Semantic theories based on a hierarchy of types have prominently been used to defend the possibility of unrestricted quantification. However, they also pose a prima facie problem for it: each quantifier ranges over at most one level of the hierarchy and is therefore not unrestricted. It is difficult to evaluate this problem without a principled account of what it is for a quantifier to be unrestricted. Drawing on an insight of Russell’s about the relationship between quantification and the structure of (...) predication, we offer such an account. We use this account to examine the problem in three different type-theoretic settings, which are increasingly permissive with respect to predication. We conclude that unrestricted quantification is available in all but the most permissive kind of type theory. (shrink)

Workplaces are often described as places in which individuals are motivated by their self-interests and in which negative events like time pressure, anxiety, conflict with co-workers, miscomprehensions, difficulties in solving problems, not-transmitted or not-exchanged information that lead to mistakes, and in some cases to injuries, stress or control, are part of everyday life. Such situations are often the result of the limited comprehension of needs, skills, or information available to colleagues, supervisors, subordinates, clients or providers. However, workplaces are also places (...) in which employees take care of clients, support colleagues and subordinates, are enthusiastic about their job, are motivated by leaders that encourage employees to transcend their own self-interests for the good of the group or the organization and provide them with the confidence to perform beyond expectations. Thus positive relationships at work are becoming a new interdisciplinary domain of inquiry. Within this positive relationships framework, in this paper we focus on a positive component of workplaces, and particularly on an individual cognitive and emotional process that has an important role in the workplace because it facilitates interpersonal relations and communications: it is the perspective taking process. In order to describe perspective taking, we will refer to some empirical studies and particularly to the review published by Parker, Atkins and Axtell in 2008 on the International Review of Industrial and Organizational Psychology. Perspective taking is a well established psychological construct, investigated both in the field of human development, as an important component of reasoning and moral development, and also in social and clinical psychology, where it is considered a component of social behaviors and of the therapeutic process. It has also been conceptualized in different ways. Duan and Hill describe three approaches to explain reasons for perspective taking behavior: a dispositional approach, that considers empathy as a relatively stable trait or a general ability; a cognitive-affective experience influenced by situational conditions; and finally as a multiphased experiential process. However, although in modern organizations working cooperatively and taking into account customers’ needs and experiences are becoming even more important, very few studies have considered perspective taking process within organizations. This is interesting because taking into account the perspective of others may contribute to more collaborative workplaces, where it is pleasant to work, as also enlighted in the title of the Parker, Atkins and Axtell’s paper: “Building better workplaces” is one of the possible outcomes of perspective taking. This paper aims to make available to a large audience such studies and, in relation to the topic of the conference organized by “Psychology and Communion”, consider connections between this concept and ideas and writings by Chiara Lubich. (shrink)

Semantic interpretations of both natural and formal languages are usually taken to involve the specification of a domain of entities with respect to which the sentences of the language are to be evaluated. A question that has received much attention of late is whether there is unrestricted quantification, quantification over a domain comprising absolutely everything there is. Is there a discourse or inquiry that has absolute generality? After framing the debate, this article provides an overview of the main arguments for (...) and against the possibility of unrestricted quantification, highlighting some of the broader implications of the debate. (shrink)

Plural expressions found in natural languages allow us to talk about many objects simultaneously. Plural logic — a logical system that takes plurals at face value — has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? After introducing plural logic and its main applications, the book provides a systematic analysis of the relation between (...) this logic and other theoretical frameworks such as set theory, mereology, higher-order logic, and modal logic. The applications of plural logic rely on two assumptions, namely that this logic is ontologically innocent and has great expressive power. These assumptions are shown to be problematic. The result is a more nuanced picture of plural logic's applications than has been given thus far. Questions about the correct logic of plurals play a central role in the final chapters, where traditional plural logic is rejected in favor of a "critical" alternative. The most striking feature of this alternative is that there is no universal plurality. This leads to a novel approach to the relation between the many and the one. In particular, critical plural logic paves the way for an account of sets capable of solving the set-theoretic paradoxes. (shrink)

For an observation time equal to the universe age, the Heisenberg principle fixes the value of the smallest measurable mass at mH=1.35×10-69\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m_\mathrm{H}=1.35 \times 10^{-69}$$\end{document} kg and prevents to probe the masslessness for any particle using a balance. The corresponding reduced Compton length to mH\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m_\mathrm{H}$$\end{document} is, and represents the length limit beyond which masslessness cannot be proved using a metre ruler. In turns, is (...) equated to the luminosity distance dH\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_\mathrm{H}$$\end{document} which corresponds to a red shift zH\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_\mathrm{H}$$\end{document}. When using the Concordance-Model parameters, we get dH=8.4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_\mathrm{H} = 8.4$$\end{document} Gpc and zH=1.3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_\mathrm{H}=1.3$$\end{document}. Remarkably, dH\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_\mathrm{H}$$\end{document} falls quite short to the radius of the observable universe. According to this result, tensions in cosmological parameters could be nothing else but due to comparing data inside and beyond zH\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$z_\mathrm{H}$$\end{document}. Finally, in terms of quantum quantities, the expansion constant H0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_0$$\end{document} reveals to be one order of magnitude above the smallest measurable energy, divided by the Planck constant. (shrink)

This article engages with Johann Arnason’s approach to the entanglements of culture and power in comparative civilizational analysis by simultaneously reframing the themes of the civilizing process and the public sphere. It comments and expands upon some key insights of Arnason concerning the work of Norbert Elias and Jürgen Habermas by adopting an ‘Islamic perspective’ on the processes of singularization of power from its cultural bases and of reconstruction of a modern collective identity merging the steering capacities and the participative (...) ambitions of an emerging urban intelligentsia. The Islamic perspective provides insights into the interplay between civilizing processes and the modes through which cultural traditions innervate a modern public sphere. By revisiting key remarks of Arnason on Elias and Habermas, the Islamic perspective gains original contours, reflecting the search for a type of modernity that is eccentric to the mono-civilizational axis of the Western-led, global civilizing process. While this eccentric positioning entails a severe imbalance of power, it also relativizes the centrality of the modern state in the civilizing process and evidences some original traits of the public sphere in a non-Western context. (shrink)

My intention is not to get into specific, detailed historical observation about the ways that led the term ‘democracy’ to take on its current meaning, in science as much as in politics, but rather to establish a comparison between the models that political science proposes and interprets as important for the existence of democracy and those that science illustrates as indicators of scientific knowledge constructed in a democratic form. The debate about the contemporary meaning of democracy has generated an extraordinary (...) diversification of models of democracy: from technocratic conceptions of government to conceptions of social life that include widespread political participation. And it is exactly for this reason that the assumption of a specific point of view on the question we are dealing with inevitably brings with it the choice of a model suitable to describe democratic form as a form of politics without further explanation, that is, as a political system with which science measures itself as a cultural category. In this sense, we can consider the passage from the concept of democracy to that of politics and generally of science to be a peaceful one, since politics has been appointed with that set of behaviours and democratic practices (including science) that political culture demands for the social benefit. This demand can be met only on condition that structural obstacles are removed and new cultural and epistemological mediators are introduced. (shrink)

A well-known proof by Alonzo Church, first published in 1963 by Frederic Fitch, purports to show that all truths are knowable only if all truths are known. This is the Paradox of Knowability. If we take it, quite plausibly, that we are not omniscient, the proof appears to undermine metaphysical doctrines committed to the knowability of truth, such as semantic anti-realism. Since its rediscovery by Hart and McGinn (1976), many solutions to the paradox have been offered. In this article, we (...) present a new proof to the effect that not all truths are knowable, which rests on different assumptions from those of the original argument published by Fitch. We highlight the general form of the knowability paradoxes, and argue that anti-realists who favour either an hierarchical or an intuitionistic approach to the Paradox of Knowability are confronted with a dilemma: they must either give up anti-realism or opt for a highly controversial interpretation of the principle that every truth is knowable. (shrink)

The expression oikoi stratiōtikoi, used in Constantine VII Porphyrogenitus as opposed to oikoi politikoi, designates all those families who were bound to military service. They, in the tenth century, were listed in various enlistment registers that were periodically updated, among which one was kept in Constantinople. There is solid evidence to argue that such an administrative practice originated in the eighth century, coinciding with a significant transformation in the enrolment of soldiers and their maintenance. A conscription procedure was devised in (...) the age of the Isaurians, which, although it is not known whether it was on a voluntary or compulsory basis, entailed the entry in the military records (in Constantinople and the provinces) of every person in charge (oikodespotēs) of the family that had assumed the military burden. This implied in later periods a strong uncertainty in the relationship between service and its performance because registration rested on an ambiguous vocabulary. The ambiguity, in fact, was rooted in the polysemy of the concept of oikos, family unit, home and patrimony at the same time. While such a notion allowed the recruitment in thematic armies to function flexibly through the wide network of the family’s cognate and agnatic structure, precisely because the oikos was also a set of economic interests, it exposed the landed patrimony of military families to splitting and erosion. This ambiguity ended with Constantine VII’s famous law of 949, which regulated the property regime of the stratiōtikoi oikoi, a regime that, as the same provision explicitly states in several points, already existed previously throughout the empire. The law provided a precise economic quantification of the assets needed for each ‘military family’ to perform the service. Historiography has generally interpreted Constantine VII’s measure as an act breaking with the previous tradition, since military service appears in it much more markedly connoted as a patrimonial burden, rather than as a personal one. However, this ‘oppositional’ interpretation does not seem adequate for understanding the concept of oikos stratiōtikos, which from the outset must have implied a profound interrelationship between the personality of the service and its patrimonial basis, since the one did not exist without the other. (shrink)

Plural logic is widely assumed to have two important virtues: ontological innocence and determinacy. It is claimed to be innocent in the sense that it incurs no ontological commitments beyond those already incurred by the first-order quantifiers. It is claimed to be determinate in the sense that it is immune to the threat of non-standard interpretations that confronts higher-order logics on their more traditional, set-based semantics. We challenge both claims. Our challenge is based on a Henkin-style semantics for plural logic (...) that does not resort to sets or set-like objects to interpret plural variables, but adopts the view that a plural variable has many objects as its values. Using this semantics, we also articulate a generalized notion of ontological commitment which enables us to develop some ideas of earlier critics of the alleged ontological innocence of plural logic. (shrink)

In the semantic debate about plurals, pluralism is the view that a plural term denotes some things in the domain of quantification and a plural predicate denotes a plural property, i.e. a property that can be instantiated by many things jointly. According to a particular version of this view, untyped pluralism, there is no type distinction between objects and properties. In this article, I argue against untyped pluralism by showing that it is subject to a variant of a Russell-style argument (...) put forth by Timothy Williamson and that it clashes with a plural version of Cantor’s theorem. I conclude that pluralists should postulate a type distinction between objects and properties. (shrink)

We present a reference model for finding evidence of discrimination in datasets of historical decision records in socially sensitive tasks, including access to credit, mortgage, insurance, labor market and other benefits. We formalize the process of direct and indirect discrimination discovery in a rule-based framework, by modelling protected-by-law groups, such as minorities or disadvantaged segments, and contexts where discrimination occurs. Classification rules, extracted from the historical records, allow for unveiling contexts of unlawful discrimination, where the degree of burden over protected-by-law (...) groups is evaluated by formalizing existing norms and regulations in terms of quantitative measures. The measures are defined as functions of the contingency table of a classification rule, and their statistical significance is assessed, relying on a large body of statistical inference methods for proportions. Key legal concepts and reasonings are then used to drive the analysis on the set of classification rules, with the aim of discovering patterns of discrimination, either direct or indirect. Analyses of affirmative action, favoritism and argumentation against discrimination allegations are also modelled in the proposed framework. Finally, we present an implementation, called LP2DD, of the overall reference model that integrates induction, through data mining classification rule extraction, and deduction, through a computational logic implementation of the analytical tools. The LP2DD system is put at work on the analysis of a dataset of credit decision records. (shrink)

This chapter provides an overview of the philosophical and linguistic debate about the logic of plurals. We present the most prominent singularizing analyses of plurals as well as the main criticisms that such analyses have received. We then introduce an alternative approach to plurals known as plural logic, focusing on the question whether plural logic can count as pure logic.

This paper reports the framework, method and main findings of an analysis of cultural milieus in 4 European countries. The analysis is based on a questionnaire applied to a sample built through a two-step procedure of post-hoc random selection from a broader dataset based on an online survey. Responses to the questionnaire were subjected to multidimensional analysis-a combination of Multiple Correspondence Analysis and Cluster Analysis. We identified 5 symbolic universes, that correspond to basic, embodied, affect-laden, generalized worldviews. People in this (...) study see the world as either a) an ordered universe;b) a matter of interpersonal bond;c) a caring society;d) consisting of a niche of belongingness;e) a hostile place. These symbolic universes were also interpreted as semiotic capital: they reflect the capacity of a place to foster social and civic development. Moreover, the distribution of the symbolic universes, and therefore social and civic engagement, is demonstrated to be variable across the 4 countries in the analysis. Finally, we develop a retrospective reconstruction of the distribution of symbolic universes as well as the interplay between their current state and past, present and future socio-institutional scenarios. (shrink)

ABSTRACT Carl Schmitt is generally considered as the father of exceptionalism – the theory that the heart of politics lies in the sovereign power to issue emergency measures that suspend everyday normality. This is why his name comes up anytime state governments, whether liberal or not, impose limits on constitutional rights and freedoms to cope with emergencies. This article problematises such a received understanding. It argues that Schmitt held an exceptionalist view for a limited period of time and that even (...) in that period his thinking cannot be regarded as unshakably exceptionalist. This interpretation offers a new entry point to Schmitt’s overall theory. While it can hardly be defended from allegations of reactionary conservatism, it remains a juristic theory of the legal order that tries to answer the question of what ensures the stability of social life. The backdrop of this view is an institutional theory of law and politics that is hardly reconcilable with any form of exceptionalism. In this light, the core of Schmitt’s thinking turns out to be the exaltation of legal science as a jurisgenerative practice that shelters a community’s institutional practices and the traditional identity. (shrink)

We construct an explicit covariant Majorana formulation of Maxwell electromagnetism which does not make use of vector 4-potential. This allows us to write a “Dirac” equation for the photon containing all the known properties of it. In particular, the spin and (intrinsic) boost matrices are derived and the helicity properties of the photon are studied.

Wittgenstein: Epistemology Although Ludwig Wittgenstein is generally more known for his works on logic and on the nature of language, but throughout his philosophical journey he reflected extensively also on epistemic notions such as knowledge, belief, doubt, and certainty. This interest is more evident in his final notebook, published posthumously as On Certainty (1969, henceforth … Continue reading Wittgenstein: Epistemology →.

This case study extends the findings of Pickering et al. 2009 to the domain of conversational humor. We find that, as was the case in humorous narratives, conversational humor is not marked by higher pitch or volume, increased speech rate, or significant pauses. Unlike narrative humor, conversational humor is not produced at a lower pitch and slower rate than non-humorous parts of the text. We find that smiling and laughter tend to occur with humor.

In the Late Byzantine period particular attention was paid to various kinds of foreseeing the future. That is why so many treatises on divination have been copied and transmitted to us – among other things the handbooks on divining from a lamb’s shoulder blade. This method originally goes back to a foreign tradition. We present the edition of an anonymous treatise in Ms. Atheniensis, Bibliotheca Nationalis 1493, which is ascribed to Turkish wisdom. We subsequently make a comparison with Psellus’ contribution (...) on omoplatomancy. (shrink)

This article considers historical facts and investigates the particular relationship between a factual and a valuative dimension within them. The operation is an autopsy of a particular historical fact, which works as an example. On this basis, the article will elucidate the similarities and the differences between historical facts and natural facts, with an emphasis on the observation that the former are more subject to the influence of interpretation than the latter. This feature of historical facts explains why social and (...) political struggles for recognition arise with respect to historical events. (shrink)