The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical (...) objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies. The probably most exciting new field of research deals with musical performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory is the key to inverse performance theory, an advanced new research field which deals with the calculation of varieties of parameters which give rise to a determined performance. This field uses techniques of algebraic geometry and statistics, approaches which have already produced significant results in the understanding of highest-ranked human performances. The book's formal language and models are currently being used by leading researchers in Europe and Northern America and have become a foundation of music software design. This is also testified by the book's nineteen collaborators and the included CD-ROM containing software and music examples. (shrink)

Dynamical systems are mathematical structures whose aim is to describe the evolution of an arbitrary deterministic system through time, which is typically modeled as (a subset of) the integers or the real numbers. We show that it is possible to generalize the standard notion of a dynamical system, so that its time dimension is only required to possess the algebraic structure of a monoid: first, we endow any dynamical system with an associated graph and, second, we prove that such a (...) graph is a category if and only if the time model of the dynamical system is a monoid. In addition, we show that the general notion of a dynamical system allows us not only to define a family of meaningful dynamical concepts, but also to distinguish among a cluster of otherwise tangled notions of reversibility, whose logical relationships are finally analyzed. (shrink)

Since Kraeplin and Kretschmer, the clarification of the limits between ordinary sadness and clinical depression has been a major concern. Much of the controversy has focused on whether and on which bases can be fixed a boundary in the continuum from the experience of sadness to major depressive episode. The new emphasis on the role of clinical judgment introduced by DSM-5 can be regarded as a way to address these issues, though leaving several questions open. After examining the implications of (...) the main topics raised by this still ongoing discussion, we will argue that in a clinical reality both mobility and intensity of emotional states may account for the discontinuity between ordinary sadness and clinical depression. (shrink)

This is the first complete, one-volume English translation of the ancient Chinese text Xunzi, one of the most extensive, sophisticated, and elegant works in the tradition of Confucian thought. Through essays, poetry, dialogues, and anecdotes, the Xunzi articulates a Confucian perspective on ethics, politics, warfare, language, psychology, human nature, ritual, and music, among other topics. Aimed at general readers and students of Chinese thought, Eric Hutton’s translation makes the full text of this important work more accessible in English than ever (...) before. Named for its purported author, the Xunzi has long been neglected compared to works such as the Analects of Confucius and the Mencius. Yet interest in the Xunzi has grown in recent decades, and the text presents a much more systematic vision of the Confucian ideal than the fragmented sayings of Confucius and Mencius. In one famous, explicit contrast to them, the Xunzi argues that human nature is bad. However, it also allows that people can become good through rituals and institutions established by earlier sages. Indeed, the main purpose of the Xunzi is to urge people to become as good as possible, both for their own sakes and for the sake of peace and order in the world. In this edition, key terms are consistently translated to aid understanding and line numbers are provided for easy reference. Other features include a concise introduction, a timeline of early Chinese history, a list of important names and terms, cross-references, brief explanatory notes, a bibliography, and an index. (shrink)

"New technologies implied in art creation and exhibition are modifying the traditional landmarks on which aesthetics has always focused. In particular, Virtual Reality artworks call the body into question when it comes to living a bodily experience within exhibitions accessible through technological tools that expand the human body’s capabilities and motor potential. The body's status is challenged in its traditional unity, that of a subject of experience living in a world where the spatial configuration is relatively constant. Conversely, in Virtual (...) Reality, the spatial aspect is novel to our body which needs to adapt to unpredicted and disorientating motor schemas. Therefore, the Virtual Reality aesthetic experience takes place into a novel configuration for the human body: hybrid and split into the virtual realm. Keywords: Aesthetics; Virtual Reality; Embodiment; Digital art; Bodily awareness ". (shrink)

This book addresses selected central questions in phenomenological psychology, a discipline that investigates the experience of self that emerges over the course of an individual’s life, while also outlining a new method, the formal indication, as a means of accessing personal experience while remaining faithful to its uniqueness. In phenomenological psychology, the psyche no longer refers to an isolated self that remains unchanged by life’s changing situations, but is rather a phenomenon which manifests itself and constantly takes form over the (...) course of a person’s unique existence. Thus, the formal indication allows us to study the way in which ipseity relates to the world in different situations, in a way that holds different meanings for different people. Based on this new approach, phenomenological psychotherapy marks a transition from a mode of grasping the truth about oneself through reflection, to a mode of accessing the disclosure of self through a work of self-transformation that requires the person to actually change her position on herself. By putting forward this method, the authors shed new light on the dynamic interplay between a person’s historicity and uniqueness on the one hand, and the related physiopathological mechanisms on the other, providing evidence from the fields of genetics, cardiology, the neurosciences and psychiatry. The book will appeal to a broad readership, from psychiatrists, psychologist and psychotherapists, to researchers in these fields. (shrink)

The principle of the common cause claims that if an improbable coincidence has occurred, there must exist a common cause. This is generally taken to mean that positive correlations between non-causally related events should disappear when conditioning on the action of some underlying common cause. The extended interpretation of the principle, by contrast, urges that common causes should be called for in order to explain positive deviations between the estimated correlation of two events and the expected value of their correlation. (...) The aim of this paper is to provide the extended reading of the principle with a general probabilistic model, capturing the simultaneous action of a system of multiple common causes. To this end, two distinct models are elaborated, and the necessary and sufficient conditions for their existence are determined. (shrink)

1. Sae sidae rŭl yŏrŏ gan saramdŭl -- 2. Ŏdum ŭi sidae.

The principle of the common cause demands that every pair of causally independent but statistically correlated events should be the effect of a common cause. This demand is often supplemented with the requirement that said cause should screen-off the two events from each other. This paper introduces a new probabilistic model for common causes, which generalises this requirement to include sets of distinct but non-disjoint causes. It is demonstrated that the model hereby proposed satisfies the explanatory function generally attributed to (...) common causes and an existential proof is offered. Finally, the model is compared to other known structures intended to perform a similar function, such as Reichenbachian Common Cause Systems and Bayesian Networks. (shrink)

According to Reichenbach’s principle of common cause, positive statistical correlations for which no straightforward causal explanation is available should be explained by invoking the action of a hidden conjunctive common cause. Hofer-Szabó and Rédei’s notion of a Reichenbachian common cause system is meant to generalize Reichenbach’s conjunctive fork model to fit those cases in which two or more common causes cooperate in order to produce a positive statistical correlation. Such a generalization is proved to be unsatisfactory in the light of (...) a probabilistic conception of causation. Accordingly, an alternative model for systems of multiple common causes is offered, which is capable of emulating the explanatory efficacy of Reichenbachian common cause systems, while overcoming their major conceptual shortcomings at the same time. (shrink)

The principle of common cause asserts that positive correlations between causally unrelated events ought to be explained through the action of some shared causal factors. Reichenbachian common cause systems are probabilistic structures aimed at accounting for cases where correlations of the aforesaid sort cannot be explained through the action of a single common cause. The existence of Reichenbachian common cause systems of arbitrary finite size for each pair of non-causally correlated events was allegedly demonstrated by Hofer-Szabó and Rédei in 2006. (...) This paper shows that their proof is logically deficient, and we propose an improved proof. (shrink)

Van Bendegem has recently offered an argument to the effect that, if time is discrete, then there should exist a correspondence between the motions of massive bodies and a discrete geometry. On this basis, he concludes that, even if space is continuous, it should nonetheless appear discrete. This paper examines the two possible ways of making sense of that correspondence, and shows that in neither case van Bendegem’s conclusion logically follows.

The so-called no-rate argument argues that time cannot flow or pass in the literal sense of that term, because its motion can be assigned no meaningful rate. This paper examines a yet unexplored objection to the no-rate argument, which consists in showing that the argument itself is based on an extended conception of motion, according to which it is meaningful and consistent to say that time flows at no well-defined rate.

The Principle of the Common Cause is usually understood to provide causal explanations for probabilistic correlations obtaining between causally unrelated events. In this study, an extended interpretation of the principle is proposed, according to which common causes should be invoked to explain positive correlations whose values depart from the ones that one would expect to obtain in accordance to her probabilistic expectations. In addition, a probabilistic model for common causes is tailored which satisfies the generalized version of the principle, at (...) the same time including the standard conjunctive-fork model as a special case. (shrink)

O debate sobre a causalidade na filosofia árabe é extenso e se vale de diferetes tradições. O texto que aqui traduzo, a Discussão XVII do Tahafut al-falasifa (A Incoerência dos filósofos) é parte fundamantal deste debate pois mobiliza todo o arcabouço conceitual disponível até então (aristotelismo, neoplatonismo, kalam) e se torna referência obrigatória para futuras discussões.

Sobre a anterioridade de Deus com relação ao mundo no Trahafut de Averróis.

It is widely believed that relationism cannot make room for the possibility of intervals of time during which no changes occur. Benovsky has recently challenged this belief, arguing that relationists can account for the possibility of changeless time in much the same way as substantivalists do, thereby concluding that the two views are interchangeable for all theoretical purposes. This paper intends to defend the meaningfulness of the traditional dispute between substantivalists and relationists, by contending that the particular form of relationism (...) on which Benovsky has based his criticism is in fact alien to that debate. (shrink)

Il contributo si propone di indagare lo scandaglio euristico di un mezzo espressivo sempre più frequentato, il graphic novel. In ragione di ciò, analizzare l’ibridazione tra parola e immagine da un lato rispetto all’immediatezza del disegno, dall’altro in relazione al grado di approfondimento psicologico dei personaggi, permette di mettere in luce la possibilità di considerare il romanzo a fumetti come un genere letterario in dialogo con la più classica forma narrativa. Dunque, privilegiare un lavoro di stampo metodologico-teorico può porre delle (...) premesse adeguate a una successiva focalizzazione su un caso di studio. In particolare, «La linea dell’orizzonte». Un ethnographic novel sulla migrazione tra Bangladesh, Italia e Londra dialoga non soltanto con la forma romanzo in generale, ma anche con il reportage narrativo, l’autobiografia e il Bildungsroman, o romanzo di formazione. È evidente che questo stretto dialogo con la critica letteraria non possa non prendere in considerazione, oltre a uno studio dei generi letterari maggiormente in dialogo con La linea dell’orizzonte, anche un’analisi delle peculiarità stilistiche e tematiche presenti nell’ethnographic novel, con particolare attenzione al tema della migrazione. (shrink)

According to three-dimensionalism, objects persist in time by being wholly present at each time they exist; on the contrary, four-dimensionalism asserts that objects persist by having different temporal parts at different times or that they are instantaneous temporal parts of four-dimensional aggregates. Le Poidevin has argued that four-dimensionalism better accommodates two common assumptions concerning persistence and continuity; namely, that time itself is continuous and that objects persist in time in a continuous way. To this purpose, he has offered two independent (...) arguments, each of which moves from a different understanding of continuity. In this paper, both of Le Poidevin’s arguments will be discussed and rejected. (shrink)

In the controversy on the philosophical foundations of quantum mechanics Whitehead's philosophy of organism has an essential place. But its realistic position invalidates any attempt to relate it to the School of Copenhagen's “orthodox interpretation”. Unlike, the Eurhythmic Physics developed by the Lisbon School has notable theoretical tunings with Whitehead's philosophy. In both, the notion of passive matter disappears; entities are understood as ecstatic process of becoming arising from a continuum of potentialities; and they achieve physical persistence grace to a (...) set of synergistic interactions among their own regimes of rhythmical activity. The principle of Eurhythmy proposed by Prof. Croca then appears as the hypothesis, in contemporary theoretical physics, corresponding to the organicist vision of a universe in a developmental process of realization of the abstract potentiality of all possible worlds: a universe that, as a living organism, should be described as guided by an immanent teleological principle. (shrink)

Information can be public among a group. Whether or not information is public matters, for example, for accounts of interdependent rational choice, of communication, and of joint intention. A standard analysis of public information identifies it with (some variant of) common belief. The latter notion is stipulatively defined as an infinite conjunction: for p to be commonly believed is for it to believed by all members of a group, for all members to believe that all members believe it, and so (...) forth. This analysis is often presupposed without much argument in philosophy. Theoretical entrenchment or intuitions about cases might give some traction on the question, but give little insight about why the identification holds, if it does. The strategy of this paper is to characterize a practical-normative role for information being public, and show that the only things that play that role are (variants of) common belief as stipulatively characterized. In more detail: a functional role for “taking a proposition for granted” in non-isolated decision making is characterized. I then present some minimal conditions under which such an attitude is correctly held. The key assumption links this attitude to beliefs about what is public. From minimal a priori principles, we can argue that a proposition being public among a group entails common commitment to believe among that group. Later sections explore partial converses to this result, the factivity of publicity and publicity from the perspective of outsiders to the group, and objections to the aprioricity of the result deriving from a posteriori existential presuppositions. (shrink)

The received view on the problem of the direction of time holds it that time has no intrinsic dynamical properties, and that its apparent asymmetry, to be understood in purely topological terms, is dependent on the directional properties of physical processes. In this paper we shall challenge both claims, in the light of an algebraic representation of time. First, we will show how to give a precise formulation to the intuitive idea that time possesses an intrinsic dynamics; this formulation relies (...) on the fact that the algebraic properties of time can equivalently be understood in dynamical terms. Second, we shall argue that the directional properties displayed by the processes occurring in time depend on the directional properties of time, rather than the converse. (shrink)

Mereotopology is the discipline obtained from combining topology with the formal study of parts and their relation to wholes, or mereology. This article develops a mereotopological theory of time, illustrating how different temporal topologies can be effectively discriminated on this basis. Specifically, we demonstrate how the three principal types of temporal models—namely, the linear ones, the forking ones, and the circular ones—can be characterized by differently combining two sole mereotopological constraints: one to denote the absence of closed loops, and the (...) other one to denote the absence of branches. (shrink)

The idea of becoming, namely that of a unique moving present constantly shifting from past to future, is often rejected as a mere metaphor without any objective content. In this paper, a formal model is offered for temporal becoming, based on dynamical systems theory, thanks to which the dynamics of the transient present can be reduced to objective features such as the algebraic properties of the mathematical structure chosen to model time.

The problem of the direction of time is reconsidered in the light of a generalized version of the theory of abstract deterministic dynamical systems, thanks to which the mathematical model of time can be provided with an internal dynamics, solely depending on its algebraic structure. This result calls for a reinterpretation of the directional properties of physical time, which have been typically understood in a strictly topological sense, as well as for a reexamination of the theoretical meaning of the widespread (...) time-reversal invariance of classical physical processes. (shrink)

Dynamical systems are mathematical objects meant to formally capture the evolution of deterministic systems. Although no topological constraint is usually imposed on their state spaces, there is prima facie evidence that the topological properties of dynamical systems might naturally depend on their dynamical features. This paper aims to prepare the grounds for a systematic investigation of such dependence, by exploring how the underlying dynamics might naturally induce a corresponding topology.

Detractors of temporal passage often argue that it is meaningless to say that time passes or flows, else time would have to pass at a rate of one second per second, which is in fact not a rate but a number, namely one. Several attempts have been recently made to avoid this conclusion, by retorting that one second per second is in fact not identical to one. This paper shows that this kind of reply is not satisfactory, because it demands (...) a substantive revision of the algebraic behaviour of quantities. (shrink)

It is a classical argument against the objectivity of the flow of time that it would not be possible to make sense of its direction without stepping into a vicious circularity. This paper is dedicated to discuss some of the objections Tim Maudlin has recently put forward against this argument, while outlining an alternative and more effective way out of it.

Este artigo intenciona compreender a dimensão discursiva das pinturas por meio da análise do discurso ancorada em Michel Foucault. Recorta-se a figura do espelho em pinturas canônicas com vistas a observar seu funcionamento discursivo enquanto elemento do enunciado artístico visual. Apresenta três partes: a primeira, que determina o lugar ocupado pelo discurso estético nos trabalhos de Michel Pêcheux e de Michel Foucault; a segunda, que se concentra na análise de três pinturas europeias, a saber, As meninas, de Velásquez; Um bar (...) em Folies-Bergère, de Manet; e As ligações perigosas, de Magritte; e a terceira parte, que discute a intersecção entre visualidade e interdiscursividade a partir (a) das reflexões de M. Foucault acerca do discurso estético e (b) da figura do espelho presente nessas pinturas. (shrink)

Este trabalho propõe-se atingir dois objetivos: o primeiro é o de reportar para a cultura brasileira uma recente contribuição historiográfica sobre a “ambígua visão” da matéria em Galileu; o segundo é o de desenvolver algumas reflexões filosóficas a partir das sugestões presentes no imaginário do grande cientista italiano. Por um lado iremos abrir uma brecha na interpretação convencional do mecanicismo do Galileu; por outro lado, iremos propor uma operação hermenêutica que visa atualizar o imaginário especulativo de um dos pais da (...) revolução científica do século XVII através da sua comparação com a filosofia do organismo do Alfred North Whitehead - o qual propôs a sua doutrina em alternativa ao mecanicismo materialista -, e com a “física eurítmica”, ou “física do devir”, defendida por José N. R. Croca e o seu grupo de investigação. De facto Galileu, na sua reforma da imagem escolástica do mundo, enfrentou o paradoxo da conciliação do continuo matemático com o atomismo físico, esboçando uma invulgar “solução emergentista”. Desvendar o horizonte metafisico do pensamento do Galileu facultará-nos um acesso histórico filosófico original as questões mais controversas da filosofia da ciência moderna e da mecânica quântica. (shrink)