In a fragment entitled Elementa Nova Matheseos Universalis Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is (...) possible at least in principle. As a general science of forms the mathesis investigates possible relations between “arbitrary objects”. It is an abstract theory of combinations and relations among objects whatsoever. In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the “reasons” of others, and the latter are “consequences” of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory. The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification. (shrink)

Quantification is particularly seductive in times of global uncertainty. Not surprisingly, numbers, indicators, categorizations, and comparisons are central to governmental and popular response to the COVID-19 pandemic. This essay draws insights from critical data studies, sociology of quantification and decolonial thinking, with occasional excursion into the biomedical domain, to investigate the role and social consequences of counting broadly defined as a way of knowing about the virus. It takes a critical look at two domains of human activity that play a (...) central role in the fight against the virus outbreak, namely medical sciences and technological innovation. It analyzes their efforts to craft solutions for their user base and explores the unwanted social costs of these operations. The essay argues that the over-reliance of biomedical research on “whiteness” for lab testing and the techno-solutionism of the consumer infrastructure devised to curb the social costs of the pandemic are rooted in a distorted idea of a “standard human” based on a partial and exclusive vision of society and its components, which tends to overlook alterity and inequality. It contends that to design our way out of the pandemic, we ought to make space for distinct ways of being and knowing, acknowledging plurality and thinking in terms of social relations, alterity, and interdependence. (shrink)

We examined how people think about how things could have turned out differently after they made a decision to cooperate or not in three social interactions: the Prisoner’s dilemma (Experiment 1), the Stag Hunt dilemma (Experiment 2), and the Chicken game (Experiment 3). We found that participants who took part in the game imagined the outcome would have been different if a different decision had been made by the other player, not themselves; they did so whether the outcome was good (...) or bad for them, their own choice had been to cooperate or not, and the other player’s choice had been to cooperate or not. Participants who only read about a fictional protagonist’s game imagined changes outside the protagonist’s control (such as the other player’s decision) after a good outcome but within the protagonist’s control (such as the protagonist’s decision) after a bad outcome. The implications for theories of counterfactual thinking and moral decision-making are discussed. (shrink)

The chemist and philosopher Michael Polanyi was one of the first twentieth-century scientists to propose a program to resolve the internal conflict of the modern Enlightenment: scientific detachment and moral nihilism with humanist values. Stefania Jha’s intellectual biography places Polanyi in the context of his time and culture, analyzes his key philosophical ideas, and explicates the application—and at times misappropriation—of his work. Polanyi’s method was not laid out in his published works, and his vocabulary tends to make his writings (...) difficult to understand. By exposing the structure of his theory of tacit knowing, and by tracing the growth of his thinking, Jha shows how the various elements of his thought are integrated. Through examination of his philosophical roots in Kant and the complexity of his evolving thought, she counteracts the popular notion that Polanyi’s philosophy stands apart from the western philosophic tradition. Jha’s deep analysis makes Polanyi’s shift of focus from science to philosophy more intelligible, his philosophy more approachable, and the causes he championed—such as the freedom of science and cultural freedom—more understandable. Applying his notion of tacit knowing in practical directions, Jha seeks to bring the study of Polanyi’s philosophy out of the specialists’ enclave and into such fields as ethics and clinical medicine. (shrink)

Stefania Tutino shows that post-Reformation Catholic culture was a rich laboratory for our current moral and hermeneutical anxieties.

Cette étude se propose de vérifier l’efficacité des collocations en tant qu’indice pour distinguer les genres textuels. De plus, elle a le double objectif d’aborder l’exploration de la variabilité de l’italien en utilisant des méthodologies computationnelles, et de vérifier l’efficacité d’une nouvelle mesure d’association dans l’étude des collocations.Quatre typologies de collocations ont été analysées (verbe-nom, nom-adjectif, nom-nom et nom-préposition-nom) dans six genres textuels différents, dont trois sont écrits (textes littéraires, textes académiques et compositions scolaires) et trois sont oraux (conversations, discours (...) et dialogues filmiques).La fréquence des collocations dans les différents genres montre que chaque typologie de texte a des préférences spécifiques pour des typologies de collocations spécifiques; la seule fréquence et la seule distinction entre textes écrits et oraux, toutefois, ne réussit pas à interpréter cette différente distribution selon un modèle cohérent. A cet effet, la mesure statistique de la gravité lexicale semble posséder une efficacité majeure, comme nous essayerons de démontrer. (shrink)

Cette étude se propose de vérifier l’efficacité des collocations en tant qu’indice pour distinguer les genres textuels. De plus, elle a le double objectif d’aborder l’exploration de la variabilité de l’italien en utilisant des méthodologies computationnelles, et de vérifier l’efficacité d’une nouvelle mesure d’association dans l’étude des collocations.Quatre typologies de collocations ont été analysées (verbe-nom, nom-adjectif, nom-nom et nom-préposition-nom) dans six genres textuels différents, dont trois sont écrits (textes littéraires, textes académiques et compositions scolaires) et trois sont oraux (conversations, discours (...) et dialogues filmiques).La fréquence des collocations dans les différents genres montre que chaque typologie de texte a des préférences spécifiques pour des typologies de collocations spécifiques; la seule fréquence et la seule distinction entre textes écrits et oraux, toutefois, ne réussit pas à interpréter cette différente distribution selon un modèle cohérent. A cet effet, la mesure statistique de la gravité lexicale semble posséder une efficacité majeure, comme nous essayerons de démontrer. (shrink)

We describe a first experiment on whether product complexity affects competition and consumers in retail markets. We are unable to detect a significant effect of product complexity on prices, except insofar as the demand elasticity for complex products is higher. However, there is qualified evidence that complex products have the potential to induce consumers to buy more than they would otherwise. In this sense, consumer exploitability in quantities cannot be ruled out. We also find evidence for shaping effects: consumers’ preferences (...) are shaped by past experience with prices, and firms may in principle exploit this to sell more. (shrink)

BackgroundSeveral investigations have addressed the process of balance adaptation to external perturbations. The adaptation during unperturbed stance has received little attention. Further, whether the current sensory conditions affect the adaptation rate has not been established. We have addressed the role of vision and haptic feedback on adaptation while standing on foam.MethodsIn 22 young subjects, the analysis of geometric and spectral variables of the oscillation of the centre of feet pressure identified the effects of vision, light-touch or both in the anteroposterior (...) and mediolateral direction over 8 consecutive 90 s standing trials.ResultsAdaptation was obvious without vision and tenuous with vision. With trial repetition, path length and median frequency diminished with EC while sway area and mean level of the spectrum increased. The low- and high-frequency range of the spectrum increased and decreased in AP and ML directions, respectively. Touch compared to no-touch enhanced the rate of increase of the low-frequency power. Spectral differences in distinct sensory conditions persisted after adaptation.ConclusionBalance adaptation occurs during standing on foam. Adaptation leads to a progressive increase in the amplitude of the lowest frequencies of the spectrum and a concurrent decrease in the high-frequency range. Within this common behaviour, touch adds to its stabilising action a modest effect on the adaptation rate. Stabilisation is improved by favouring slow oscillations at the expense of sway minimisation. These findings are preliminary to investigations of balance problems in persons with sensory deficits, ageing, and peripheral or central nervous lesion. (shrink)

In management literature, intellectual capital is considered the key driver of the competitive advantage of the third millennium enterprise firm; consequently, measuring, managing and reporting IC has become a critical issue. Frameworks addressed to measure and report IC have proliferated, nevertheless the adoption of these frameworks is not so widespread in practice. The strong call for critically investigating IC practices has been raised by several leading authors in the area. Doing a critical and performative IC research means empirically researching IC (...) organisational practices in specific contexts, in order to increase the understanding of the IC dynamics. By critically analysing the IC practices of ANPAS Piemonte, an Italian non-profit organisation chosen for its long-standing experience in issuing audited IC reports, the article contributes to the knowledge of how and why IC is measured and reported in a specific, outstanding NPO disclosing IC. Moreover, the case study analysis contributes to shed lights on the levers and barriers that should be faced by other managers intending to implement and effectively use an IC measurement, management and reporting system within organisation. (shrink)

This article approaches the paradigm shift of datafication from the perspective of civil society. Looking at how individuals and groups engage with datafication, it complements the notion of “data politics” by exploring what we call the “contentious politics of data”. By contentious politics of data we indicate the bottom-up, transformative initiatives interfering with and/or hijacking dominant processes of datafication, contesting existing power relations or re-appropriating data practices and infrastructure for purposes distinct from the intended. Said contentious politics of data is (...) articulated in an array of practices of data activism taking a critical stance towards datafication. In data activism, data as mediators take a central role, both as part of an action repertoire or as objects of struggle in their own right. Leveraging social movement studies and science and technology studies, this theoretical essay argues that data activism can be mapped along two analytical dimensions: “data as stakes” vs. “data as repertoires”, and “individual practice vs. collective action”. Mapping action repertoires and tactics along these axes allows us to chart the potential emergence of a political data subject at the intersection of these two dimensions. This furthers our understanding of people’s engagement with data in relation to other forms of activism and existing work in social movement studies. It also helps us interpreting potential trajectories of contemporary social movements, as they increasingly interface with data, devices and platforms. (shrink)

In the present paper, we discuss Husserl's deep account of the notions of ?calculation? and of arithmetical ?operation? which is found in the final chapter of the Philosophy of Arithmetic, arguing that Husserl is as far as we know the first scholar to reflect seriously on and to investigate the problem of circumscribing the totality of computable numerical operations. We pursue two complementary goals, namely: (i) to provide a formal reconstruction of Husserl's intuitions, and (ii) to demonstrate on the basis (...) of our reconstruction that the class of operations that Husserl has in mind turns out to be extensionally equivalent to the one that, in contemporary logic, is known as the class of partial recursive functions. (shrink)

In the multi-agent setting, it is relevant to model group dynamics of agents, and logic has proved a good tool to do so. We propose an epistemic logic, L-DINF-E, that allows one to formalize what are the beliefs formed by a group of agents, where several groups exist and agents can pass from a group to another one. We introduce a new modality which allows an agent to reason about the beliefs of other agents. This allows us to model aspects (...) of the “Theory of Mind”, understood as the set of social-cognitive skills involving the ability to attribute and reason about mental states, desires, beliefs, and knowledge of agents. In this paper, we present the logic L-DINF-E and illustrate how it can be used to solve “false-belief tasks”, i.e., tests in which an agent should understand that some other agent may develop, under some circumstances, false beliefs. (shrink)

Yinshun is regarded as one of the most eminent monks in twentieth-century Chinese Buddhism. Previous research has argued that Yinshun especially undertook the mission of writing new commentaries on Madhyamaka texts. His efforts provoked a revival of interest towards the Madhyamaka school among contemporary Chinese Buddhists, and a re-assessment of the position of the writings of N?g?rjuna within the history of Chinese Buddhism. This article focuses on Yinshun’s restatement of the nature of the M?lamadhyamakak?rik?, a text that has always been (...) regarded as fundamental in the Madhyamaka/San-lun tradition in China. The first part analyzes Yinshun’s textual study of the M?lamadhyamakak?rik?, examining his approach to the text, and how he came to terms with previous Chinese traditional textual scholarship and canonical scriptures. The second part discusses Yinshun’s interpretation of the text by moving away from the micro-context of Chinese San-lun scholarship, and addressing the macro-context of the modern Chinese understanding of the Mah?y?na. (shrink)

In two experiments, we investigated whether 13-month-old infants expect agents to behave in a way consistent with information to which they have been exposed. Infants watched animations in which an animal was either provided information or prevented from gathering information about the actual location of an object. The animal then searched successfully or failed to retrieve it. Infants’ looking times suggest that they expected searches to be effective when—and only when—the agent had had access to the relevant information. This result (...) supports the view that infants’ possess an incipient metarepresentational ability that permits them to attribute beliefs to agents. We discuss the viability of more conservative explanations and the relationship between this early ability and later forms of ‘theory of mind’ that appear only after children have become experienced verbal communicators. (shrink)

Four studies show that observers and readers imagine different alternatives to reality. When participants read a story about a protagonist who chose the more difficult of two tasks and failed, their counterfactual thoughts focused on the easier, unchosen task. But when they observed the performance of an individual who chose and failed the more difficult task, participants' counterfactual thoughts focused on alternative ways to solve the chosen task, as did the thoughts of individuals who acted out the event. We conclude (...) that these role effects may occur because participants' attention is engaged when they experience or observe an event more than when they read about it. (shrink)

In an experiment on markets for services, we find that consumers are likely to stick to default tariffs and achieve suboptimal outcomes. We find that inattention to the task of choosing a better tariff is likely to be a substantial problem in addition to any task and tariff complexity effect. The institutional setup on which we primarily model our experiment is the UK electricity and gas markets, and our conclusion is that the new measures by the UK regulator Ofgem to (...) improve consumer outcomes are likely to be of limited impact. (shrink)

The paper discusses inappropriate (futile) treatment by analyzing the casuistics of palliative patients in the terminal stage of illness who are hospitalized at the Department of Internal Medicine and Geriatrics of the Faculty hospital with policlinic (FNsP). Our research applies the principles of palliative care in the context of bioethics. The existing clinical conditions of healthcare in Slovakia are characteristic of making a taboo of the issues of inappropriate treatment of palliative patients. Inductive-deductive and normative clinical bioethics methods of palliative (...) care and ethical strategy are applied for defining issues found in inappropriate hemodialysis treatment. An algorithm of hemodialysis treatment requires the definition of those lege artis criteria which, in the context of a patient’s autonomy and his/her decision, precondition the avoidance of the situation in which hemodialysis treatment is inappropriate (futile). Futile treatment in a terminal condition is ethically inappropriate medical treatment that extends the suffering of patients and their relatives. Its definition is determined by the relevant legislation and the methods of bioethics. An active palliative strategy is aimed at managing the process of incurable diseases in the patient’s bio-psycho-socio-spiritual continuity in the process of special bioethics. The global bioethical objective of general bioethics for palliative care is based on the paradigm of social harmony and solidarity in the context of an authentic modus of the patient’s existence as a constitutive principle for the phenomenon of the patient’s being to finite being (death). (shrink)

From the thirteenth century to early modern times, Venetian church interiors gleamed with brilliant gold and silver altarpieces and frontals, enlivening dim naves and providing awe-inspiring backdrops for the celebration of the liturgy. Grand in scale and materially sumptuous, these artworks were ingenious viewing machines. Many could be opened and closed horizontally to reveal and conceal multiple layers of imagery. When closed, they were further screened behind purpose-made panel paintings, called contropale or pale feriali. These multimedia ensembles - the best (...) known of which is formed by San Marco’s Pala d’Oro and Pala Feriale - played a vital role as intermediaries between architecture and rite, and they represented the radiant core of rich religious rituals that dramatized Christian notions of divine revelation. Yet, despite their attraction, Venetian gold and silver pale remain insufficiently studied. This article brings an initial analysis of these artifacts into dialogue with broader art historical debates about the materiality and the performativity of medieval artworks. By doing so, it demonstrates the significance of gold and silver pale in defining Venice’s religious and aesthetic cityscape, and it lays the methodological groundwork for future research into these complex artifacts and their environment. (shrink)

Cet article se focalise sur un aspect précis du concept de temps dans l’éducation, sur les priorités que les temps futurs de l’éducation doivent choisir comme les directions les plus pertinentes pour nos sociétés. Les temps structurent et accompagnent la vie de chacun, marquent le passage entre les générations et deviennent un indicateur du développement des sociétés. Le rôle de la réflexion sur l’éducation est de s’atteler aux problématiques qui se dessinent à chaque période, et lui sont liées en termes (...) d’époque spécifique. Ceci implique d’ouvrir les frontières de la recherche vers des objets toujours vus comme nouveaux, au moins en partie, et d’envisager des opportunités et des défis importants et urgents, en ce que par leur condition de nouveauté, ces éléments inattendus sont susceptibles de former un projet tourné vers l’avenir. Au cours de cette réflection, nous proposons d’imaginer des futurs dans lesquels la résilience aux changements profonds et aux mutations complexes est présente. Celle-ci implique d’engager une réflexion sur l’avenir des connaissances et des valeurs qui sont plus importantes et urgents pour les savoirs et pour les sociétés. (shrink)

Lakatos is considered to be a Popperian who adapted his Hegelian-Marxist training to critical philosophy. I claim this is too narrow and misses Lakatos' goal of understanding scientific inquiry as heuristic inquiry—something he did not find in Popper, but found in Polanyi. Archival material shows that his ‘new method' struggled to overcome what he saw as the Popperian handicap, by using Polanyi.

Uncertainty in Post-Reformation Catholicism provides a historical account of early modern probabilism and its theological, intellectual, and cultural implications. First developed in the second half of the sixteenth century, probabilism represented a significant and controversial novelty in Catholic moral theology. By the second half of the seventeenth century, probabilism became and has since been associated with moral, intellectual, and cultural decadence. Stefania Tutino challenges this understanding and claims that probabilism played a central role in addressing the challenges that geographical (...) and cultural expansions posed to traditional Catholic theology. Tutino argues that early modern theologians used probabilism to integrate major changes within the post-Reformation Catholic theological and intellectual system. Probabilist theologians realized that their time was characterized by many changes that traditional theology was not equipped to deal with, which consequently provoked an exponential growth of uncertainties, doubts, and dilemmas of conscience. Probabilism represented the result of their efforts to appreciate, come to terms with, and manage that uncertainty. Uncertainty in Post-Reformation Catholicism reinterprets probabilism as a way of dealing with moral and epistemological doubts in quickly changing times, a way that still may be useful today. Uncertainty in Post-Reformation Catholicism argues that probabilism played a central role in addressing the challenges that a geographically and intellectually expanding world posed to traditional Catholic theology. Early modern probabilist theologians realized that their time was characterized by many changes and novelties that traditional theology was not equipped to deal with, and that consequently provoked an exponential growth of uncertainties, doubts, and dilemmas of conscience. These theologians used probabilism as a means to integrate changes and novelties within the post-Reformation Catholic theological and intellectual system. Seen in this light, probabilism represented the result of their attempts to appreciate, come to terms with, and manage uncertainty. The problem of uncertainty was not only crucial then, but remains central even today. Despite the unprecedented amount of information available to us, we are becoming less able to formulate arguments based on facts, and more dependent on a cacophony of opinions that often simply reproduce our own implicit or explicit biases, prejudices, and preconceived preferences. (shrink)

Yinshun (1906–2005) is regarded as one of the eminent monks of twentieth-century Chinese Buddhism. In the mission of reinventing Chinese Buddhism Yinshun engaged particularly in the revival and restatement of Madhyamaka. His interpretation of Nāgārjuna's texts, the reassessment of the links between pre-Mahāyāna Buddhism and the Prajn˜āpāramitā tradition, and the critical analysis of the Chinese San-lun became the core of the new Mahāyāna that he planned for the twentieth-century China. Yinshun also adopted Madhyamaka criteria to reconsider the Mahāyāna schools that (...) were popular in China, and theorized a Madhyamaka-framed Pure Land based on his reading of the Shizhu piposha lun [T26 n1521]. This article discusses Yinshun's views on the Easy Path (yixing dao) and Difficult Path (nanxing dao) in the Pure Land practice, and contextualizes Yinshun's interpretation within the past history of the Chinese Pure Land School, as well as within the new debates on Pure Land that emerged in twentieth-century China. (shrink)

This book presents a unique rethinking of G. W. F. Hegel's philosophy from unusual and controversial perspectives in order to liberate new energies from his philosophy. The role Hegel ascribes to women in the shaping of society and family, the reconstruction of his anthropological and psychological perspective, his approach to human nature, the relationship between mental illness and social disease, the role of the unconscious, and the relevance of intercultural and interreligious pathways: All these themes reveal new and inspiring aspects (...) of Hegel’s thought for our time. (shrink)

By providing an interdisciplinary reading of advance directives regulation in international, European and domestic law, this book offers new insights into the most controversial legal issues surrounding the debate over dignity and autonomy ...

SummaryThis study examines local heterogeneity in the aptitude of Sardinian mothers towards late reproduction, and explores its temporal persistence and association with both post-reproductive longevity and propensity to consanguineous marriage. Data on women's fertility from 1961 and birth records for 1980–1996 from Vital Statistics were analysed by means of the following indicators: the incidence of old mothers at last childbirth, female mortality at 80 years of age and over and the proportion of consanguineous marriages. A variable kernel-smoothing method was used (...) to create interpretable representations of the true spatial structure of the indicators, and to highlight areas of higher than expected intensity. In particular, an area of reproductive and post-reproductive longevity was identified where the traits combine with a higher tendency to relatedness. Intriguingly, this area corresponds approximately to the geographically and historically well defined central-eastern zone, which was the refuge of Sardinians during past invasions, and overlaps the Ogliastra region, which has been widely studied for its genetic homogeneity. (shrink)

Humans perceive time with millisecond precision. However, when experiencing negative or fearful events, time appears to slow down and aversive events are judged to last longer than neutral or positive events of equal duration. Feelings of control have been shown to attenuate increases in arousal triggered by anxiety-provoking events. Here, we tested whether feelings of control can go as far as influencing people’s perception of the world, by modulating the perceived duration of aversive events. Observers judged the duration of images (...) depicting positive or negative content, and we manipulated the amount of control experienced by participants. Crucially, participants never had any real control over events. All control was illusory. Results showed that when participants experienced low levels of control, negative images were judged as lasting longer than positive images. However, when participants illusorily experienced high levels of control, they no longer experienced aversive negative images as lasting longer than positive images. (shrink)