In this paper, constructions of free algebras corresponding to multiplicative classical linear logic, its affine variant, and their extensions with -contraction () are given. As an application, the cardinality problem of some one-variable linear fragments with -contraction is solved.

In this paper, we consider multiplicative-additive fragments of affine propositional classical linear logic extended with n-contraction. To be specific, n-contraction (n 2) is a version of the contraction rule where (n+ 1) occurrences of a formula may be contracted to n occurrences. We show that expansions of the linear models for (n + 1)- valued ukasiewicz logic are models for the multiplicative-additive classical linear logic, its affine version and their extensions with n-contraction. We prove the finite axiomatizability for the classes (...) of finite models, as well as for the class of infinite linear models based on the set of rational numbers in the interval [0, 1]. The axiomatizations obtained in a Gentzen-style formulation are equivalent to finite and infinite-valued ukasiewicz logics. (shrink)

In this paper, we introduce connectification operators for intuitionistic and classical linear algebras corresponding to linear logic and to some of its extensions withn-contraction. In particular,n-contraction (n2) is a version of the contraction rule, wheren+1 occurrences of a formula may be contracted ton occurrences. Since cut cannot be eliminated from the systems withn-contraction considered most of the standard proof-theoretic techniques to investigate meta-properties of those systems are useless. However, by means of connectification we establish the disjunction property for both intuitionistic (...) and classical affine linear logics withn-contraction. (shrink)

In this paper, constructions of free ordered algebras on one generator are given that correspond to some one-variable fragments of affine propositional classical logic and their extensions with n-contraction (n ≥ 2). Moreover, embeddings of the already known infinite free structures into the algebras introduced below are furnished with; thus, solving along the respective cardinality problems.

In this paper, constructions of free ordered algebras on one generator are given that correspond to some one-variable fragments of affine propositional classical logic and their extensions with n-contraction. Moreover, embeddings of the already known infinite free structures into the algebras introduced below are furnished with; thus, solving along the respective cardinality problems.

This paper deals with some strengthenings of the non-directional product-free Lambek calculus by means of additional structural rules. In fact, the rules contraction and expansion are restricted to basic types. For each of the presented systems the usual proof-theoretic notions are discussed, some new concepts especially designed for these calculi are introduced reflecting their intermediate position between the weaker and the stronger sequent-systems.

The main purpose of this note is to present "difficult" embeddings of minimal and full intuitionistic logic into classical linear logic, and to prove their soundness and faithfulness. Moreover, it is also pointed out that Girard's translation of intuitionistic logic into classical linear logic is provably equivalent to one of the translations considered in this paper.

What does it take to be subjectively free in an objectively rational social order? In this book Andreja Novakovic offers a fresh interpretation of Hegel's account of ethical life by focusing on his concept of habit or 'second nature'. Novakovic addresses two central and difficult issues facing any interpretation of his Philosophy of Right: why Hegel thinks that it is is better to relate unreflectively to the laws of ethical life, and which forms of reflection, especially critical reflection, remain (...) available within ethical life. Her interpretation draws on numerous parts of Hegel's system, particularly on his 'Anthropology' and his Phenomenology of Spirit, and also explores connections between his account and those of other philosophers. Her aim is to argue that Hegel has a compelling conception of the ordinary ethical standpoint which takes seriously both the virtues and the perils of reflection. (shrink)

Hegel frequently identifies ethical life with a “second nature.” This strategy has puzzled those who assume that second nature represents a deficient appearance of ethical life, one that needs to be overcome, supplemented, or constantly challenged. I argue that Hegel identifies ethical life with a second nature because he thinks that a social order only becomes a candidate for ethical life, if it provides a context conducive to the development of what I call “real habits.” First, I show that a (...) criterion for a real habit can be found in Hegel's Anthropology, namely, that of liberation. Next, I explain how the state, as Hegel analyzes it in the Philosophy of Right, provides such an environment by enabling trust toward and within it. I then consider two literary examples of contexts that fail to be similarly supportive—Coates' Between the World and Me and Atwood's Handmaid's Tale—concluding with reasons for thinking that real habits are an integral part of ethical life. (shrink)

Kaj učimo, ko v sodobni slovenski gimnaziji učimo latinsko? S kakšnimi cilji vstopamo v razrede, kaj pričakujemo, da bodo naši dijaki znali? Navedena vprašanja so le na videz preprosta. V najbolj pragmatičnem smislu nanje odgovarja veljavni učni načrt za latinščino, ki niza cilje pouka in s tem pričakovane zmožnosti dijakov. V tem prispevku skušam slednje osvetliti z zornega kota prakse in sicer z vpogledom v slovensko državno tekmovanje v znanju latinščine, namenjeno di­jakom tretjega letnika gimnazije. Ob tem izhajam iz predpostavke, (...) da je tekmovalne naloge moč vsaj do določene mere imeti za »praktično« dopolnilo učnemu načrtu, za dovolj reprezentativne odgovore na vpra­šanje, kaj si pod začrtanimi cilji predstavljamo povsem pragmatično, in tako tudi za ilustrativen prikaz naših skupnih pričakovanj o tem, katere kompetence naj bi dijaki po skoraj treh letih gimnazijskega učenja imeli. Tekmovalne naloge, deloma pa tudi dileme, ki jih pred ocenjevalce postavlja točkovanje odgovorov, mi obenem služijo kot osnova za razmislek o tem, kje ležijo prednosti in didaktični izzivi sodobnega pouka latinščine. (shrink)

The paper analyses a short scene that forms part of the opening of Sophocles’ Aias : Aias, suffering from the madness that was inflicted upon him by Athena, is displayed by the goddess to Odysseus. In the corpus of extant ancient drama, this inset appears to be unique. Its expressive power is derived from the scene’s specific structure that doubles the integral elements of theatre. The paper suggests the reasons why the scene has often been labeled “a play-within-a-play,” describing and (...) illustrating the elements that can be paralleled with the structural components of theatre. Taking as basis concepts and ideas proposed by modern theatre theoreticians, the paper argues that the essence of the performative dimension of the scene is to be found in the phenomenon of the “ostentation act” first described by Umberto Eco. Tracing the meaning of the inset within the tragedy as a whole, the paper emphasizes the fact that the “ostentation” in Aias is a divine creation, and examines how Odysseus, a privileged recipient of the spectacle, reacts to the display of Aias’ shameful condition. (shrink)

This book aims to re-think the way in which the subject is inscribed in the modern political, and does so by exploring the potentiality of Lacano-Deleuzian theoretical framework. It concerns a different ontology and a non-dualist understanding of political and legal existence, by focusing on questions such as _how to think alternative notions of political existence_ and _what kind of political, social and legal order do these come to create. _ This investigation into political appearance of subjects through concepts of (...) law, body and life is led and influenced by the thought of Gilles Deleuze and Jacques Lacan, as well as Alain Badiou, Antonio Negri and Slavoj Žižek. The book takes on various conceptualisations of life, explores the relationship between law and life and develops an alternative notion of legal and political existence in particular in the context of rights. On the back of Guantánamo’s legal and political discourses this work aims to show why and how the problems of world politics or the limitations of rights discourse require an engagement with questions such as what it means to exist as a human being, what forms of life are politically recognised, which are not, and why this distinction. By pointing to a different ontology for thinking and understanding global politics and demonstrating how a trans-disciplinary and philosophical approaches can foster the debates in world politics, this book will be of interest to postgraduates and scholars working on critical normative ideas in international politics, critical security studies and critical legal studies. (shrink)

This article explores how the Slovenian women's lifestyle magazine Naša žena (Our Woman) helped the Yugoslavian socialist project construct and shape the ideal socialist woman, and argues that she became the crucial ally in implementing socialist ideas in the everyday lives of Slovenians. The article shows how texts on food preparation and consumption, as well as those touching on household management and family care, published in Naša žena from 1960 to 1991 played an important part in the ‘civilising’ process that (...) shaped behaviour, directed cultural and social practices, influenced social relations and constructed women's identities during socialism. We show how food-related texts (articles, recipes, columns, advertisements and advertorials) were never far removed from the larger political and economic socialist realities. In fact, they bore witness to changes in living standards and told stories about gender regimes, socialist ideologies and fantasies. These texts belong to a corpus of social transcripts that guide collective understandings of what it means to select, prepare, cook and eat food; what constitutes good cooking and eating; and who is responsible for preparing meals. Despite official socialist feminist rhetoric about freeing women from backward patriarchal arrangements, this article shows that texts offering food-related advice in socialist Yugoslavia contained explicit instructions for the ‘correct’ performance of the social roles of women, legitimising women's roles as worker, mother, wife and housekeeper. Above all, a woman was to be an ‘engineer’ of the private domain whose goals were to feed her family and keep the nation healthy and hence productive, and to modernise her kitchen in support of the technological and economic development of Yugoslavia. (shrink)

This paper takes the removal of the Colston statue in Bristol in the summer of 2020 and the accompanying Black Lives Matter protest as a political setting which can help us explore the radical political potential of Ari Hirvonen’s work. In this intervention I return to some of the themes that his work continuously engages with (such as the question of the limits, transgressions of law, and ethical acts), and re-think them in the context of racial justice. This think-piece opens (...) with reconsideration of ethics and politics drawing on Hirvonen’s brilliant readings of the Antigone and his last book Ethics of Tragedy. By reading transgressions of law as forms of (productive) perversions, this intervention, explores ways in which a different kind of politics might emerge. If in most of his works, Hirvonen saw radical democracy as a vehicle for socio-political transformation, his last work, I argue, moves towards radical even revolutionary transformations. Here I propose to read actions taken by the contemporary racial justice groups as an attempt to embody ‘perversion as rebellion’ or perversion as resistance (both ideas found in Hirvonen’s work). (shrink)

When anti-racist protestors toppled the statue of Edward Colston in Bristol in June 2020, British political elites across the left-rights spectrum, despite acknowledging that a statue of a slave trader has no place in the contemporary politics, called to firm the application of law and order. Through the example of Edward Colston, the essay examines what Lacan’s idea of perversion can reveal about the power relations between political elites and anti-racist protestors. It opens by discussing the impossibility of ethics in (...) political contexts, before turning to the question of jouissance and its role in the creation of a racialised other and political institutions (and myths of white supremacy). If jouissance of the other racialises the other as deviant, pervert’s jouissance is de-personalised and made to follow “a greater good”. In doing so, the essay argues that perversion reveals the logics of racial hierarchies, which underpin and maintain modern society. (shrink)

Hegel never wrote a treatise on the philosophy of history, though he lectured regularly on the subject between 1818 and 1831 in Berlin. The posthumously publish.

In the Preface to the Philosophy of Right, Hegel draws a favourable comparison between his project and Plato’s Republic, while making a critical comment about an example taken from Plato’s Laws. In...

Hegel's Science of Logic tracks the self-contained and self-generated development of what Hegel calls the concept. My question is: can the concept in the Logic surprise itself? I argue that the answer to that question is yes—the concept can surprise itself when it rediscovers itself in a place it did not expect to be. I first clarify the kind of perspective that the Logic asks us as readers to occupy and its difference from the perspective inside the ‘opposition’ of consciousness. (...) I then provide an example of the concept's self-surprise, namely, the transition from subjective to realized purpose in the Subjective Logic. I conclude by drawing out some implications of self-surprise for Hegel's method in the Logic and in the subsequent Realphilosophie. (shrink)

Cette étude se concentrera sur le rapport entre la représentation de Dieu dans la Bible et celle dans le cinéma. Comment la transcendance estelle représentée et à quoi la christologie ressembletelle dans la production cinématographique d’une époque qui, soit néglige le religieux et le transcendental, soit tente de le réduire à un cadre intellectuel ? Comment le Christ diffèretil dans les films de Pasolini, de Zeffirelli ou de Gibson ? Jésus Christ le Sauveur peutil être remplacé par le héros d’un (...) film d’action ? Cette étude examinera également la religion d’un autre point de vue, celui de la question de savoir si elle a véritablement disparu de la vie publique comme il est parfois supposé. Comment les idées sur Dieu sontelles utilisées ou malmenées par certains hommes politiques et dirigeants, à l’instar d’Oussama ben Laden, Saddam Hussein ou George W. Bush ? Que faire lorsque les médias nous permettent de nous rendre compte de la politisation de la religion et la « religionalisation » de la politique ? (shrink)

The study will focus on the relationship between the representations of God’s image in the Bible and on film. How is transcendence presented and what is Christology like in film production in the time that is either negligent of the religious and the transcendental or tries to reduce it to a matter of human intellect? How does Christ differ in the films by Pasolini, Zeffirelli and Gibson? Can Jesus Christ the Saviour be replaced by a popular action movie hero? The (...) paper will deal with religion from another perspective, namely, it will try to see whether religion has truly disappeared from the public life as it is sometimes assumed. How were the ideas about God used or misused by some politicians and leaders, such as Osama bin Laden, Saddam Hussein, and George W. Bush? What to do if the media enable us to perceive how religion is made political and how politics is made religionist? (shrink)

Ova će se studija usredotočiti na odnos između načina predočavanja Boga u Bibliji i na filmu. Kako se prikazuje transcendencija i kako kristologija izgleda u filmskoj produkciji u vremenu koje se ili nemarno odnosi prema religioznom i transcendentalnom ili ga pokušava sažeti u doseg ljudskog intelekta? Kako se Krist razlikuje u filmovima koje su režirali Pasolini, Zeffirelli i Gibson? Može li se Isus Krist Spasitelj zamijeniti popularnim filmskim akcijskim junakom? Istraživanje će religiju istražiti i iz jedne druge perspektive, naime je (...) li ona doista nestala iz javnoga života kao što se ponekad pretpostavlja. Kako ideje o Bogu upotrebljavaju ili zloupotrebljavaju neki političari ili vođe, kao što su Osama bin Laden, Saddam Hussein, George W. Bush? Što učiniti kad nam mediji omoguće da uočimo politizaciju religije i religizaciju politike? (shrink)

Die Studie macht das Verhältnis zwischen den Darstellungen des Gottes in der Bibel und jenen im Film zum Fokus. Auf welche Art und Weise wurde die Transzendenz präsentiert und wie die Christologie in der Filmproduktion erscheint, zu Zeiten, die sich als nachlässig gegenüber dem Religiösen sowie Transzendentalen zeigen, beziehungsweise beides auf eine Sache des menschlichen Intellekts zu reduzieren gedenken? Wie verschieden ist Christus in den Filmen Pasolinis, Zeffirellis und Gibsons? Kann Jesus Christus, der Heiland, durch einen populären Aktionsfilmhelden ersetzt werden? (...) Die Arbeit setzt sich mit der Religion aus einem anderen Blickwinkel auseinander, nämlich versuche ich festzustellen, ob die Religion tatsächlich aus dem öffentlichen Leben verschwunden ist wie mitunter angenommen. In welcher Manier wurden die Ideen von Gott von bestimmten Politikern und Führern gebraucht bzw. missbraucht, wie zum Beispiel Osama bin Laden, Saddam Hussein und George W. Bush? Was gilt es zu tun, wenn uns die Medien ermöglichen, wahrzunehmen, wie die Religion politisiert und die Politik religionisiert wird? (shrink)

Critique of Forms of Life, by JaeggiRahel, trans. Ciaran Cronin. Cambridge, MA: Harvard University Press, 2018. Pp. xx + 395.

European Journal of Philosophy, EarlyView.

Proportionality in Action presents an empirical and comparative exploration of the proportionality doctrine, based on detailed accounts of the application of the framework by apex courts in six jurisdictions: Germany, Canada, South Africa, Israel, Poland and India. The analysis of each country is written and contextualized by a constitutional scholar from the relevant jurisdiction. Each country analysis draws upon a large sample of case law and employs a mixed methodological approach: an expansive coding scheme allows for quantitative analysis providing comparable (...) and quantifiable measurements, which is enriched by qualitative analysis that engages with the substance of the decisions and captures nuance, contextualizing the data and providing it with meaning. The book concludes with a comparative chapter that synthesizes some of the most interesting findings. Focusing on deviations of the practice of proportionality from theory, the authors conclude their argument in support of an integrated approach to the application of proportionality. (shrink)

One of the most famous problems in the decision-making literature is the “bat and a ball” problem from the cognitive reflection test (CRT; Frederick, 2005). The problem goes as follows: „A bat and...

This study provided a content analysis of studies aiming to disclose how artificial intelligence has been applied to the education sector and explore the potential research trends and challenges of AI in education. A total of 100 papers including 63 empirical papers and 37 analytic papers were selected from the education and educational research category of Social Sciences Citation Index database from 2010 to 2020. The content analysis showed that the research questions could be classified into development layer, application layer, (...) and integration layer. Moreover, four research trends, including Internet of Things, swarm intelligence, deep learning, and neuroscience, as well as an assessment of AI in education, were suggested for further investigation. However, we also proposed the challenges in education may be caused by AI with regard to inappropriate use of AI techniques, changing roles of teachers and students, as well as social and ethical issues. The results provide insights into an overview of the AI used for education domain, which helps to strengthen the theoretical foundation of AI in education and provides a promising channel for educators and AI engineers to carry out further collaborative research. (shrink)

European Journal of Philosophy, Volume 29, Issue 1, Page 279-282, March 2021.