L'opera sviluppa una riflessione politico-simbolica sul rapporto identità-alterità per rintracciare le valenze, che favoriscono il riconoscimento dell'incontro, al di là del possibile scontro alternativo escludente. Due i simboli politici esaminati, Prometeo e Cristo, che danno di che pensare, sollecitando a ri-pensare, il rapporto con l'altro. Aut aut: da una parte la croce di Cristo che simbolicamente, con i suoi bracci che si intersecano l'uno attraverso l'altro, rappresenta l'apertura della dimensione immanente, nella sua orizzontalità, a quella trascendente, nella sua verticalità, ossia (...) la tensione al supra e al prius quale esigenza di progresso ascensionale di ricerca del massimo bene umano; dall'altra la rupe di Prometeo, espressione dell'attaccamento ctonico al piano immanente, che, se assolutizzato, opprime e mortifica l'essere incatenandolo e affossandolo. Con un'originale apertura della politica alla pedagogia, l'autrice affronta la questione cruciale del la libertà che, intesa come liberazione responsabile dall'insignificanza all'infinito, richiede di essere educata per rendere concretamente possibile il progetto di una convivenza più autenticamente umana. (shrink)

Background: Mentalizing, the mental capacity to understand oneself and others in terms of mental states, has been found to be reduced in several mental disorders. Some studies have suggested that eating disorders may also be associated with impairments in mentalizing. The aim of this work is to investigate the possible presence of mentalizing subtypes in a sample of patients with EDs.Method: A sample of patients with eating disorders completed a battery of measures assessing mentalization and related variables, including the Reflective (...) Functioning Questionnaire, the Difficulties in Emotion Regulation Strategies, the Interpersonal Reactivity Index. Clinicians rated patients in relation to imbalances in different dimensions of mentalization to prementalizing modes and attachment style by using the Mentalization Imbalances Scale, the Modes of Mentalization Scale, and the Adult Attachment Questionnaire. A latent profile analysis was conducted to test the possible presence of different subgroups. MANOVA was used to test the possible differences between the four mentalizing profiles in relation to emotion dysregulation, empathy, and adequate and impairments in mentalizing.Results: The latent profile analysis suggested the presence of four different profiles in relation to impairments in the dimensions of mentalization: affective/self/automatic imbalances, external imbalance, cognitive/self/automatic imbalances, and cognitive/other/automatic imbalances. Patients belonging to profile 1 are characterized by the prevalence of affective mentalization that overwhelms the capacity to reflect on mental states with an imbalance on the self-dimension; profile 2 patients are excessively focused on the external cues of mentalization; profile 3 patients are characterized by an over-involvement on the cognitive and self-facets of mentalization, with an impairment in adopting the other mind perspective; and profile 4 patients have similar impairments compared to profile 3 patients but with an excessive focus on others and deficits in self-reflection. These profiles were heterogeneous in terms of EDs represented in each group and presented significant differences on various variables such as attachment style, emotion dysregulation, empathy, interpersonal reactivity, and reflective function. This study represents, so far, the first work that confirms the presence of different mentalizing patterns in ED patients.Conclusions: ED patients can be classified in relation to impairments in different dimensions of mentalization above and beyond ED diagnosis. (shrink)

Purpose: This study is aimed to preliminary investigate whether transcranial alternating current stimulation could affect explosive power considering genetic background in sport subjects.Methods: Seventeen healthy sports volunteers with at least 3 years of sports activities participated in the experiment. After 2 weeks of familiarization performed without any stimulation, each participant received either 50 Hz-tACS or sham-tACS. Before and after stimulation, subjects performed the following tests: the squat jump with the hands on the hips ; countermovement jump with the hands on (...) the hips ; countermovement jump with arm swing ; 15-s Bosco’s test; seated backward overhead medicine ball throw ; seated chest pass throw with a 3-kg rubber medicine ball; and hand-grip test. Additionally, saliva samples were collected from each participant. Genotyping analysis was carried out by polymerase chain reaction.Results: No significant differences were found in sport performance of subjects after 50 Hz-tACS. Additionally, we did not find any influence of genetic background on tACS-related effect on physical performance. These results suggest that tACS at gamma frequency is not able to induce an after-effect modulating sport performance. Further investigations with larger sample size are needed in order to understand the potential role of non-invasive brain stimulation techniques in motor performances.Conclusions: Gamma-tACS applied before the physical performance fails to improve explosive power in sport subjects. (shrink)

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)

Abū al-Ma’ālī Sadr al-Dīn Muhammad b. Ishāq al-Qūnawī nacque probabilmente a Konya nel 605/1209 e morì nel 673/1274. L’influenza che Ibn al-’Arabī esercitò su Qūnawī fu decisiva e lo _shaykh al-akbar_ riservò questa questa particolare formazione esclusivamente a lui, forse proprio perché il compito del suo erede spirituale e interprete era già stato “ previsto”. In questo intervento tracceremo uno dei punti fondamentali del pensiero di Qūnawī, basandoci sulla prima epistola del carteggio che si concentra proprio sulla questione del _rapporto (...) tra conoscenza filosofica e illuminazione divina_, questione che si ritrova nell’opera del nostro sufi e che lo contraddistingue all’interno del pensiero sufi in generale, collocandolo nella scuola ibnarabiana. Abū al-Ma‘ālī Sadr al-Dīn Muhammad b. Ishāq al-Qūnawī was born probably in Konya in 605/1209 and died in 673/1274. The influence that Ibn al-‘Arabī exerted on Qūnawī was decisive and the _shaykh al-akbar_ reserved this intense education and this particular training exclusively for him, perhaps precisely because the task of his spiritual heir and interpreter had already been “foreseen”. In this intervention we will trace one of the fundamental points of Qūnawī’s thought, relying on the first epistle of the correspondence that focuses precisely on the question of the _relationship between philosophical knowledge and divine illumination_, a question that is found throughout the work of our Sufi and that it distinguishes it within Sufi thought in general, placing it within the Ibnarabian school. (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)

Key n-grams are useful in the analysis of legal discourse as they help bring recurrent key expressions to the fore and understand the patterning of legal language. This paper aims to generate, analyse and compare the key n-grams of two legal corpora: a corpus of European directives on distance consumer contracts and a UK national legislation corpus on the same subject-matter. The corpora are considered, alternatively, as both focus and reference corpora. In this way, keyness, i.e., the terminology that makes (...) each corpus unique, is revealed from both corpora. The paper findings mostly bring to the fore five different patterns: differences in the key n-grams due to institutional or country-related factors; legalese influences; typical n-grams of Eurolect; dichotomy in the terminology used (albeit applying the same legal principles), and polysemy (i.e., similar words with different applications in various genres). This analysis confirms the usefulness and insightfulness of key n-grams in understanding the impact of disciplinary conventions in legal language. (shrink)

This biography sheds new light on the life and work of physicist Ettore Majorana (including unpublished contributions), as well as on his mysterious disappearance in March 1938. Majorana is held by many, including Nobel Laureate, Enrico Fermi, to have been a genius of the rank of Galilei and Newton. In this intriguing story, the author, himself a leading expert on the work of Majorana, supplements the existing literature with new insights, anecdotes and personal accounts of contemporaries of Majorana.

As Malinowsky states, myth is closely related to rite, presenting the social and moral values that rite asserts in each cyclical repetition. Rite marks the threshold between the sacred and profane, allowing access to myth as an art form, as a narrative expression both of the sacred – in the extension of meaning Emile Durkheim introduced with the term ‘collective consciousness’ – and of the ‘collective unconscious’ as Jung defined it. If it is true that the rite of passage to (...) the adult world, the initiation rite, is one of the most archaic rites in aiming to protect society against the risk of cultural innovation inherent in the younger generations, then it is legitimate to ask what our new myths are regarding education. When technology accelerates the mechanisms eroding collective memory, which rites renew educational myths in everyday practice? When technology dematerializes the devices on which rite and its inherent techniques of control are based, what new forms does mythological narration assume? What roles do new media play in creating a direct channel between the collective consciousness and individual experience, between the nervous system and our environment, enveloping individuals in the telematic embrace Roy Ascott described in 2003, and which not only explains the concept of the Global Village that Marshall McLuhan introduced in 1966, but also delineates the space – time of students in contemporary learning processes? Reading the contemporary educational system through the lens of myth and rite, where new technologies play a central role, allows us to follow a path that traces the progressive impact of media on cognitive processes from the initial emergence of the concept ‘collective consciousness’ onwards, and that offers one of the most interesting interpretations of the ‘open school’ experience in Derrick de Kerkhove’s concept of ‘connective intelligence’ (analysed in my Ph.D. thesis). But myth also allows us to observe those cracks, breaks and discontinuities that mark the places in which contemporary knowledge is created, which is why we find Nietzsche (who dedicated much of his work to myth), Michel Foucault and Ivan Illich at the centre of International Debate on Education for the last decade due to their critical approach to institutions. (shrink)

In Europe the elderly population is projected to increase from 18.5% (93.9 million) in 2014 to 28.7% (149.1 million) by 2080. In the USA it is estimated that by the year 2030 more than 20% of the population will be aged 65 years or over. This specific population is at high risk of unrecognised or untreated psychiatric illnesses and suicide. It is well known that completed suicide rate increases with age in both men and women. Although elderly people attempt suicide (...) less often than other age groups, they show a higher completion rate. Generally the methods chosen by elderly are more lethal, the intent is more serious, they are more determined and they show fewer warning sign than the younger population. A recent systematic review and meta-analysis of psychosocial intervention following self-harm in adults found that cognitive behavioural therapy was the most effective in these patients. Unfortunately there have been few reported trials of other potentially effective interventions. Because the scientific literature on psychosocial suicide prevention interventions in the elderly is still scant we decided to conduct a mini-review in order to take stock of the situation. Studies were identified through electronic searches of the Cochrane library, MEDLINE, Scopus and Web of Science databases. PRISMA guidelines were followed and only 7 articles met the inclusion criteria. No firm conclusions can be drawn about this topic because there is still little data and studies used inconsistent outcome measures and designs. Nonetheless, the existing data suggests that psychosocial interventions are promising. (shrink)

Noel and Amanda Sharkey have written an insightful paper on the ethical issues concerned with the development of childcare robots for infants and toddlers, discussing the possible consequences for the psychological and emotional development and wellbeing of children. The ethical issues involving the use of robots as toys, interaction partners or possible caretakers of children are discussed reviewing a wide literature on the pathology and causes of attachment disorders. The potential risks emerging from the analysis lead the authors to promote (...) a multidisciplinary debate on the current legislation to deal with future robot childcare. As a general first consideration, the questions arising from the paper are extremely timely since current robot technology is surprisingly close to achieving autonomous bonding and sustained socialization with human toddlers. The evolution of robot technology has been so speedy in the last few years that even if a discipline like Human-machine Interaction has only recently welcomed human-robot interaction within its disciplinary scope, a variety of social robots have started to populate our life and daily activities. In the past five years human-robot interaction has received a significant and growing interest leading to the development of the so-called robots companions, a term that emphasizes a constant interaction and co-operation between human beings and robotic machines. While Noel and Amanda Sharkey in their paper take a critical stance on the consequences of the use of robots as companions or caretakers, others researchers seem more keen to highlight the potential of caregiver robots in particular in educational settings. In this commentary I’ll try to offer my personal viewpoint on the consequences of using robot companions or caretakers of children on learning and education, and the effects of technologies on cognitive skills development, a controversial area of research where different findings show how little is known. (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.

Contemporary international migration is directly related to the construction of the nation-state. The variations in this migration are multiple, depending on the type of mobility, the territories and the characteristics of the people who practice it. One kind of migration that has been particularly important at the end of the twentieth century and so far in the twenty-first century is that of minors who migrate without being accompanied by their parents. The legal definitions, bureaucratic practices and rights of these minors-turned-migrants (...) vary across European states and in the international literature. This paper aims to analyse the terminology used colloquially in the media and academically to refer to this group of people. In the early days of the phenomenon, the acronym MENA (unaccompanied migrant minors) has been the most common in Spain. It was intended to be a “neutral” term used in the legal sphere and migration studies. Still, in recent times, MENA has become more than a descriptive category. It has become a way of criminalising a group of young people who are in national territory and come from another country (usually an African country and, especially, a Maghreb country). However, not everything is determined by the circumstances surrounding us or our lives as social beings. Social pressure, with its narrative, cannot mean leaving aside history, legal culture, and learning. We need a new language to talk about this group of people. Currently, the negative connotation hides the most human aspect of this condition; the term “MENA” is a banner to mystify a fundamental fact: we are talking about children and adolescents who, not being able to count on the protection of an adult or family member, are condemned to social exclusion. This article approaches the migrant child as a critical figure who embodies the paradox of humanitarian reasoning, which is also a legal and political paradox, encapsulating the tension between structural rejection and the individual capacity of the human subject. By focusing on the theoretically productive role of minors without parental guardianship as subjects of ethnographic examination, this paper aims to understand better how current anthropological knowledge redefines the concepts of childhood, adulthood, and migration. The first part of this paper focuses on examining the terminologies used at the European and international levels, with their respective social implications. The second part focuses on the Spanish case, with the different impacts the term produces at the local level. The third and final part focuses on the terminology of refugee children and opens the discussion on scapegoating in Spain. (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)

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)

The new discoveries of QM led to re-assessing, broadening the meanings of many physical concepts, and formulating a new logic that was no longer based on the classical principles of non-contradiction, identity, and causality. Heisenberg considered the classical logic and the conception of language expressed in the Tractatus Logico-Philosophicus inadequate for the understanding of the problems of language with which the physicists of the Copenhagen school had had to deal in order to define the foundations of Quantum Mechanics. On the (...) contrary, he saw in Wittgenstein’s posthumous Philosophical Investigations the key to solving those problems. One may formulate a proportion and state that the use of language described in the Tractatus fits the use of language in Classical Mechanics, as the use of language described in PI fits the use of language in QM. I interpret the reflections of the physicists of the Copenhagen school on the limits of language relative to QM by highlighting how the epistemological revolution of quantum physics shares a conception of language similar to that expressed by late Wittgenstein in PI. I also aim to explain why Heisenberg considered it inappropriate to subsume the propositions and concepts of QM under the rules of the propositional logic of Tractatus. I explain why the philosophy of language expounded in PI, which is based on language games and resemblance families, sheds a light on how and why QM has contributed to renewing existing concepts (such as space, trajectory, observer, etc.) and to formulate a new logic (quantum logic). (shrink)

Il saggio indaga il rapporto fra impresa e società fra ottocento e novecento così come si esprime nelle società per azioni e nelle imprese cooperative. Nella seconda metà dell’Ottocento i codici di commercio europei introducono la deregolamentazione delle public company e codificano per la prima volta l’impresa cooperativa. Entrambe le novità rappresentano una riposta ai problemi centrali di quella fase dello sviluppo industriale: il finanziamento delle iniziative economiche, la questione sociale e la governance dell’impresa. Si delineano così due forme di (...) impresa, la public company e l’impresa cooperativa, che per tutto il Novecento alimenteranno il dibattito sul rapporto fra società e impresa e contribuiranno alla crescita delle economie occidentali. (shrink)

Comparative law is a subject always in motion. Scholarly discussion about its methodology is always vivid, in search of better tools to make the different possible comparative endeavors. The paper explores the concept of lawscape and its link with comparative legal methodology. The concept of lawscape will be linked with other relevant concepts in comparative law, like those of legal pluralism, legal transplants, legal formants and legal fluxes to make the necessary connections and find its space within the tools of (...) comparative law. (shrink)

A differenza di altri concetti su cui il ruolo svolto dall'Illuminismo e universalmente noto, beneficenza e un termine che appare indissolubilmente legato all'Ottocento, ed a una visione paternalista ed ipocrita dei rapporti sociali. Pochi conoscono le avventure settecentesche dell'idea di - bienfaisance - che, al pari di termini quali tolleranza ed - egalite -, e un frutto maturo dell'Illuminismo, ed una delle parole-chiave dei <I>philosophes. Di questo concetto, essenziale nel dibattito morale settecentesco, il libro esplora le potenzialita concentrandosi sul decennio (...) cruciale della Rivoluzione, da cui la beneficenza uscira profondamente trasformata. Dallo studio delle piu diverse fonti letterarie, tra cui saggistica politico-morale, romanzi ed opere teatrali, emergono le contraddizioni di un pensiero filantropico che la Rivoluzione fece proprio fin dall'inizio, e che dovette percio subire i contraccolpi dell'azione politica, anche violenta, dispiegata in quegli anni. Facendo interagire l'asse diacronico degli eventi storici con una esemplificazione sincronica dei vari aspetti del pensiero del dono, il libro mostra il trapasso dall'immaginario felice della - bienfaisance - illuminista a quello malinconico o dolente della consolazione del malessere esistenziale; mentre sul piano politico l'ideale riformatore degli illuministi si trasforma progressivamente in un piano ragionato di conservazione sociale.". (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)

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)

Artificial Intelligence (AI) applied to the legal domain is gaining ground. AI is argued to be particularly helpful with labour-intensive activities and repetitive tasks. Amongst the various AI solutions, ChatGPT has gathered momentum and its acclaimed advantages are, amongst others, document generation and contract review. This paper wishes to assess the effectiveness of two chatbots in contract drafting. To this aim, ChatGPT (by OpenAI) and Gemini (by Google) are prompted to write two supply contracts each, the first one written in (...) English according to the laws of England and Wales, and the other one still written in English, but according to the laws of the Republic of Italy. The paper finds that each contract pair generated by the AI solutions is identical, thus disregarding legal-system specificities and language conventions. Therefore, the drafts present a number of fallacies, either because they are incomplete, or because they include clauses that are redundant or inapplicable in a given legal system. The paper claims that human intervention and supervision are necessary to tackle the shortcomings generated by AI, at least as far as contract generation is concerned and with regard to the two chatbots addressed. (shrink)

Starting from the concept and definition of littera in the Grammar treatises of the Late Antiquity and the Early Middle Ages, the contribution analyzes common graphic elements which were used by the scribes to create initials, ornamental patterns and the layout of the manuscript page. These elements and their functions were partly described in encyclopaedic works, e. g. of Isidor of Sevilla and Martianus Capella in the chapters about Geometry. Not only were these features well known through the study of (...) the Artes, they also represented useful tools for the invention and production of medieval diagrams. (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)

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.

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)

A prominent objection against the logicality of second-order logic is the so-called Overgeneration Argument. However, it is far from clear how this argument is to be understood. In the first part of the article, we examine the argument and locate its main source, namely, the alleged entanglement of second-order logic and mathematics. We then identify various reasons why the entanglement may be thought to be problematic. In the second part of the article, we take a metatheoretic perspective on the matter. (...) We prove a number of results establishing that the entanglement is sensitive to the kind of semantics used for second-order logic. These results provide evidence that by moving from the standard set-theoretic semantics for second-order logic to a semantics which makes use of higher-order resources, the entanglement either disappears or may no longer be in conflict with the logicality of second-order logic. (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 →.