Games associated with congestion situations à la Rosenthal have pure Nash equilibria. This result implicitly relies on the existence of a potential function. In this paper we provide a characterization of potential games in terms of coordination games and dummy games. Second, we extend Rosenthal's congestion model to an incomplete information setting, and show that the related Bayesian games are potential games and therefore have pure Bayesian equilibria.

Emotions and personhood are important notions within the field of mental health care. How they are related is less evident. This book provides a framework for understanding the important and complex relationship between our emotional wellbeing and our sense of self, drawing on psychopathology, philosophy, and phenomenology.

Persons with borderline personality disorder are often described as affected by extreme emotional fluctuations and by the sudden emergence of uncontrollable and disproportionate emotional reactions. Borderline persons frequently experience their own self as dim and fuzzy, are deprived of a stable sense of identity and unable to be steadily involved in a given life project. We will interpret these typical features as fluctuations between a clearly normative emotion such as anger and the more diffuse and confusing background of bad moods (...) like dysphoria. Our main focus will be on dysphoria. The intentional structure that characterizes much of human emotional experience, we shall argue, is absent in dysphoria. If we imagine emotions as fluxes of intentionality that innervate the body and connect it to the world, dysphoria is empty intentionality, so to speak, devoid of the moderating power of language and representation. Dysphoria exerts a centrifugal force which fragments the borderline person's representations of herself and of others, inducing a painful experience of incoherence and inner emptiness, a feeling of uncertainty and inauthenticity in interpersonal relationships, and an excruciating sense of futility and inanity of life. But it also entails a sense of vitality, although a disorganized, aimless, and explosive one -- a desperate vitality. (shrink)

According to Leibniz’s infinite-analysis account of contingency, any derivative truth is contingent if and only if it does not admit of a finite proof. Following a tradition that goes back at least as far as Bertrand Russell, several interpreters have been tempted to explain this biconditional in terms of two other principles: first, that a derivative truth is contingent if and only if it contains infinitely complex concepts and, second, that a derivative truth contains infinitely complex concepts if and only (...) if it does not admit of a finite proof. A consequence of this interpretation is that Leibniz’s infinite-analysis account of contingency falls prey to Robert Adams’s Problem of Lucky Proof. I will argue that this interpretation is mistaken and that, once it is properly understood how the idea of an infinite proof fits into Leibniz’s circle of modal notions, the problem of lucky proof simply disappears. (shrink)

This paper discusses a claim by Clifton and Halvorson (2001) that, contrary to non-relativistic quantum mechanics, local operations can never destroy entanglement in relativistic quantum field theory. The impossibility of achieving local disentanglement would raise a threat for the mutual independence between microscopic subsystems. Here, we observe that Clifton and Halvorson no-go result rests on an unnecessarily strong notion of local operations, which we label absolutely local operations, and we argue that a weaker notion, namely that of relatively local operations, (...) is sufficient to guarantee that acting on one subsystem does not have non-local effects on another spacelike separated subsystem. We then show that one can achieve local disentanglement in relativistic quantum field theory by means of relatively local operations. In fact, we prove that, under the split property, there exists a class of disentangling relatively local operations. (shrink)

Theoria, Volume 88, Issue 4, Page 733-742, August 2022.

Euler developed a program which aimed to transform analysis into an autonomous discipline and reorganize the whole of mathematics around it. The implementation of this program presented many difficulties, and the result was not entirely satisfactory. Many of these difficulties concerned the integral calculus. In this paper, we deal with some topics relevant to understand Euler’s conception of analysis and how he developed and implemented his program. In particular, we examine Euler’s contribution to the construction of differential equations and his (...) notion of indefinite integrals and general integrals. We also deal with two remarkable difficulties of Euler’s program. The first concerns singular integrals, which were considered as paradoxical by Euler since they seemed to violate the generality of certain results. The second regards the explicitly use of the geometric representation and meaning of definite integrals, which was gone against his program. We clarify the nature of these difficulties and show that Euler never thought that they undermined his conception of mathematics and that a different foundation was necessary for analysis. (shrink)

Cross-temporal grounding is a type of grounding whereby present facts about the past (for example that Caesar was alive) are explained in terms of past facts (for example that Caesar is alive) rather than in terms of other present facts. This paper lays the foundations for a theory of cross-temporal grounding. After introducing the general idea of a type of grounding connecting facts to past facts, we offer two arguments that past-directed facts require cross-temporal grounds—the ‘argument from intimacy’ and the (...) ‘argument from past explanation’. We then go on to show that cross-temporal grounding statements can be understood as instances of a type of explanation which is perfectly legitimate and intelligible, even if somewhat unusual. Finally, we explain how the logic of grounding can be extended to accommodate cross-temporal grounding statements. (shrink)

The paper reconstructs the concept of culture that emerges from Heinrich Rickert?s neo-Kantianism, uncovering its major historical-problematic, methodological, and philosophical implications. The central theme of the first section is the idea that modern culture is uniquely characterized by?fragmentation?. It also unpacks the programme of Rickert?s philosophy of culture, which pursues the task of reconstructing the lost unity of culture. The second section explains the methodological implications of the problematic relationship between value and reality established in cultural goods and evaluations. Finally, (...) the third section reconstructs the Rickertian system of values, with its peculiar effort to reconcile historicity and value absoluteness. The last part develops a critical discussion of the Rickertian project. (shrink)

Riassunto: Questo lavoro sviluppa due elementi, apparentemente lontani, ma per alcuni aspetti non secondari, convergenti. Per un verso l’attenzione è rivolta all’origine delle regole che disciplinano il comportamento sociale umano, oltrepassando le regole di matrice istituzionale e convenzionale, che sono spesso considerate le più nobili e le più umane, nel tentativo di far affiorare le regole più remote del nostro agire, legate al patrimonio genetico degli individui della nostra specie, al parlamento dei nostri istinti, sviluppatisi durante l’evoluzione filogenetica. Lungo questo (...) primo tratto del percorso l’articolo fa riferimento in particolare al pensiero di Konrad Lorenz e della sua scuola. Per altro verso, si seguono le tracce del pensiero etico di Lévinas, soffermandosi su alcuni punti fondamentali: il volto dell’altro, la passività, la responsabilità, al fine di porre in evidenza come tra il filosofo e l’etologo, pur nelle evidenti differenze di linguaggio, di approccio e di orizzonti, siano ravvisabili tratti e conclusioni comuni. Parole chiave: Alterità; Relazione; Istinto; Etica; Responsabilità Autrui: Ethics and anthropology in Lévinas: This paper moves along two seemingly distant paths, that turn out to converge in some significant ways. The first path leads us to the origin of what are often considered the most noble and essentially human principles that regulate our social behaviour, going beyond institutional and conventional norms. This allows us to highlight the deepest and most evolutionarily remote rules of human behaviour, related to our genetic code and instincts, which developed over phylogenetic evolution. As we move along this first path, we pay special attention to the work of Konrad Lorenz and his school. The second path follows the traces of Lévinas’ ethical thought, dwelling on some fundamental issues: the face of the other, passivity, and responsibility, and helps us shed light on some ideas and conclusions that are common to the philosopher and the ethologist, despite their clear differences in language, approach, and horizons. We hope this will show how the insights of each can be used to support of the theories of the other. Keywords: Otherness: relationship; Instinct; Ethics; Responsibility. (shrink)

ABSTRACT We characterize, for every subvariety V of the variety of all MV- algebras, the free objects in V. We use our results to compute coproducts in V and to provide simple single-axiom axiomatizations of all many-valued logics extending the Lukasiewicz one.

In this paper, I will defend a communitarian perspective on the so-called “hinge propositions” (hinges, for short). Accordingly, I will argue that hinges play a normative role, in the sense that, among other things, they govern the mechanisms of social inclusion/exclusion. In particular, I will examine the so-called “religious hinges”; and I will argue that such hinges, being the product of mere indoctrination, are particularly effective in shaping boundaries among communities. Finally, with the help of Peter Munz's theory of altruism, (...) I will attempt to explain why religious hinges play the role they do. (shrink)

In this article, we shall study the mechanism of the Shroud body image formation with the help of both natural sciences and religion. The various possibilities can be divided into three groups of hypothesis: the first one is that of the fake, the second is the miracle and the third one of the natural event. The first hypothesis is discarded by the interdisciplinary work of the STURP team. Their results do not support the hypothesis that the blood stains and the (...) body image are due to a forger. In our opinion, even if the Miracle by God is possible, the proposed hypotheses of the supernatural event are theologically unacceptable. So, the natural one remains well supported by the “Ockham’s razor”. Obviously, this last model must be verified by experimental evidence. However, this result is not contrary to the hypothesis that the body image is the one of the Nazarene. (shrink)

Exploration into the concept, origins and meaning of place, taking Delphi, Rome and Jerusalem as principle examples.

In the second half of the seventeenth century, philosophy teaching in the Scottish universities gradually moved from scholasticism to Cartesianism. Robert Forbes, regent at Marischal College and King's College, Aberdeen, was a strenuous opponent of Descartes. The analysis of the philosophy of Forbes and of his teacher Patrick Gordon sheds light on the relationship between Scottish Reformed scholasticism and the reception of Descartes in Scotland.

In intuitionistic generalized predicative systems as constructive set theory, or constructive type theory, two categories have been proposed to play the role of the category of locales: the category FSp of formal spaces, and its full subcategory FSpi of inductively generated formal spaces. Considered in impredicative systems as the intuitionistic set theory IZF, FSp and FSpi are both equivalent to the category of locales. However, in the mentioned predicative systems, FSp fails to be closed under basic constructions such as that (...) of finite products, while FSpi is complete , but does not contain some naturally occurring classes of formal spaces. Moreover, completeness of FSpi only holds under the assumption of strong principles for the existence of inductively defined sets.In this paper, working in the context of constructive set theory, the category ImLoc of imaginary locales is introduced. ImLoc is complete already over weak formulations of constructive set theory, contains FSp and FSpi as full subcategories, and, as FSp and FSpi, is equivalent to the category of locales in IZF.Applications of the concept of imaginary locale to a proof of a point-free version of Tychonoff embedding theorem, and to set-representation theorems, are then presented. (shrink)

The theologians of the late German Enlightenment saw in Kant's Critique of Pure Reason a new rational defence of their Christian faith. In fact, Kant's critical theory of meaning and moral law totally subverted the spirit of that faith. This challenging new study examines the contribution made by the Critique of Pure Reason to this change of meaning. George di Giovanni stresses the revolutionary character of Kant's critical thought but also reveals how this thought was being held hostage to (...) unwarranted metaphysical assumptions that caused much confusion and rendered the First Critique vulnerable to being reabsorbed into modes of thought typical of Enlightenment popular philosophy. Amongst the striking features of this book are nuanced interpretations of Jacobi and Reinhold, a lucid exposition of Fichte's early thought, and a rare, detailed account of Enlightenment popular philosophy. (shrink)

Ce texte est issu d'un atelier transdisciplinaire tenu à l'Università Cattolica del Sacro Cuore – Dipartimento di Sociologia – Gruppo Interstizi & Intersezioni – Milano – 22/04/2010. Il a déjà paru dans NewsMAGAZINE, n° 18, estate 2010. On en trouvera également une version un peu différente dans le fichier ci-joint. Nous remercions Giovanni Gasparini de nous avoir autorisé à le reproduire ici. Quella valanga d'avvenimenti simultanei che chiamiamo l'universo non travolge il fortunato che sa (...) - Sociologie – Nouvel (...) article. (shrink)

In his writings about hypergeometric functions Gauss succeeded in moving beyond the restricted domain of eighteenth-century functions by changing several basic notions of analysis. He rejected formal methodology and the traditional notions of functions, complex numbers, infinite numbers, integration, and the sum of a series. Indeed, he thought that analysis derived from a few, intuitively given notions by means of other well-defined concepts which were reducible to intuitive ones. Gauss considered functions to be relations between continuous variable quantities while he (...) regarded integration and summation as appropriate operations with limits. He also regarded infinite and infinitesimal numbers as a façon de parler and used inequalities in order to prove the existence of certain limits. He took complex numbers to have the same legitimacy as real quantities. However, Gauss’s continuum was linked to a revised form of the eighteenth-century notion of continuous quantity: it was not reducible to a set of numbers but was immediately given. (shrink)

This paper deals with two important English scientists of the first half of the twentieth century: Edward Arthur Milne and James Hopwood Jeans. It examines the philosophical reasons that, in 1932, induced Milne to devote himself to the newborn modern cosmology. Among those reasons, it is argued that the most important ones were some of Jeans’ philosophical statements regarding the new relativistic view of the expanding universe. In particular, Milne reacted to some confusing idealist opinions expressed by Jeans in the (...) London newspaper The Times, in May 1932, in a debate on the expansion of the universe. Actually, as it will be shown, Jeans received many criticisms about the philosophical reasonings present in all of his popularizing works. (shrink)

One key issue when conceiving the body as a multisensory object is how the cognitive system integrates visible instances of the self and other bodies with one’s own somatosensory processing, to achieve self-recognition and body ownership. Recent research has strongly suggested that shadows cast by our own body have a special status for cognitive processing, directing attention to the body in a fast and highly specific manner. The aim of the present article is to review the most recent scientific contributions (...) addressing how body shadows affect both sensory/perceptual and attentional processes. The review examines three main points: (1) body shadows as a special window to investigate the construction of multisensory body perception; (2) experimental paradigms and related findings; (3) open questions and future trajectories. The reviewed literature suggests that shadows cast by one’s own body promote binding between personal and extrapersonal space and elicit automatic orienting of attention toward the body-part casting the shadow. Future research should address whether the effects exerted by body shadows are similar to those observed when observers are exposed to other visual instances of their body. The results will further clarify the processes underlying the merging of vision and somatosensation when creating body representations. (shrink)

In this paper a post-Kantian theory of scientific concepts is proposed. In particular, by differentiating the representational level, the intentional level and the real level, it is argued that a scientific concept has to be understood both as a representation and as a rule.

The paper explores Kant’s attitude toward existence in the Critique of Pure Reason. It has two main goals: first, it argues that Kant’s criticisms of the ontological argument might be vitiated by an ambivalence toward existence, and then it attempts to provide a solution to the ambivalence in question. Finally, since my reading of Kant assumes that for him, existence is governed by the rule of existential generalization, I also prove the following biconditional: existence is not a real predicate i (...) existential generalization is valid. (shrink)

Sante De Sanctis (1862—1935), a pioneer of psychology in Rome at the end of the 19th century, applied methods from the expanding field of experimental psychology to the study of dreams, which was considered one of the leading ways to gain an understanding of normal and pathological psychic life. Taking inspiration from several traditions, De Sanctis proposed a study that anticipated a scientific program that also differentiated between contemporary psychoanalytical interpretations according to which previous dream psychology was considered a 'dark (...) forest'. On the contrary, the multi-faceted methodology that he adopted for the study of an, until then, marginal phenomenon of the 'new' psychology, represented an element of originality that also included the elaboration of a psycho-physiological theory of dreams. Although the Italian psychologist's work on dreams was characterized by these important methodological changes, it disappeared from the references of those who contributed to the foundation of modern dreaming psychology after the Second World War. The present article places De Sanctis' psychology of dreams in its scientific context and singles out its originality while also analyzing the reasons for its marginalization. (shrink)

The debate on the ontological status of spacetime in General Relativity has historically seen two principal philosophical contenders: substantivalism, roughly the view that holds that spacetime exists apart from the material contents of the universe, and relationism, the doctrine that spacetime does not exist, i.e., it is a mere abstract web of spatiotemporal relations among bodies. This dispute, however, has rarely been fought on a cosmological battlefield. In this paper an attempt in this direction is made. The question at issue (...) is the following: is there any feature of our universe that requires or is best explained in terms of a substantival space? I claim that there is indeed: the expansion of the universe, perhaps the most important phenomenon in cosmology, can play such a role. (shrink)