The purpose of den trials is to assess innate ability and preparedness of dachshunds and terriers to work in natural beds in order to control fox numbers. International earthdog trials within the period 2009–2018 were evaluated in Slovakia, in which 1812 dogs participated, of which terriers represented 61.36% and dachshunds 38.64%. Depending on the way of work, dogs of these breeds work as bayer, bolter or hard dog. The test rules were compared in terms of animal protection, principles of ethics (...) and welfare requirements in the Visegrad countries. We investigated the extent to which animals used in trials are exposed to suffering in the countries under review. During the den trials in Slovakia, there is a direct physical contact between the dog and the fox, where the foxes are unnecessarily exposed to excessive stress, injury and pain and violated by Five Animal Welfare Needs, in particular the need to protect against pain, injury and disease. Due to non-compliance with the welfare, we propose a change in the examination rules in the earthdog work in Slovakia. Non-parametric Chi square statistic to analyse group differences when the dependent variable is measured at nominal level was used. (shrink)

New York, USA. ERi2;mail: [email protected]. edu. au ROHIT PARIKH, Brooklyn College 0f CUNY and CUNY Graduate Center, New York, USA. E-mail: ripbc@cunyum. cuny. edu..

It has been argued that belief in free will is socially consequential and psychologically universal. In this paper we look at the folk concept of free will and its critical assessment in the context of recent psychological research. Is there a widespread consensus about the conceptual content of free will? We compared English “free will” with its lexical equivalents in Lithuanian, Hindi, Chinese and Mongolian languages and found that unlike Lithuanian, Chinese, Hindi and Mongolian lexical expressions of “free will” do (...) not refer to the same concept free will. What kind people have been studied so far? A review of papers indicate that, overall, 91% of participants in studies on belief in free will were WEIRD. Thus, given that free will has no cross-culturally universal conceptual content and that most of the reviewed studies were based on WEIRD samples, belief in free will is not a psychological universal. (shrink)

Nichols and Bruno claim that the folk judge that psychological continuity is necessary for personal identity. In this article, we evaluate this claim. First, we argue that it is likely that in thinking about hypothetical cases of transformations, the folk do not use a unitary concept of personal identity, but instead rely on different concepts of ‘person’, ‘identity’, and ‘individual’. Identity can be ascribed even when post-transformation individuals are no longer categorized as persons. Second, we provide new empirical evidence suggesting (...) that the folk do not consider psychological continuity to be necessary for an individual to be categorized as a person or for ascribing identity over time and through transformations. In this, we assume, along with Nichols and Bruno, that folk judgments about identity can be read off the use of proper names. Furthermore, we raise some doubts about the ability of current experimental designs to adequately distinguish between qualitative and numerical identity jud.. (shrink)

BURLAS, Ladislav - KOPČÁKOVÁ, Slávka : Ladislav Burlas a slovenská hudobná kultúra. Prešov: Filozofická fakulta Prešovskej univerzity v Prešove. ISBN 978-80-555-1780-3. 238 s.

In this paper we report a study conducted in Mongolia on the scope of morality, that is, the extent to which people moralize different social domains. Following Turiel’s moral-conventional task, we characterized moral transgressions (in contrast to conventional transgressions) in terms of two dimensions: authority independence and generality of scope. Different moral domains are then defined by grouping such moral transgressions in terms of their content (following Haidt’s classification of morally relevant domains). There are four main results of the study. (...) First, since all five Haidtian domains were moralized by the Mongolian participants, the study provides evidence in favour of pluralism about moral domains. However, the study also suggests that the domain of harm can be reduced to the fairness domain. Furthermore, although the strong claim about reduction of all moral domains to the domain of fairness does not seem to hold a significant number of participants did indicate considerations of fairness across domains. Finally, a significant amount of participants moralized conventional transgressions a la Turiel, but it did not reach a statistical significance. (shrink)

O propósito deste artigo é analisar o olhar feminino através da narração e do mis-en-scène da série The Handmaid’s Tale, em português, O Conto da Aia (2017). A série se passa em uma sociedade distópica, regida à base da teonomia totalitária e fundamentalista cristã. As mulheres dessa sociedade perderam suas vozes, são desumanizadas, devido ao seu gênero, e tornadas objetos férteis nas mãos de seus comendadores; a narrativa e o desenvolvimento das personagens fazem alusão ao empoderamento feminino e suas lutas (...) pelos direitos civis que vêm acontecendo desde o fim século XIX. A busca por suas vozes torna-se evidente a partir da narração que ajuda a compreender a representatividade da mulher na série.Palavras-chave: The Handmaid’s Tale. Feminismo. Identidade. Narrativa. Série. (shrink)

O presente artigo procura avaliar a política de terror como estratégia de controle social a partir da constituição de uma natureza feminina e de propostas para sua remodelagem. Para tanto, foram analisadas mensagens eletrônicas (hoaxes) que circulam na internet. Tais mensagens acabam por propor a segregação social de grupos minoritários. A temática base de tal remodelagem é garantida pela difusão do terror, que serve a estratégias de controle social.

Le statut juridique des femmes et de leurs biens introduit des différences par rapport à celui des hommes, différences qui sont tantôt défendues tantôt dénoncées par les femmes elles-mêmes, selon qu’elles visent à mettre leurs biens à l’abri des prétentions des créanciers ou, au contraire, qu’elles manifestent leur volonté de tester le plus librement possible. Mais, en préalable à la différence entre hommes et femmes, se trouve le problème de la définition du droit de propriété en tant que tel. De (...) nombreux témoignages montrent en effet que celui-ci est souvent déduit d’un état de fait, plutôt que de la production d’un titre légitime. Et, à la différence de la propriété, la possession ne se décline pas selon le genre. (shrink)

Les réseaux personnels sont des ensembles de relations interpersonnelles dans lesquelles les personnes sont engagées. Toutes les études sur ces réseaux montrent l’existence de variations dans leur taille et leur composition selon les indicateurs de hiérarchie sociale, le niveau d’études, la profession ou le revenu. Ces variations peuvent être interprétées comme des « inégalités relationnelles » dans la mesure où les relations sont des ressources essentielles pour de nombreux aspects de la vie sociale. Ces ressources jouent un rôle particulièrement important (...) pour les personnes âgées lorsqu’elles sont confrontées aux diverses difficultés liées au vieillissement. À partir d’une étude sur les parcours et les réseaux de 342 personnes de soixante ans et plus, cet article évalue l’évolution de ces inégalités relationnelles selon différents types de contenus relationnels associés aux questions sur les relations. Au-delà de ces variations, les inégalités tendent à s’accroître avec l’âge, notamment entre les personnes les moins diplômées et les autres, ce qui fait apparaître des temporalités différentes du « vieillissement relationnel ». (shrink)

Apesar de terem estado entre os primeiros imigrantes europeus que chegaram, há pouco mais de 150 anos, à Serra dos Tapes, devido a sua origem étnica e condição camponesa os pomeranos foram, por muito tempo, estigmatizados. Contudo, processo de sentido contrário tem sido observado nos últimos anos, com a criação de políticas locais de valorização do patrimônio cultural pomerano. O estudo evidencia que várias dessas iniciativas são pautadasna tentativa de resgate de formas tradicionais do “ser pomerano”, processo em que o (...) modo de vida do grupo —e em particular seus saberes e práticas alimentares— tem sido convertido em atrativo turístico, oferecido ao consumo. Palavras chave:patrimônio cultural pomerano, turismo rural, alimentação, imigração, campesinato, Rio Grande do Sul, Brasil Despite being among the first European immigrants who arrived, a little over 150 years ago, at Serra dos Tapes, because of their ethnic origin and peasant condition, Pomeranians have been stigmatized for a long time. However, a reverse process has been observed in the last few years, with the establishment of local policies to safeguard and enhance the Pomeranian cultural heritage. The survey shows that many of these initiatives are grounded in the attempt to rescue traditional ways of “being Pomeranian”, a process in which the group’s way of life —and particularly their cookery knowledge and practices— has been converted into a tourism attraction focused on consumption. Key words: cultural heritage, Pomerians, rural tourism, eating, immigration, peasantry, Rio Grande do Sul, Brazil. (shrink)

In the current study, we examine the changes in disclosure practices on compliance and the fight against corruption at Siemens AG, a large German multinational corporation, over the period 2000–2011 during which a major corruption scandal was revealed. More specifically, we conduct a content analysis of the company’s annual reports and sustainability reports during that period to investigate the changes of Siemens’ corruption and compliance disclosure using both quantitative and qualitative methods. Through the lens of legitimacy theory, stakeholder analysis, and (...) organizational façades, we find evidence that Siemens changed its compliance and corruption disclosure practices to repair its legitimacy in the wake of the 2006 corruption scandal. We analyze these strategies more closely by using the rational, progressive, and reputation façades framework. Our primary findings suggest that the annual reports show peaks of disclosure amounts on corruption and compliance disclosures earlier than sustainability reports, which can be partly explained by analyzing the disclosures made about—and to—the different stakeholder groups. We find that the annual report focuses more on internal stakeholders such as employees, while the sustainability report focuses more on external stakeholders such as suppliers. We also find that the company uses the façades differently depending on which report is being analyzed. (shrink)

The core of this special issue of Arts and Humanities in Higher Education emerged from the Broken Narratives and the Lived Body conference held in 2016. The ‘Broken Narrative’ essays included in this issue open up a critical space for understanding and theorising illness narratives that defy a conventional cognitive ordering of the self as a bounded spatial and temporal entity. Here, we discuss how narratives might be ‘broken’ by discourse, trauma, ‘ill’ lived bodies and experiences that exceed linguistic representation. (...) We trouble distinctions between coherent and incoherent narratives, attending to what gaps, silences and ‘nonsenses’ can convey about embodied illness experiences. Ultimately, we suggest that ‘breaks’ are in fact a continuation of embodied narration. This is shown in the ‘Art and Trauma’ forum of essays, which reveal how narrative silences can ‘infect’ other embodied subjects and be transformed, achieving musical or visual representation that allow us to apprehend the ‘constitutive outside’ of narratives of illness or trauma. (shrink)

The AGM paradigm for belief revision provides a very elegant and powerful framework for reasoning about idealized agents. The paradigm assumes that the modeled agent is a perfect reasoner with infinite memory. In this paper we propose a framework to reason about non-ideal agents that generalizes the AGM paradigm. We first introduce a structure to represent an agent's belief states that distinguishes different status of beliefs according to whether or not they are explicitly represented, whether they are currently active and (...) whether they are fully accepted or provisional. Then we define a set of basic operations that change the status of beliefs and show how these operations can be used to model agents with different capacities. We also show how different operations of belief change described in the literature can be seen as special cases of our theory. (shrink)

I argue against the exclusive female/male divide, referring to the phenomenon of epistemic injustice in the cases of people with nonbinary gender identities and people with intersex traits. Such people have traits that are counterexamples to the binary female/male model. I have separated female and male traits into nine basic layers, five of which belong to sex and four to gender. In every layer, I have found traits that are neither female nor male, and the application of the model to (...) individuals provides examples of clusters of traits for which one layer is male and another female. Such traits and clusters of traits create the category of the nonbinary. Table 1 provides a sketch of a nonbinary model. The nonbinary category takes its name from the existing category of nonbinary gender identity; however, in the current model, it is a third category of traits, not of people. Under the nonbinary model, the basic gender concepts do not disappear. S is a woman if S is a human being with enough female traits, and the trait of having self-determined female gender identity is sufficient but not necessary. (shrink)

Summary In the epistemic frame of the biocultural turn and of the neuroaesthetics, we have developed neurohermeneutics as an approach to literature that aims at contributing to the current debate about the linkage between literary, cognitive and neuroscientific studies, focusing on the relationship between mindbrain processes mirrored in the formal features of the text and the strategies activated by the author in a text in order to guide the reader in imagining, emotionally feeling and cognitively getting meanings out of the (...) literary experience. The aim of the neurohermeneutical approach is to grasp and describe phenomenologically the mirroring process between the two extremes of the literary experience, i.e. the writer’s creative process as it is mirrored in the formal features of the literary work and the reader’s imaginative reconfiguration of the text, and what they share in common. The reader revives the mental imaginative processes of the author by creating his/her unrepeatable individual experiences of the text and subjectively redesigning it in an endless loop of features that trigger the imagination and its creative potential both while writing and by reading literature. (shrink)

A relação entre o sublime e a arte, a princípio, soa natural e certa, mas ao longo do século XVIII algumas teorias afastaram essa categoria da produção artística. Foram décadas notadamente frutíferas nas questões sobre o sublime, período em que não só o sublime recebe seu título de categoria estética como destacadamente participa das questões epistemológicas da recém cunhada disciplina Estética. Nesse cenário, alguns pensadores se voltam exclusivamente para o sublime natural. Esse artigo procurará mostrar o caminho percorrido por esse (...) conceito a partir da recepção pelos ingleses, em 1689, do tratado sobre retórica do século I d.C. intitulado Peri Hypsos, traduzido por Boileu-Despréaux como Sobre o Sublime e atribuído ao crítico grego Cassius Longinus. Visitaremos as teorias de pensadores como Joseph Addison, Edmund Burke e Immanuel Kant, que apontam para o sublime exclusivamente como contemplação da natureza, e encerraremos essa jornada na reinserção do drama trágico na categoria sublime por Friedrich Schiller. Fecha-se, dessa forma, o que chamamos aqui de “ciclo do sublime natural”, que se inicia na leitura característica dos britânicos empiristas, encontra sua mais bem acabada teoria na terceira Crítica kantiana e se encerra no trabalho teórico e literário do poeta de Weimar. (shrink)

Tradução do artigo originalmente publicado em The Southern Journal of Philosophy, Vol. XLV, 2007, pp. 565-582, intitulado Schopenhauer on the Values of Aesthetic Experience.

O objetivo desse trabalho é apresentar a proposta do filósofo Nelson Goodman para adeterminação da relação de confirmação válida entre hipóteses e enunciados de prova a partir dotratamento de David Hume para seu problema da indução. Goodman reconhece, no que ele chama de“velho” problema de Hume, uma possibilidade de se superar um grande desafio enfrentado pela filosofiada ciência: o de distinguir as inferências indutivas válidas das inválidas. Com a indicação do hábitocomo o responsável pela nossa confiança em certas inferências indutivas, (...) Hume abria passagem para aformulação, por parte de Goodman, de uma justificativa circular para a determinação da validadeindutiva. Como Goodman reconhece essa validade, e sob quais condições ela poderá ser determinada, éo que discutiremos ao longo desse artigo. (shrink)

Artykuł analizuje pojęcie sztuki żydowskiej w zapisach krytyki dwudziestolecia międzywojennego w Polsce. Rozważania o sztuce żydowskiej, dyskusje o znaczeniu sztuk pięknych dla społeczności żydowskiej w diasporze oraz roli, jaka przypadła im w budowaniu nowego narodowego uniwersum wizualnego Żydów europejskich rozpoczęły się w przededniu I wojny światowej. W niepodległej Polsce kontynuowano dyskusje o kierunkach rozwoju narodowej kultury, zarówno w kontekście niezależnego, autonomicznego życia żydowskiego, jak i relacji między kulturą polską, kulturą dominująca a peryferyjną w kontekście państwa kulturą żydowską. Na przykładzie otwartego (...) 20 maja 1928 roku Salonu Wiosennego Żydowskiego Towarzystwa Krzewienia Sztuk Pięknych widzimy, że polska krytyka artystyczna nie tylko dopiero w połowie lat dwudziestych XX wielu. dostrzegła istnienie sztuki żydowskiej, ale i nie zdawała sobie sprawy ze znaczenia ideowego konstruktu sztuki żydowskiej dla żydowskiej społeczności. Równie niewielu krytyków zdawało sobie sprawę z doniosłości istnienia odrębnej, żydowskiej instytucji artystycznej, jaką było ŻTKSP i roli Towarzystwa w rozwoju żydowskiego życia artystycznego. (shrink)

Este artículo propone una lectura de la crítica de Gilles Deleuze a la dialéctica hegeliana, con especial foco en los problemas de la negatividad y las “pasiones tristes”. A partir de allí, se evaluará si acaso existe en el pensamiento deleuziano una cierta tendencia felicista que resulta en una reducción de la diferencia, de signo inverso pero en lo demás simétrica a la que Deleuze critica en Hegel. El artículo busca mostrar que hay, en estas cuestiones, una tensión interna en (...) el pensamiento deleuziano que no puede resolverse sino por medio de una elección en la lectura. (shrink)

Pod pojęciem technik interpretacji scenicznej rozumie się działania, które łącząc recepcję tekstu literackiego z pedagogiką dramy, przyczyniają się do intensywnej analizy i interpretacji tekstów. Twórcą i głównym przedstawicielem tego nurtu dydaktyki literatury jest w Niemczech profesor nauk o estetyce i komunikacji Ingo Scheller. Swoją koncepcję pracy z tekstami literackimi Scheller zbudował na gruncie estetyki recepcji - teorii, która nadawała szczególną rolę czytelnikowi w konstytuowaniu znaczenia dzieła literackiego. Ogromny wpływ na powstanie interpretacji scenicznej wywarły także rozwijające się w latach osiemdziesiątych koncepcje (...) dydaktyczne, bazujące na kreatywnym pisaniu i kładące nacisk na powiązanie interpretacji tekstu z produktywnym działaniem czytelnika. Opracowana przez Schellera metoda interpretacji scenicznej nabrała ostatecznego kształtu pod wpływem różnorodnych teorii i koncepcji teatru, reprezentowanych m. in. przez Stanisławskiego, Grotowskiego, Boala, Strasberga i Brechta. W wyniku wieloletnich doświadczeń powstała metoda, która podkreśla znaczenie emocji i imaginacji w procesach uczenia się, pozwala rozwijać umiejętność empatii oraz respektuje indywidualne doświadczenia czytelnika. Niniejszy artykuł poświęcony jest możliwościom zastosowania technik interpretacji scenicznej w nauczaniu języków obcych. Sposoby wykorzystania poszczególnych technik na lekcjach języka niemieckiego zilustrowano na przykładzie dziewiątego rozdziału z podręcznika Tangram 2B. (shrink)

Understanding the contributions and the implications of law and emotion scholarship requires an acknowledgement of the different approaches within it. A significant part of law and emotion scholarship is focused on arguing for the relevance of emotion and on identifying emotion in legal processes and actors. Other parts of it venture further to ask how law can affect the expression and content of emotions themselves. This scholarship challenges legal positivist foundations, as well as some other established divisions in thinking, both (...) in law, and more generally in the history of ideas. The other important factor, which this article explores, is the methodology employed by law and emotion scholarship. (shrink)

The Yugoslav socialist framework enabled major advances in what concerns the legal, economic and social equality of women, advances which radically changed their traditionally subordinated family and social position. In spite of the postwar period of revolutionary enthusiasm, female political activism and the access of women intellectuals to the male-dominated spheres of journalism, diplomacy, administration and governmental offices did not exist for long. Taking into account memoirs and oral histories of five distinguished women, the article reveals the reasons for the (...) Party’s antifeminist attitudes: a) the political fear of ambitious female “quality staff ”; b) the ideological fear of the women guardians of the traditional and religious foundations of collective identity; c) a cultural mistrust toward the mobile woman who easily transcends family, social and ethnic boundaries. These biographical sources reveal that any attempt at free thought and autonomous action outside of the party line was severely punished. (shrink)

The standard theory of belief revision was developed to describe how a rational agent should change his beliefs in the presence of new information. Many interesting tools were created, but the concept of rationality was usually assumed to be related to classical logics.In this paper, we explore the fact that the logical tools used can be extended to other sorts of logics, as proved in (Hansson and Wassermann, 2002), to describe models that are closer to the rationality of a real (...) agent. (shrink)

We discuss the relation between string theory/supergravity and the observational data in cosmology, as well as at LHC, past and future. We pay particular attention to the possibility of the future detection of primordial gravitational waves and how this might affect our understanding of fundamental physics.

Drawing on philosophy, social and psychoanalytic theory, popular culture, and her own experience, Salecl explores how the passion for ignorance plays out in many different aspects of life today, from love, illness, trauma, and the fear of failure to genetics, forensic science, big data, and the Incel movement-and she concludes that ignorance is a complex phenomenon that can, on occasion, benefit individuals and society as a whole.

In late 2019, an infectious disease with a high rate of human-to-human transmission was identified in Wuhan, China, which was called Covid-19. In a short time, this disease affected several regions of the world and became a pandemic, with huge impacts on people's lives and the environment. This article aims to investigate the existing relationships between health and the environment, at the moment of confronting Covid-19 in Brazil, focusing on the socioenvironmental issues of sanitation and agglomeration and its consequences/limits for (...) prevention/care in Public Health. For the development of the research, a systematic review was carried out between May and June 2020. The article brings aspects about the industrial revolution and its relationship with life forms; the issue of sanitation, agglomeration as a reflection of geographical inequalities and their impact on combating Covid-19. Thus, there is an urgent need to understand the various health measures that dialogue with environmental, social and political actions that need to be built, in the various dimensions, in order to fight socio-environmental inequalities. (shrink)

Demographic transition faced by modern economies, including China, are among the most important long-term socio-economic challenges. In 2022, China observed its population decline for the first time since the early 1960s. The low fertility rate was of critical importance. The unprecedented one-child policy is quite commonly indicated as the main reason for the low fertility rate. However, the departure from this restrictive policy and the actions introduced under the two-child policy implemented from 2016, and then the three-child policy from mid-2021, (...) have not brought an improvement in fertility rates. The aim of the paper is to answer the following research questions: Should the decline and persistent low fertility rate in China be attributed solely or mainly to the unprecedented one-child policy, which was in force for over three decades? Fertility transition in China is the effect of several factors and depends largely on the studied period. In the 1970s and 1980s, the government’s family policy was a key determinant of the decline in fertility. However, contrary to the prevailing belief about the determining influence of the one-child policy, the first stage of the implementation of the birth control policy, the Wan, Xi, Shao program, had a greater impact. Since the 1990s, the low fertility rate has been mainly explained by the extraordinary socio-economic changes and rapidly increasing prosperity of the Chinese people. Since the beginning of the 21st century, cultural changes resulting mainly from the integration of the Chinese economy with the global system have been crucial. Cultural changes have affected reproductive behaviour, marriage patterns, marriage postponement, birth postponement, fertility, and family size in Chinese society, which is observed below-replacement fertility. China’s demographic future depends on the fertility trajectory. However, due to the size of the population, but also the position of the Chinese economy in the global economic system, Chinese demographic transition may also bring significant consequences for the global economy. (shrink)

The AGM theory of belief revision provides a formal framework to represent the dynamics of epistemic states. In this framework, the beliefs of the agent are usually represented as logical formulas while the change operations are constrained by rationality postulates. In the original proposal, the logic underlying the reasoning was supposed to be supraclassical, among other properties. In this paper, we present some of the existing work in adapting the AGM theory for non-classical logics and discuss their interconnections and what (...) is still missing for each approach. (shrink)

“Morality” is a Western term that brings to mind all sorts of associations. In contemporary Western moral psychology it is a commonplace to assume that people (presumably across all cultures and languages) will typically associate the term “moral” with actions that involve considerations of harm and/or fairness. But is it cross-culturally a valid claim? The current work provides some preliminary evidence from Mongolia to address this question. The word combination of yos surtakhuun is a Mongolian translation of the Western term (...) “moral”. However, freelisting data indicates that Mongolians do not typically associate the term yos surtakhuun with actions that involve considerations of harm and/or fairness. Instead, the most cognitively salient category is respect (khündlekh). The lack of convergence between moral and yos surtakhuun suggests that the term “moral” does not refer to universal “moral” cognition that specifically deals with harm and/or fairness. On the contrary, I would argue that the term “moral” brings to mind exclusively WEIRD associations, and yos surtakhuun brings to mind specifically Mongolian associations. Thus, pointing to different historically shaped cultural models of “moral” behavior. (shrink)

We frequently hear that we live in an age of anxiety, from 'therapy culture', the Atkins diet and child anti-depressants to gun culture and weapons of mass destruction. While Hollywood regularly cashes in on teenage anxiety through its Scream franchise, pharmaceutical companies churn out new drugs such as Paxil to combat newly diagnosed anxieties. On Anxiety takes a fascinating, psychological plunge behind the scenes of our panic stricken culture and into anxious minds, asking who and what is responsible. Putting anxiety (...) on the couch, Renata Salecl asks some much-needed questions: Is anxiety about the absence of authority or too much of it? Do the media report anxiety or create it? Are drugs a cure for anxiety or its cause? Is anxiety about being yourself or someone else, and is anxiety really the ultimate obstacle to happiness? Drawing on vivid examples from films such as the X Files and Cyrano de Bergerac , drugs used on soldiers to combat anxiety, the anxieties of love and motherhood, and fake Holocaust memoirs, Renata Salecl argues that what really produces anxiety is the attempt to get rid of it. Erudite and compelling, On Anxiety is essential reading for anyone interested in philosophy, psychology and the cultural phenomenon of anxiety today. (shrink)

In this paper we show that the class of fork squares has a complete orthodox axiomatization in fork arrow logic (FAL). This result may be seen as an orthodox counterpart of Venema's non-orthodox axiomatization for the class of squares in arrow logic. FAL is the modal logic of fork algebras (FAs) just as arrow logic is the modal logic of relation algebras (RAs). FAs extend RAs by a binary fork operator and are axiomatized by adding three equations to RAs equational (...) axiomatization. A proper FA is an algebra of relations where the fork is induced by an injective operation coding pair formation. In contrast to RAs, FAs are representable by proper ones and their equational theory has the expressive power of full first-order logic. A square semantics (the set of arrows is ᵎ x ᵎ for some set ᵎ) for arrow logic was defined by Y. Venema. Due to the negative results about the finite axiomatizability of representable RAs, Venema provided a non-orthodox finite axiomatization for arrow logic by adding a new rule governing the applications of a difference operator. We address here the question of extending the type of relational structures to define orthodox axiomatizations for the class of squares. Given the connections between this problem and the finitization problem addressed by I. Németi, we suspect that this cannot be done by using only logical operations. The modal version of the FA equations provides an orthodox axiomatization for FAL which is complete in view of the representability of FAs. Here we review this result and carry it further to prove that this orthodox axiomatization for FAL also axiomatizes the class of fork squares. (shrink)