeded in convincing large fast food companies and national supermarket chains to pay tomato growers a penny more per pound, to improve working conditions and wages for pickers. The C.I.W. efforts to generate consumer support eschewed claims associated with rule-based obligations in favor of appeals more typically associated with virtue and caring ethics. The strategies encouraged consumers to understand the (...) plight of tomato pickers and to extend concern in an effort to improve the world. These strategies are associated more with encouragement to contribute to the social good rather than claims that in refusing to help, consumers would fail to fulfill an obligation. Insights from virtue ethics and caring ethics are offered as a model for a broader account of consumer social responsibility. (shrink)

Henry E. Allison presents an analytical and historical commentary on Kant`s transcendental deduction of the pure concepts of the understanding in the Critique of Pure Reason. He argues that, rather than providing a new solution to an old problem, it addresses a new problem, and he traces the line of thought that led Kant to the recognition of the significance of this problem in his 'pre-critical' period. In addition to the developmental nature of the account of Kant`s views presented here, (...) two distinctive features of Allison's reading of the deduction are a defense of Kant`s oft criticized claim that the conformity of appearances to the categories must be unconditionally rather than merely conditionally necessary and an insistence that the argument cannot be separated from Kant`s transcendental idealism. (shrink)

The modal-Hamiltonian interpretation belongs to the modal family of interpretations of quantum mechanics. By endowing the Hamiltonian with the role of selecting the subset of the definite-valued observables of the system, it accounts for ideal and non-ideal measurements, and also supplies a criterion to distinguish between reliable and non-reliable measurements in the non-ideal case. It can be reformulated in an explicitly invariant form, in terms of the Casimir operators of the Galilean group, and the compatibility of the MHI with the (...) theory of decoherence has been proved. Nevertheless, perhaps its main advantage in the eyes of a scientist is given by its several applications to well-known physical situations, leading to results compatible with experimental evidence. The purpose of this paper is to add a new application to the list: the case of optical isomerism, which is a central issue for the philosophy of physics and of chemistry since it points to the core of the problem of the relationship between physics and chemistry. Here it will be shown that the MHI supplies a direct and physically natural solution to the problem, a solution that does not require putting classical assumptions in “by hand.”. (shrink)

This article identifies a novel challenge to standard understandings of responsibility practices, animated by experimental studies of biases and heuristics. It goes on to argue that this challenge illustrates a general methodological challenge for theorizing about responsibility. That is, it is difficult for a theory to give us both guidance in real world contexts and an account of the metaphysical and normative foundations of responsibility without treating wide swaths of ordinary practice as defective. The general upshot is that theories must (...) either hew more closely to actual practice than they appear to, or they must provide some normative foundation for responsibility that does not go through actual practice. (shrink)

Cet ouvrage n'est ni un commentaire ni une explication d'obedience historiciste ou deterministe. Par questionnement, lecture et interpretation, l'auteur a voulu produire une semantique philosophique. La doctrine des idees est ainsi reexaminee a la convergence des problemes du langage, de la science et de la cite (logos, episteme, polis). Elle ne peut plus des lors etre interpretee sous l'hypothese de l' idealisme. Elle se manifeste comme une serie de questions de sens ou s'indique une philosophie de la raison. Partout ou (...) le logos nous porte, c'est la qu'il faut aller, tel en serait le mot d'ordre, mais avec la precision qu'a l'articulation du mythique et du theorique, du tragique et du philosohique, et plus profondement de la deraison et du logos, le rationalisme platonicien n'est fait que de raison. (shrink)

In this paper we argue that the formalisms for decoherence originally devised to deal just with closed or open systems can be subsumed under a general conceptual framework, in such a way that they cooperate in the understanding of the same physical phenomenon. This new perspective dissolves certain conceptual difficulties of the einselection program but, at the same time, shows that the openness of the quantum system is not the essential ingredient for decoherence. †To contact the authors, please write to: (...) Mario Castagnino, CONICET-IAFE, Universidad Nacional de Buenos Aires, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina; Roberto Laura, IFIR-Universidad Nacional de Rosario, Av. Pellegrini 250, 2000 Rosario, Argentina; Olimpia Lombardi, CONICET-Universidad Nacional de Buenos Aires, C. Larralde 3440, 6°D, 1430, Buenos Aires; e-mail: [email protected]. (shrink)

In a recent article entitled “The problem of molecular structure just is the measurement problem”, Alexander Franklin and Vanessa Seifert argue that insofar as the quantum measurement problem is solved, the problems of molecular structure are resolved as well. The purpose of the present article is to show that such a claim is too optimistic. Although the solution of the quantum measurement problem is relevant to how the problem of molecular structure is faced, such a solution is not sufficient to (...) account for the structure of molecules as understood in the field of chemistry. (shrink)

This landmark book is now reissued in a new edition that has been vastly rewritten and updated to respond to recent Kantian literature. It includes a new discussion of the Third Analogy, a greatly expanded discussion of Kant’s _Paralogisms, _and entirely new chapters dealing with Kant’s theory of reason, his treatment of theology, and the important Appendix to the Dialectic. _Praise for the earlier edition: _ “Probably the most comprehensive and substantial study of the Critique of Pure Reason written by (...) any American philosopher.... This is a splendid book.”—Lewis White Beck “This masterful study... will most certainly join the canon of required reading for future interpreters of Kant’s theoretical philosophy. Superbly organized and lucidly written.”—Garrett Green, _Journal of Religion_. (shrink)

According to Zurek, decoherence is a process resulting from the interaction between a quantum system and its environment; this process singles out a preferred set of states, usually called “pointer basis”, that determines which observables will receive definite values. This means that decoherence leads to a sort of selection which precludes all except a small subset of the states in the Hilbert space of the system from behaving in a classical manner: environment-induced-superselection—einselection —is a consequence of the process of decoherence. (...) The aim of this paper is to present a new approach to decoherence, different from the mainstream approach of Zurek and his collaborators. We will argue that this approach offers conceptual advantages over the traditional one when problems of foundations are considered; in particular, from the new perspective, decoherence in closed quantum systems becomes possible and the preferred basis acquires a well founded definition. (shrink)

Traditional discussions about the arrow of time in general involve the concept of entropy. In the cosmological context, the direction past-to-future is usually related to the direction of the gradient of the entropy function of the universe. But the definition of the entropy of the universe is a very controversial matter. Moreover, thermodynamics is a phenomenological theory. Geometrical properties of space-time provide a more fundamental and less controversial way of defining an arrow of time for the universe as a whole. (...) We will call the arrow defined only on the basis of the geometrical properties of space-time, independently of any entropic considerations, “the global arrow of time.” In this paper we will argue that: (i) if certain conditions are satisfied, it is possible to define a global arrow of time for the universe as a whole, and (ii) the standard models of contemporary cosmology satisfy these conditions. (shrink)

According to Zurek, decoherence is a process resulting from the interaction between a quantum system and its environment; this process singles out a preferred set of states, usually called “pointer basis”, that determines which observables will receive definite values. This means that decoherence leads to a sort of selection which precludes all except a small subset of the states in the Hilbert space of the system from behaving in a classical manner: environment-induced-superselection—einselection —is a consequence of the process of decoherence. (...) The aim of this paper is to present a new approach to decoherence, different from the mainstream approach of Zurek and his collaborators. We will argue that this approach offers conceptual advantages over the traditional one when problems of foundations are considered; in particular, from the new perspective, decoherence in closed quantum systems becomes possible and the preferred basis acquires a well founded definition. (shrink)

The interpretation of the concept of reduced state is a subtle issue that has relevant consequences when the task is the interpretation of quantum mechanics itself. The aim of this paper is to argue that reduced states are not the quantum states of subsystems in the same sense as quantum states are states of the whole composite system. After clearly stating the problem, our argument is developed in three stages. First, we consider the phenomenon of environment-induced decoherence as an example (...) of the case in which the subsystems interact with each other; we show that decoherence does not solve the measurement problem precisely because the reduced state of the measuring apparatus is not its quantum state. Second, the non-interacting case is illustrated in the context of no-collapse interpretations, in which we show that certain well-known experimental results cannot be accounted for due to the fact that the reduced states of the measured system and the measuring apparatus are conceived as their quantum states. Finally, we prove that reduced states are a kind of coarse-grained states, and for this reason they cancel the correlations of the subsystem with other subsystems with which it interacts or is entangled. (shrink)

Henry Allison is one of the foremost interpreters of the philosophy of Kant. This new volume collects all his recent essays on Kant's theoretical and practical philosophy. All the essays postdate Allison's two major books on Kant, and together they constitute an attempt to respond to critics and to clarify, develop and apply some of the central theses of those books. Two are published here for the first time. Special features of the collection are: a detailed defence of the author's (...) interpretation of transcendental idealism; a consideration of the Transcendental Deduction and some other recent interpretations thereof; further elaborations of the tensions between various aspects of Kant's conception of freedom and of the complex role of this conception within Kant's moral philosophy. (shrink)

The original text, written in the language and style of 1909, is almost completely unreadable in 2011. I have taken the liberty of editing it and paraphrasing it for the sake of readability; I have made every effort to preserve the author’s original meaning. Section headings and tables have been added by Prof. Steinhart. Note that Figure 1 is by Adams.