This article contains a case study of some innovative early fourteenth-century conceptions of the temporal structure of substantial change. An important tenet of thirteenth-century scholastic hylomorphism is that substantial change is an instantaneous process. In contrast, three early fourteenth-century Aristotelian commentators, first Walter Burley and then John Buridan and Albert of Saxony, progressively develop a view on which substantial change is linked to temporal duration. This process culminated, in Buridan and Albert of Saxony, with the explicit recognition of the temporally (...) extended nature of some (if not most) instances of substantial change. This article sheds light on this neglected episode in the history of late medieval hylomorphism taking as its point of departure these commentators’ discussions of the issue of minima naturalia, i.e., the issue of the lowest possible limit of any division of substantial forms coming about through the potentially infinite division of the matter they inform. In short: is there a piece of matter so small that no substantial form can possibly inhere in it? (shrink)

The doctrine of the inchoatio formae is an important feature of Albert the Great’s metaphysics and natural philosophy, as modern scholars, starting at least with Bruno Nardi’s pioneering study, have recognised. Nevertheless, the notion of the inchoatio formae as employed by Albert is usually understood to refer exclusively to the relationship between matter and substantial forms. On the contrary, in his commentary on Aristotle’s De sensu et sensato, and specifically in the context of a discussion of the so-called issue of (...) minima sensibilia, i.e., the limits to the persistence of the accidental forms of sensible qualities according to the potential infinite divisibility of the matter with which they are united (cf. De sensu 6, 445b3-446a20), Albert talks explicitly of the inchoatio formarum sensibilium (possibly a hapax legomenon in the entire corpus of his writings), therefore applying the notion of the inchoatio formae to the accidental forms of sensible qualities themselves. This article reconstructs the precise meaning and the key features of the inchoatio formarum sensibilium in the context of Albert’s De sensu commentary and of his discussion of minima sensibilia and compares it with the notion of the inchoatio formae as applied to substantial forms, showing both the important similarities and the crucial differences between them. In this way, it becomes possible not only to better understand the intrinsic richness and complexity of the concept of the inchoatio formae in Albert’s writings, but also to do justice to the variety of functions it serves throughout Albert’s metaphysics and natural philosophy. (shrink)

L’articolo si concentra sull’analisi dell’estesa comparazione tra filosofia e amicizia proposta da Dante in Convivio III, xi, interpretandola come una consapevole analogia. A partire da un’attenta esegesi del capitolo, letto come un peculiare accessus ad philosophiam dantesco, l’articolo ripercorre le tappe dell’analogia evidenziandone i principali contenuti teorici. In questo modo, diventa possibile mostrare la rilevanza del tema dell’amicizia (in particolare di quella tra maestro e allievo) per una corretta comprensione di uno degli aspetti fondamentali (e anche più dibattuti) della pratica (...) filosofica così come concepita da Dante, ovvero il suo carattere intrinsecamente collettivo. Inoltre, l’articolo sottolinea come l’amicizia costituisca per Dante uno degli strumenti essenziali per l’allargamento del sapere filosofico al di fuori dei circoli universitari, obiettivo a cui il Convivio dichiaratamente mira. The article focuses on the analysis of the extended comparison between philosophy and friendship advanced by Dante in Convivio III, xi, interpreting it as a conscious analogy. Starting from a careful exegesis of the chapter, read as Dante’s peculiar accessus ad philosophiam, the article goes through the stages of the analogy, and it highlights its main theoretical contents. In this way, it becomes possible to show the relevance of the topic of friendship (especially that between master and student) for a correct understanding of one of the fundamental (and most debated) aspects of philosophical practice as conceived by Dante, i.e., its intrinsically collective character. Moreover, the article underlines that friendship constitutes for Dante one of the essential instruments in order to broaden philosophical knowledge outside of university circles, something that the Convivio explicitly purports to do. (shrink)

This book by Roberto Esposito - a leading Italian political philosopher - is a highly original exploration of the relationship between human bodies and societies. The original function of law, even before it was codified, was to preserve peaceful cohabitation between people who were exposed to the risk of destructive conflict. Just as the human body's immune system protects the organism from deadly incursions by viruses and other threats, law also ensures the survival of the community in a life-threatening (...) situation. It protects and prolongs life. But the function of law as a form of immunization points to a more disturbing consideration. Like the individual body, the collective body can be immunized from the perceived danger only by allowing a little of what threatens it to enter its protective boundaries. This means that in order to escape the clutches of death, life is forced to incorporate within itself the lethal principle. Starting from this reflection on the nature of immunization, Esposito offers a wide-ranging analysis of contemporary biopolitics. Never more than at present has the demand for immunization come to characterize all aspects of our existence. The more we feel at risk of being infiltrated and infected by foreign elements, the more the life of the individual and society closes off within its protective boundaries, forcing us to choose between a self-destructive outcome and a more radical alternative based on a new conception of community. (shrink)

This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as (...) a simple proof of the completeness theorem and of the equivalence between Chang's MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics. (shrink)

To a greater extent than in other technical domains, research and progress in Artificial Intelligence has always been entwined with the fictional. Its language echoes strongly with other forms of cultural narratives, such as fairytales, myth and religion. In this essay we present varied examples that illustrate how these analogies have guided not only readings of the AI enterprise by commentators outside the community but also inspired AI researchers themselves. Owing to their influence, we pay particular attention to the similarities (...) between religious language and the way in which the potential advent of greater than human intelligence is presented contemporarily. We then move on to the role that fiction, science fiction most of all, has historically played and is still playing in the discussion of AI by influencing researchers and the public, shifting the weights of different scenarios in our collectively perceived probability space. We sum up by arguing that the lore surrounding AI research, ancient and modern, points to the ancestral and shared human motivations that drive researchers in their pursuit and fascinate humanity at large. These points of narrative entanglement where AI meets the wider culture should serve to amplify the call to engage ourselves with the discussion of the potential destination of this technology. (shrink)

Decision theorists have attempted to accommodate several violations of decision theory’s axiomatic requirements by modifying how agents’ choice options are individuated and formally represented. In recent years, prominent authors have worried that these modifications threaten to trivialize decision theory, make the theory unfalsifiable, impose overdemanding requirements on decision theorists, and hamper decision theory’s internal coherence. In this paper, I draw on leading descriptive and normative works in contemporary decision theory to address these prominent concerns. In doing so, I articulate and (...) assess several different criteria for individuating and formally representing agents’ choice options. (shrink)

Contemporary scholarship concerning science diplomacy is increasingly taking a historical approach. In our introduction to this special issue, we argue that this approach promises insight into science diplomacy because of the tools historians of science bring to their work. In particular, we observe that not only are historians of science currently poised to chart the diplomatic aspects involved in the transnational circulation of technoscientific knowledge, materials, and expertise. They are ready to bring critical global analysis to an important phenomenon that (...) has too often been treated as a benign diplomacy device deployed by the Global North without equal reference to the Global South. Through cases discussed in the articles of the special issue, however, we see that historically, in the Global South as well as the Global North, science diplomacy has often functioned to mediate the circulation of technoscientific knowledge and materials, and its historical study helps to better illuminate the resulting knowledge-power nexus. (shrink)

The critics of rational choice theory (RCT) frequently build on the contrast between so-called thick and thin applications of RCT to argue that thin RCT lacks the potential to explain the choices of real-world agents. In this paper, I draw on often-cited RCT applications in several decision sciences to demonstrate that despite this prominent critique there are at least two different senses in which thin RCT can explain real-world agents’ choices. I then defend this thesis against the most influential objections (...) put forward by the critics of RCT. In doing so, I explicate the implications of my thesis for the ongoing philosophical debate concerning the explanatory potential of RCT and the comparative merits of widely endorsed accounts of explanation. (shrink)

Over the last few decades, there have been intense debates concerning the effects of markets on the morality of individuals’ behaviour. On the one hand, several authors argue that markets’ ongoing expansion tends to undermine individuals’ intentions for mutual benefit and virtuous character traits and actions. On the other hand, leading economists and philosophers characterize markets as a domain of intentional cooperation for mutual benefit that promotes many of the character traits and actions that traditional virtue ethics accounts classify as (...) virtuous. In this paper, I join this debate and argue for three claims of general interest to philosophers, economists and policy makers. First, market transactions do not reliably promote individuals’ intentions for mutual benefit, and often select against such intentions. Second, the set of so-called market virtues lacks a substantial overlap with the set of character traits that traditional virtue ethics accounts classify as virtuous. And third, many seemingly virtuous actions observed in market contexts are merely actions in accordance with virtue rather than genuine actions from virtue. These three claims do not license opposition to markets, but challenge the main empirical and theoretical presuppositions of leading virtue ethics defences of markets. (shrink)

According to ‘Strong Composition as Identity’, if an entity is composed of a plurality of entities, it is identical to them. As it has been argued in the literature, SCAI appears to give rise to some serious problems which seem to suggest that SCAI-theorists should take their plural quantifier to be governed by some ‘weak’ plural comprehension principle and, thus, ‘exclude’ some kinds of pluralities from their plural ontology. The aim of this paper is to argue that, contrary to what (...) may appear at first sight, the assumption of a weak plural comprehension principle is perfectly compatible with plural logic and the common uses of plural quantification. As I aim to show, SCAI-theorists can simply claim that their theory must be understood as formulated by means of the most ‘joint-carving’ plural quantifier, thus leaving open the possibility of other, less joint-carving, ‘unrestricted’ plural quantifiers. In the final part of the paper I will also suggest that SCAI-theorists should not only allow for singular quantification over pluralities of entities, but also for plural quantification over ‘super-pluralities’ of entities. (shrink)

In this article, Roberto Esposito lays out the genealogical pathways linking the three major concepts around which his most recent work has wound its way: community, immunity, and biopolitics. Although immunity is necessary to the preservation of our life, when driven beyond a certain threshold it forces life into a sort of cage where not only our freedom gets lost but also the very meaning of our existence – that opening of existence outside itself that takes the name of (...) communitas. A hermeneutics informed by immunity can allow the category of community to regain a new political significance, without ending up in a substantialist metaphysics. This task is dictated by the urgent need for an affirmative biopolitics – a horizon of meaning – in which life would no longer be the object but somehow the subject of politics. But what sort of shape would this take? Where would we trace its symptoms? And with what objectives? A preliminary answer focuses on breaking the vise grip between public and private that threatens to crush the common, by seeking instead to expand the space of the common, in the fight, for example, against the planned privatization of water and the battle over energy sources. (shrink)

In this paper, we take up an old issue that of pragmemes, broached by Mey and further explored by Capone. It is not easy to define pragmemes and distinguish them sufficiently from speech acts (units of language use broached by Austin and Searle) or from Wittgensteinian language games or from macro speech acts (see van Dijk on macrostructures) or from Goffman’s scripts. The best idea we could develop about pragmemes is that they instantiate the triple articulation of language, proposed by (...) Jock Wong; being essentially composed of phonological-syntactic units, that have a certain content relative to a social situation and to a certain culture, pragmemes express a certain function (or illocutionary force), like, e.g., modifying society or some aspect of it. They are part of a chapter that can be called either “societal pragmatics” or “emancipatory pragmatics,” to use the words by Mey. In fact, knowledge of how language is used to diminish the rights of people and to propagate the “status quo” may be instrumental to give rights and power to ordinary human beings who are oppressed by political and economical structures. -/- . (shrink)

The work of contemporary Italian thinkers, what Roberto Esposito refers to as Italian Theory, is attracting increasing attention around the world. This book explores the reasons for its growing popularity, its distinguishing traits, and why people are turning to these authors for answers to real-world issues and problems. The approach he takes, in line with the keen historical consciousness of Italian thinkers themselves, is a historical one. He offers insights into the great "unphilosophical" philosophers of life—poets, painters, politicians and (...) revolutionaries, film-makers and literary critics—who have made Italian thought, from its beginnings, an "impure" thought. People like Machiavelli, Croce, Gentile, and Gramsci were all compelled to fulfill important political roles in the societies of their times. No wonder they felt that the abstract vocabulary and concepts of pure philosophy were inadequate to express themselves. Similarly, artists such as Dante, Leonardo Da Vinci, Leopardi, or Pasolini all had to turn to other disciplines outside philosophy in order to discuss and grapple with the messy, constantly changing realities of their lives. For this very reason, says Esposito, because Italian thinkers have always been deeply engaged with the concrete reality of life and because they have looked for the answers of today in the origins of their own historical roots, Italian theory is a "living thought." Hence the relevance or actuality that it holds for us today. Continuing in this tradition, the work of Roberto Esposito is distinguished by its interdisciplinary breadth. In this book, he passes effortlessly from literary criticism to art history, through political history and philosophy, in an expository style that welcomes non-philosophers to engage in the most pressing problems of our times. As in all his works, Esposito is inclusive rather than exclusive; in being so, he celebrates the affirmative potency of life. (shrink)

What is the relationship between persons and things? And how does the body transform this relationship? In this highly original new book, Roberto Esposito - one of Italy’s leading political philosophers - considers these questions and shows that starting from the body, rather than from the thing or the person, can help us to reconsider the status of both. Ever since its beginnings, our civilization has been based on a strict, unequivocal distinction between persons and things, founded on the (...) instrumental domination of persons over things. This opposition arose out of ancient Roman law and persisted throughout modernity, to take its place in our current global market, where it continues to generate growing contradictions. Although the distinction seems to appear clear and necessary to us, what we are continually witnessing in legal, economic, and technological practice is a reversal of perspectives: some categories of persons are becoming assimilated with things, while some types of things are taking on a personal profile. With his customary rigour, Roberto Esposito argues that there exists an escape route out of this paradox, constituted by a new point of view founded in the body. Neither a person nor a thing, the human body becomes the decisive element in rethinking the concepts and values that govern our philosophical, legal, and political lexicons. (shrink)

Discovering the influences between paintings and artists is very important for automatic art analysis. Lately, this problem has gained more importance since research studies are looking into explanations about the origin and evolution of artistic styles, which is a related problem. This paper proposes to build a multiplex artwork representation based on artistic formal concepts to gain more understanding about the aforementioned problem. We complement and built our approach on the previous notion of Creativity Implication Network. We used the recently (...) proposed MultiRank algorithm to suggest possible explanations of the dynamic of some artistic styles. Our results corroborate some well-known facts about the artists analyzed and give qualitative and quantitative information that show the possibilities and strengths of the proposed framework. We plan to expand our analysis to include more abstract artworks. Ideally, we are going to be able to validate more our results and test how our methodology could be used to generate visual artifacts too. (shrink)

Judith Jarvis Thomson (1929-2020), philosophe américaine parmi les figures les plus marquantes dans l’étude de la normativité et de l’éthique, s’est éteinte ce 20 novembre à l’âge de 91 ans. Professeure émérite au MIT, sa carrière s’est étendue sur cinq décennies consacrées à la recherche, à l’enseignement et à la publication de plusieurs articles et ouvrages sur la nature des valeurs, des normes et des droits. Parmi ses ouvrages les plus importants, nous rappelons The Realm of Rights (1990), Goodness and (...) Advice (2001) et Normativity (2008). (shrink)

Underscoring the economic significance of the Knightian distinction between risk and uncertainty, Don Katzner forcefully challenges the continued dominance of the expected utility model based on subjective probability in macroeconomic analysis and offers in its place a simple yet elegant model of decision making inspired by the pioneering work of G.L.S. Shackle. In doing so, Katzner lends support to a research program to identify a more coherent and empirically grounded theory of decision making under uncertainty. Our paper makes three contributions (...) to this program. First, we argue that the appropriate choice of a model of individual behavior under uncertainty cannot be adjudicated merely on logical, a priori grounds, but must ultimately be based on consistency with observed behavior. There are many internally consistent models and their external conditions of validity hardly ever rely on inconceivable scenarios. Second, while Katzner’s model certainly provides a plausible foundation for understanding choice under uncertainty, we suggest that it is somewhat underdetermined. It requires further theoretical articulation to yield testable predictions which differentiate it from competing approaches. Third, we discuss recent experimental findings that may need to be addressed by any satisfactory theoretical account of decision making under uncertainty. (shrink)

This paper argues that some of the misunderstandings surrounding the meaning and function of the concept of human dignity in bioethics arise from a lack of distinction between two different roles that this notion plays: one as an overarching policy principle, and the other as a moral standard of patient care. While the former is a very general concept which fulfils a foundational and a guiding role of the normative framework governing biomedical issues, the latter reflects a much more concrete (...) and context-specific understanding of the patient as a “person”. The importance of dignity as a policy principle will be described by appealing to the distinction between principles and rules as developed by some legal philosophers. The value of dignity as a standard of patient care will be illustrated with the help of concrete examples and by drawing on the taxonomies of dignity proposed by Jonathan Mann and other scholars. The overall scope of the article is to highlight this double and complementary role of human dignity in bioethics. (shrink)

In recent years, several authors advocated neuroscience imperialism, an instance of scientific imperialism whereby neuroscience methods and findings are systematically applied to model and explain phenomena investigated by other disciplines. Calls for neuroscience imperialism target a wide range of disciplines, including psychology, economics, and philosophy. To date, however, neuroscience imperialism has not received detailed attention by philosophers, and the debate concerning its identification and normative assessment is relatively underdeveloped. In this paper, I aim to remedy this situation by making some (...) conceptual distinctions about neuroscience imperialism and by providing a normative assessment of prominent calls in its favour. I shall articulate and defend two interrelated claims that, I argue, undermine prominent calls for neuroscience imperialism. First, the proponents of neuroscience imperialism significantly overstate the evidential and explanatory relevance of neuroscience methods and findings for the disciplines they target. And second, prominent calls for neuroscience imperialism point to an untenable reductionist position, which rests on unsupported empirical and normative presuppositions. To substantiate these two claims, I shall draw on two sets of influential calls for neuroscience imperialism, which respectively target the economic modelling of choice and entrenched philosophical conceptions of free agency. (shrink)

and in Sect. 5 should be reformulated as follows.

In Christianity, Otherization and Contemporary Politics, Roberto E. Alejandro argues that the identity politics of the American far-left follow an identity paradigm established by early Christian thinkers, and warns that such politics may incline towards the same violence Christianity succumbed to once imbued with political power.

In The Crucifixion and Resurrection of Freddie Gray, Roberto E. Alejandro argues that confessional commitments related to race, society, and structure dominated the interpretation of Gray’s death, stripping the man and his significance from a grieving, impoverished community.

The book is divided into three parts. The first, containing three papers, focuses on the characterization of the central tenets of previii sentism (by Neil McKinnon) and eternalism (by Samuel Baron and Kristie Miller), and on the ‘sceptical stance’ (by Ulrich Meyer), a view to the effect that there is no substantial difference between presentism and eternalism. The second and main section of the book contains three pairs of papers that bring the main problems with presentism to the fore and (...) outlines its defence strategy. Each pair of papers in this section can be read as a discussion between presentists and eternalists, wherein each directly responds to the arguments and objections offered by the other. This is a discussion that is sometimes absent in the literature, or which is at best carried out in a fragmented way. The first two papers of the section deal with the problem of the compatibility of Special Relativity Theory (SRT) and presentism. SRT is often considered to be a theory that contradicts the main tenet of presentism, thereby rendering presentism at odds with one of our most solid scientific theories. Christian Wüthrich’s paper presents arguments for the incompatibility of the two theories (SRT and presentism) within a new framework that includes a discussion of further complications arising from the theory of Qauantum Mechanics. Jonathan Lowe’s paper, by contrast, develops new general arguments against the incompatibility thesis and replies to Wüthrich’s paper. The second pair of papers focuses on the problem that presentists face, in providing grounds for past tensed truths. In the first (by Matthew Davidson), new arguments are provided to defend the idea that the presentist cannot adequately explain how what is now true about the past is grounded, since for the presentist the past is completely devoid of ontological ground. The second paper (by Brian Kierland) takes up the challenge of developing a presentist explanation of past truths, beginning by outlining some existing views in the literature before advancing an original proposal. (shrink)

Alessandro Torza argues that Ted Sider’s Lewisian argument against vague existence is insufficient to rule out the possibility of what he calls ‘super-vague existence’, that is the idea that existence is higher-order vague, for all orders. In this chapter it is argued that the possibility of super-vague existence is ineffective against the conclusion of Sider’s argument since super-vague existence cannot be consistently claimed to be a kind of linguistic vagueness. Torza’s idea of super-vague existence seems to be better suited to (...) model vague existence under the assumption that vague existence is instead a form of ontic indeterminacy, contra what Ted Sider and David Lewis assume. (shrink)

Volume 19, Issue 9, September 2019, Page 37-39.

The classical Glivenko theorem asserts that a propositional formula admits a classical proof if and only if its double negation admits an intuitionistic proof. By a natural expansion of the BCK-logic with negation we understand an algebraizable logic whose language is an expansion of the language of BCK-logic with negation by a family of connectives implicitly defined by equations and compatible with BCK-congruences. Many of the logics in the current literature are natural expansions of BCK-logic with negation. The validity of (...) the analogous of Glivenko theorem in these logics is equivalent to the validity of a simple one-variable formula in the language of BCK-logic with negation. (shrink)

Supervaluationism holds that the future is undetermined, and as a consequence of this, statements about the future may be neither true nor false. In the present paper, we explore the novel and quite different view that the future is abundant: statements about the future do not lack truth-value, but may instead be glutty, that is both true and false. We will show that (1) the logic resulting from this “abundance of the future” is a non-adjunctive paraconsistent formalism based on subvaluations, (...) which has the virtue that all classical laws are valid in it, while no formula like φ ∧ ¬φ is satisfiable (though both φ and ¬φ may be true in a model); (2) The peculiar behaviour of abundant logical consequence has an illuminating analogy in probability logic; (3) abundance preserves some important features of classical logic (not preserved in supervaluationism) when it comes to express those important retrogradations of truth which are presupposed by the argument de praesenti ad praeteritum. (shrink)

Alejandro offers a theoretical reflection on citizenship as a political category that could make possible a collective identity defined by the citizens' interpretations of traditions and their participation in the public sphere as well as their construction of a hermeneutic historical consciousness. This reflection seeks to pave the way for a vision of citizenship as a space of fluid boundaries within which there is room for diverse and even conflicting understandings of individuality, community, and public identity. Paper edition (unseen), $17.95. (...) Annotation c. by Book News, Inc., Portland, Or. (shrink)

In this paper I start from a definition of “culture of the artificial” which might be stated by referring to the background of philosophical, methodological, pragmatical assumptions which characterizes the development of the information processing analysis of mental processes and of some trends in contemporary cognitive science: in a word, the development of AI as a candidate science of mind. The aim of this paper is to show how (with which plausibility and limitations) the discovery of the mentioned background might (...) be dated back to a period preceding the cybernetic era, the decade 1930–1940 at least. Therefore a somewhat detailed analysis of Hull's “robot approach” is given, as well as of some of its independent and future developments. -/- Reprinted in R.L. Chrisley (ed.), Artificial Intelligence: Critical Concepts in Cognitive Science, vol. 1, Routledge, London and New York, 2000, pp. 301-326. (shrink)

The aim of this paper is to give a description of the free algebras in some varieties of Glivenko MTL-algebras having the Boolean retraction property. This description is given (generalizing the results of [9]) in terms of weak Boolean products over Cantor spaces. We prove that in some cases the stalks can be obtained in a constructive way from free kernel DL-algebras, which are the maximal radical of directly indecomposable Glivenko MTL-algebras satisfying the equation in the title. We include examples (...) to show how we can apply the results to describe free algebras in some well known varieties of involutive MTL-algebras and of pseudocomplemented MTL-algebras. (shrink)

Using the theory of BL-algebras, it is shown that a propositional formula ϕ is derivable in Łukasiewicz infinite valued Logic if and only if its double negation ˜˜ϕ is derivable in Hájek Basic Fuzzy logic. If SBL is the extension of Basic Logic by the axiom (φ & (φ→˜φ)) → ψ, then ϕ is derivable in in classical logic if and only if ˜˜ ϕ is derivable in SBL. Axiomatic extensions of Basic Logic are in correspondence with subvarieties of the (...) variety of BL-algebras. It is shown that the MV-algebra of regular elements of a free algebra in a subvariety of BL-algebras is free in the corresponding subvariety of MV-algebras, with the same number of free generators. Similar results are obtained for the generalized BL-algebras of dense elements of free BL-algebras. (shrink)

Proper n-valued ukasiewicz algebras are obtained by adding some binary operators, fulfilling some simple equations, to the fundamental operations of n-valued ukasiewicz algebras. They are the s-algebras corresponding to an axiomatization of ukasiewicz n-valued propositional calculus that is an extention of the intuitionistic calculus.

The interpretation of propositions in Lukasiewicz's infinite-valued calculus as answers in Ulam's game with lies--the Boolean case corresponding to the traditional Twenty Questions game--gives added interest to the completeness theorem. The literature contains several different proofs, but they invariably require technical prerequisites from such areas as model-theory, algebraic geometry, or the theory of ordered groups. The aim of this paper is to provide a self-contained proof, only requiring the rudiments of algebra and convexity in finite-dimensional vector spaces.

Most discussions of Rawls’s philosophy tend to neglect the strong communitarian strand of his theory: so much so that in the debate between liberals and communitarians Rawls’s account of community has been for the most part intriguingly absent. This article is an attempt to fill in the gap by offering a discussion of the Rawlsian understanding of community as it was presented inA Theory of Justiceand its possible implications for a pluralist society. At the same time, I want to take (...) issue with one of the most influential critiques leveled against Rawls’s conception of the self: namely, Sandel’s critique of the ‘individuated subject’ that, in his view, underlies justice as fairness. Rawls’s constructions, so Sandel argues, rest on an unencumbered self that is individuated in advance and whose identity is fixed once and for all. (shrink)

In the standard Okishio-Morishima approach, the existence of profits is proved to be equivalent to the exploitation of labor. Yet, it can also be proved that the existence of profits is equivalent to the “exploitation” of any good. Labor and commodity exploitation are just different numerical representations of the productiveness of the economy. This paper presents an alternative approach to exploitation theory which is related to the “New Interpretation” (Duménil 1980; Foley 1982). In this approach, labor exploitation captures unequal social (...) relations among producers. The equivalence between the existence of profits and labor exploitation holds, whereas it is proved that there is no relation between profits and commodity “exploitation.”. (shrink)

Aim of this paper is to provide a self-contained presentation of the natural equivalence between MV-algebras and lattice-ordered abelian groups with strong unit.