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)

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)

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 book contains essays in honor of Victor Raskin. The contributions are all directly related to some of the major areas of work in which Raskin's scholarship has spanned for decades. The obvious connecting idea is the encyclopedic script-based foundation of lexical meaning, which informs his pioneering work in semantics in the 1970s and 1980s. The first part of the book collects articles directly concerned with script-based semantics, which examine both the theoretical and methodological premises of the idea and its (...) applications. Script-based semantics is the foundation of both Raskin's ground-breaking work in humor research (addressed by the articles in part 2) and in Ontological semantics (addressed in part 3), the most recent development of script-based semantics. The fourth part is dedicated to a less-known, but equally important, strand of Raskin's research, the applications of linguistics to other fields, including writing, lexicography, and professional applications (e,g., tourism). Overall, the book provides and up-to-date, in-depth discussion of an influential strand of the discussion on semantics and its most recent developments and influence on other seemingly unrelated fields, such as Cognitive Linguistics. (shrink)

The Overgeneration Argument is a prominent objection against the model-theoretic account of logical consequence for second-order languages. In previous work we have offered a reconstruction of this argument which locates its source in the conflict between the neutrality of second-order logic and its alleged entanglement with mathematics. Some cases of this conflict concern small large cardinals. In this article, we show that in these cases the conflict can be resolved by moving from a set-theoretic implementation of the model-theoretic account to (...) one which uses higher-order resources. (shrink)

Quine maintained that philosophical and scientific theorizing should be conducted in an untyped language, which has just one style of variables and quantifiers. By contrast, typed languages, such as those advocated by Frege and Russell, include multiple styles of variables and matching kinds of quantification. Which form should our theories take? In this article, I argue that expressivity does not favour typed languages over untyped ones.

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)

The widespread introduction of accreditation procedures contradicts the centrality of freedom in research and teaching which Wilhelm von Humboldt paradigmatically supported. The logic of accreditation propagated during the last decades implies in fact a reversal of Hulmboldt’s perspective: priority is given to standardization and – not necessarily sheer – competition, which shifts the human being into a peripheral position within academic education. With regard to the reductionist anthropology presupposed by accreditation procedures, Humboldt’s Menschenbild manifests a breaking contrastivity. Humboldt in fact (...) intends human beings not as merely biological or psychological subjects, but as spiritual selves capable of a fruitful development with the help of science, whereas science is primarily perceived as spiritual and dialogical activity. This notion of science, which echoes Socrates’ midwifery, could represent a more human alternative to future sceneries in which universities would be exclusively considered as institutions providing services. (shrink)

In linguistics, the dominant approach to the semantics of plurals appeals to mereology. However, this approach has received strong criticisms from philosophical logicians who subscribe to an alternative framework based on plural logic. In the first part of the article, we offer a precise characterization of the mereological approach and the semantic background in which the debate can be meaningfully reconstructed. In the second part, we deal with the criticisms and assess their logical, linguistic, and philosophical significance. We identify four (...) main objections and show how each can be addressed. Finally, we compare the strengths and shortcomings of the mereological approach and plural logic. Our conclusion is that the former remains a viable and well-motivated framework for the analysis of plurals. (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)

In light of the close connection between the ontological hierarchy of set theory and the ideological hierarchy of type theory, Øystein Linnebo and Agustín Rayo have recently offered an argument in favour of the view that the set-theoretic universe is open-ended. In this paper, we argue that, since the connection between the two hierarchies is indeed tight, any philosophical conclusions cut both ways. One should either hold that both the ontological hierarchy and the ideological hierarchy are open-ended, or that neither (...) is. If there is reason to accept the view that the set-theoretic universe is open-ended, that will be because such a view is the most compelling one to adopt on the purely ontological front. (shrink)

This study provides a scoping review of the recent conceptual developments about the deviant work behavior and counterproductive work behavior constructs. It also examines the specific types of deviant work behavior that have been more consistently investigated in the last decade, and whether they cover the interpersonal or organizational type of deviant behavior. In addition, individual, group, and organizational predictors of deviant work behaviors are examined. A scoping review of reviews was conducted on Scopus and Web of Science databases and (...) 54 studies published from 2010 to June 2021 were taken into account. Results show that more recent conceptualizations are based on well established models in the literature and consider the hierarchical structure of these two constructs. Recent reviews examine the relationships of deviant work behavior with job performance and ethical behavior constructs, the multilevel nature of deviant work behavior, and the consequences for the actor of the deviance. The specific types of deviant work behavior more frequently reviewed in the last decade are workplace abuse, incivility, ostracism, bullying and sexual harassment, and abusive and destructive leadership; this evidence suggests a much greater attention to interpersonal, rather than organizational, forms of deviant work behavior. Regarding antecedents, results show the continuing prevalence of personality factors antecedents. Limitations of the study and theoretical and practical implications for the field are also provided. (shrink)

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 →.

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)

Per l'uomo di oggi, che non spera più nella salvezza alla fine dei tempi ma ha davanti a sé un tempo senza fine, navigare in mare aperto sembra ormai diventato l'unico modo di vivere. Ma quale rotta seguire, dopo il tramonto di ogni certezza e il declino della tradizione giudaico-cristiana in Occidente, due segni distintivi della nostra epoca? Al termine di un lungo e originale itinerario di riflessione sulla modernità, Salvatore Natoli analizza le varie forme del fare e il (...) loro rapporto con quello che dovrebbe essere il vero obiettivo di ogni essere umano: un buon uso del mondo. Partendo dalla distinzione aristotelica tra "agire" e "fare", l'autore si chiede quanto, nella nostra frenetica attività quotidiana, siamo "agenti", soggetti capaci di realizzarsi in ciò che fanno, e quanto invece siamo "agiti", elementi impersonali di una serie causale e anonima di cui non si vede né l'inizio né la fine. Per essere titolari della propria vita, e quindi davvero liberi, non basta infatti conformarsi a ciò che l'organizzazione sociale richiede, ma occorre istituire un rapporto autentico con il proprio desiderio, con la propria corporeità e con gli altri. Così, nella società delle abilità, della tecnica e del saper fare, si ripropone in tutta la sua urgenza la questione delle virtù, intese come "abilità a esistere", in grado di darci stabilità e consistenza. (shrink)

What is the relation between some things and the set of these things? Mathematical practice does not provide a univocal answer. On the one hand, it relies on ordinary plural talk, which is implicitly committed to a traditional form of plural logic. On the other hand, mathematical practice favors a liberal view of definitions which entails that traditional plural logic must be restricted. We explore this predicament and develop a “critical” alternative to traditional plural 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)

In an era increasingly characterized by pluralism and globalization, intercultural pedagogy represents a starting point for addressing the challenges that today’s society confronts us with daily. Throughout history, cultures have changed through interactions, exchanges, and hybridization, leading to the formation of an increasingly pluralistic and multicultural society. Against this background, it is crucial to develop approaches based on dialogue and mutual recognition. However, acceptance and willingness to encounter require an educational path that is promoted by schools from childhood, especially in (...) view of the monocultural mentality that too often characterizes more and more people and prevents the opening of a path that counteracts ethnocentrism in favor of a broader perspective. From this point of view, intercultural pedagogy proves to be the only approach that can guarantee the formation of individuals ready to create a truly multicultural society. (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)

In Plato’s Republic the prime cause of all things, the Good, is presented both as transcending every form of being and as the supreme Idea, that is to say as the supreme being. The inconsistency between these two characterizations seems to point to the paradoxical relation subsisting between the absolutely transcendent Good and its supreme self-revelation : by revealing itself, the ἀγαϑὸν ἐπέκεινα τῆς οὐσίας constitutes the highest being and therefore has to be considered to be identical with the ἰδέα (...) τοῦ ἀγαϑοῦ; on the other hand its absolute transcendence implies a clear supereminence in regard to the Idea of the Good. This article tries to highlight and illustrate these antinomic aspects of Plato’s notion of the Good with the help of both the so-called ἄγραφα δόγματα and the representation of the Demiurge in Plato’s work. (shrink)

Aim of this paper is to outline a new evolutionary interpretation of aesthetic emotions, in the light of the most recent developments in Evolutionary Biology, in particular the so-called “Extended Synthesis of Evolution” (Pigliucci-Müller 2010). Focussing on the biological concept of homology, the Author argues that, in order to effectively understand role and evolutionary value of aesthetic emotions, it should be asked not “what aesthetic emotions are for?”, rather “what kind of constraints and homologies influence the specific “shape” of human (...) aesthetic emotions?”. In a few words, we should move from a functionalist approach to human aesthetic emotions towards a morphological one. (shrink)

Summary This paper concentrates on the literary sources of the battle of Delion and reopens the debate on the relevance of Euripides’ Supplices for the narrative of this event. Thucydides is read with a particular focus on the speech of Pagondas, which can be understood through the current reconstruction of the history of Boiotia in the latter half of the fifth century BCE. Finally, Diodorus is considered as a useful source for a few pieces of information on the aftermath of (...) the battle that have previously been disregarded. (shrink)

How water is perceived and represented has an impact on the relationships between a given society and its water infrastructure. Historians have identified a shift in the perception of water during the nineteenth century, which was connected to the development of chemistry. From an understanding based in Hippocratic medicine and natural history that treated it as an infinite variety of substances, water eventually became understood as a simple compound consisting of oxygen and hydrogen. This resulted in the abstraction of water (...) from its social and environmental contexts, with consequences for the way water was managed. This article aims to demonstrate that such a view gives a mistaken intellectual coherence to a fragmented and conflicted process, which involved continuities, an adaptation of old frameworks to new social priorities, and fine changes in scientific thinking and practices. This paper examines the scientific and political debates concerning water infrastructure, surveys and analyses on water quality, medical reports and political measures in nineteenth-century Italy. Ultimately, the reduction of ‘waters’ to ‘water’ in Italy was more about determining who had the authority to assess water quality in the process of creating and stabilizing new power relations between the public and the private spheres than about the abstraction of water from its social and environmental contexts. (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)