Digraph games are cooperative TU-games associated to domination structures which can be modeled by directed graphs. Examples come from sports competitions or from simple majority win digraphs corresponding to preference profiles in social choice theory. The Shapley value, core, marginal vectors and selectope vectors of digraph games are characterized in terms of so-called simple score vectors. A general characterization of the class of (almost positive) TU-games where each selectope vector is a marginal vector is provided in terms of game semi-circuits. (...) Finally, applications to the ranking of teams in sports competitions and of alternatives in social choice theory are discussed. (shrink)

Dans l'oeuvre d'Edith Stein, l'alterite apparait comme constitutive de la personne humaine. D'un point de vue proprement subjectif, l'alterite renvoie... l'alter ego,... la dimension communautaire et, dans une perspective croyante, au Tout-Autre. D'un point de vue objectif, elle designe les valeurs, qui faconnent la personnalite, et la foi, qui vient au secours de la raison humaine. Un parcours des oeuvres principales de l'auteur permet de prendre la mesure... la fois de la continuite et de l'evolution de sa pensee. A partir (...) de l..., l'etude entreprend de mettre en evidence, d'une part, l'originalite de la pensee d'Edith Stein par rapport... celle de Husserl et, d'autre part, comment Edith Stein se situe par rapport... la pensee de Thomas d'Aquin. L'influence de l'oeuvre de Jean de la Croix est egalement abordee. Enfin, en dialogue avec des auteurs comme Ricoeur, Levinas ou Ladriere, la troisieme partie du livre aborde de maniere critique la question de l'alterite comme fondement de la personne et cela selon trois parcours, l'un lie... la phenomenologie d'Edith Stein, l'autre... sa philosophie chretienne, et le dernier... son attrait pour la mystique. (shrink)

Our lives are increasingly intertwined with the digital realm, and with new technology, new ethical problems emerge. The academic field that addresses these problems—which we tentatively call ‘digital ethics’—can be an important intellectual resource for policy making and regulation. This is why it is important to understand how the new ethical challenges of a digital society are being met by academic research. We have undertaken a scientometric analysis to arrive at a better understanding of the nature, scope and dynamics of (...) the field of digital ethics. Our approach in this paper shows how the field of digital ethics is distributed over various academic disciplines. By first having experts select a collection of keywords central to digital ethics, we have generated a dataset of articles discussing these issues. This approach allows us to generate a scientometric visualisation of the field of digital ethics, without being constrained by any preconceived definitions of academic disciplines. We have first of all found that the number of publications pertaining to digital ethics is exponentially increasing. We furthermore established that whereas one may expect digital ethics to be a species of ethics, we in fact found that the various questions pertaining to digital ethics are predominantly being discussed in computer science, law and biomedical science. It is in these fields, more than in the independent field of ethics, that ethical discourse is being developed around concrete and often technical issues. Moreover, it appears that some important ethical values are very prominent in one field (e.g., autonomy in medical science), while being almost absent in others. We conclude that to get a thorough understanding of, and grip on, all the hard ethical questions of a digital society, ethicists, policy makers and legal scholars will need to familiarize themselves with the concrete and practical work that is being done across a range of different scientific fields to deal with these questions. (shrink)

A solution for cooperative games with transferable utility, or simply TU-games, assigns a payoff vector to every TU-game. In this paper we discuss two classes of equal surplus sharing solutions. The first class consists of all convex combinations of the equal division solution and the center-of-gravity of the imputation-set value. The second class is the dual class consisting of all convex combinations of the equal division solution and the egalitarian non-separable contribution value. We provide characterizations of the two classes of (...) solutions using either population solidarity or a reduced game consistency in addition to other standard properties. (shrink)

A situation, in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (point-valued) solution for TU-games assigns a payoff distribution to every TU-game. In this article we discuss a class of equal surplus sharing solutions consisting of all convex combinations of the CIS-value, the ENSC-value and the equal division solution. We provide several characterizations of this class of solutions on variable and fixed (...) player set. Specifications of several properties characterize specific solutions in this class. (shrink)

A symmetric network consists of a set of positions and a set of bilateral links between these positions. For every symmetric network we define a cooperative transferable utility game that measures the “power” of each coalition of positions in the network. Applying the Shapley value to this game yields a network power measure, the β-measure, which reflects the power of the individual positions in the network. Applying this power distribution method iteratively yields a limit distribution, which turns out to be (...) proportional to the well-known degree measure. We compare the β-measure and degree measure by providing characterizations, which differ only in the normalization that is used. (shrink)

Digraph games are cooperative TU-games associated to domination structures which can be modeled by directed graphs. Examples come from sports competitions or from simple majority win digraphs corresponding to preference profiles in social choice theory. The Shapley value, core, marginal vectors and selectope vectors of digraph games are characterized in terms of so-called simple score vectors. A general characterization of the class of (almost positive) TU-games where each selectope vector is a marginal vector is provided in terms of game semi-circuits. (...) Finally, applications to the ranking of teams in sports competitions and of alternatives in social choice theory are discussed. (shrink)

We deal with the ranking problem of the nodes in a directed graph. The bilateral relationships specified by a directed graph may reflect the outcomes of a sport competition, the mutual reference structure between websites, or a group preference structure over alternatives. We introduce a class of scoring methods for directed graphs, indexed by a single nonnegative parameter α. This parameter reflects the internal slackening of a node within an underlying iterative process. The class of so-called internal slackening scoring methods, (...) denoted by λα, consists of the limits of these processes. It is seen that λ0 extends the invariant scoring method, while λ∞ extends the fair bets scoring method. Method λ1 corresponds with the existing λ-scoring method of Borm et al. (Ann Oper Res 109(1):61–75, 2002) and can be seen as a compromise between λ0 and λ∞. In particular, an explicit proportionality relation between λα and λ1 is derived. Moreover, the internal slackening scoring methods are applied to the setting of social choice situations where they give rise to a class of social choice correspondences that refine both the Top cycle correspondence and the Uncovered set correspondence. (shrink)

We introduce a family of proportional surplus division values for TU-games. Each value first assigns to each player a compromise between her stand-alone worth and the average stand-alone worths over all players, and then allocates the remaining worth among the players in proportion to their stand-alone worths. This family contains the proportional division value and the new egalitarian proportional surplus division value as two special cases. We provide characterizations for this family of values, as well as for each single value (...) in this family. (shrink)

It is known that peer group games are a special class of games with a permission structure. However, peer group games are also a special class of digraph games. To be specific, they are digraph games in which the digraph is the transitive closure of a rooted tree. In this paper we first argue that some known results on solutions for peer group games hold more general for digraph games. Second, we generalize both digraph games as well as games with (...) a permission structure into a model called games with a local permission structure, where every player needs permission from its predecessors only to generate worth, but does not need its predecessors to give permission to its own successors. We introduce and axiomatize a Shapley value-type solution for these games, generalizing the conjunctive permission value for games with a permission structure and the β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta $$\end{document}-measure for weighted digraphs. (shrink)

The Shapley value is the unique value defined on the class of cooperative games in characteristic function form which satisfies certain intuitively reasonable axioms. Alternatively, the Banzhaf value is the unique value satisfying a different set of axioms. The main drawback of the latter value is that it does not satisfy the efficiency axiom, so that the sum of the values assigned to the players does not need to be equal to the worth of the grand coalition. By definition, the (...) normalized Banzhaf value satisfies the efficiency axiom, but not the usual axiom of additivity. (shrink)

A cooperative game with transferable utility–or simply a TU-game– describes a situation in which players can obtain certain payoffs by cooperation. A value function for these games assigns to every TU-game a distribution of payoffs over the players. Well-known solutions for TU-games are the Shapley and the Banzhaf value. An alternative type of solution is the concept of share function, which assigns to every player in a TU-game its share in the worth of the grand coalition. In this paper we (...) consider TU-games in which the players are organized into a coalition structure being a finite partition of the set of players. The Shapley value has been generalized by Owen to TU-games in coalition structure. We redefine this value function as a share function and show that this solution satisfies the multiplication property that the share of a player in some coalition is equal to the product of the Shapley share of the coalition in a game between the coalitions and the Shapley share of the player in a game between the players within the coalition. Analogously we introduce a Banzhaf coalition structure share function. Application of these share functions to simple majority games show some appealing properties. (shrink)

The humanistic disciplines aim to offer explanations of a wide variety of phenomena. Philosophical theories of explanation have focused mostly on explanations in the natural sciences; a much discussed theory of explanation is the causal theory of explanation. Recently it has come to be recognized that the sciences sometimes offer respectable explanations that are non-causal. This paper broadens the discussion by discussing explanations that are offered in the fields of history, linguistics, literary theory, and archaeology that do not seem to (...) fit the causal theory of explanation. We conducted an exploratory survey in acclaimed humanities textbooks to find explicitly so-called explanations and analyze their nature. The survey suggests that non-causal explanations are an integral part of the humanities and that they are of distinct kinds. This paper describes three kinds that are suggested by our survey: teleological, formal, and normative explanations. We suggest that such humanistic explanations strengthen the case for explanatory pluralism. (shrink)

Women often embody the central values and practices of their religious tradition. When they leave their community, women find a part of the “religious tapestry” remaining with them long after their disengagement. In this article, we draw from research in the UK and Finland to explore women’s efforts to unlearn parts of their former religious belonging. We draw on in total thirty-five interviews with women who disengaged from the Mormon Church, Jehovah’s Witnesses and Conservative Laestadianism. We conceptualize un/learning as a (...) multi-layered process consisting of both un-learning and re-learning. We explore women’s narratives about negotiating bodily limits, conduct and belonging, and understand these as suggesting experiences of a threefold un/learning: gendered, spatial-social and epistemic. We argue that examining gendered and embodied un/learning helps to understand women’s disengagement processes from minority Christian traditions in Western and Northern European secularized contexts such as the UK and Finland. (shrink)

Vladimir Solov'ev (1853-1900- is regarded as the most original and systematic of the Russian philosophers in the 19th century. He has once again become the subject of international scholarly attention both in Slavic countries and the West. This volume contains selected papers presented at the international conference on Vladimir Solov'ev held at Nijmegen University, the Netherlands, in September 1998. The scope of this conference was wide-ranging, dealing with theological, metaphysical, philosophical and historical themes. Though Solov'ev's broad intellectual activity defies any (...) strict attempt at categorisation, the editors have classified its major themes under the dual characteristic of reconciliation and polemics. Solov'ev was passionately committed to the reconciliation of all beings under the idea of all-unity, which he attemted to achieve by engaging in uncompromising polemics with his contemporaries, The thirty contributors to this volume are specialists from Russia, Ukraine, Bulgaria, Western Europe and the United States. The volume makes a significant contribution to the intellectual reassesment of Vladimir Solov'ev since the rediscovery of his philosophical heritage in his own homeland in the 1980s. (shrink)

There has been a time in my teaching career that I used to cite in my introductory classes ‘Moral Philosophy’ from Erica Jong's Fear of Flying . The situation leading up to the quote is that the main character, Isadora, is asked a sexual favour by her brother in law, Pierre. Her answer and the subsequent dialogue read then as follows: ‘I can't’ , I said. ‘Come on,’ Pierre said, ‘I'll teach you.’ ‘I didn't mean that … I meant that (...) I can't; morally , I can…’. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Herman Daly’s Economics for a Full World: His Life and Ideas by Peter VictorJeroen Van Den Bergh (bio)Victor, Peter (2022). Herman Daly’s Economics for a Full World: His Life and Ideas. Routledge, Oxon UK and New York USA (ISBN: 978–0–367-55694-5).Herman Daly (1938–2022) spent a lifetime thinking about how to achieve a sustainable economy. In an inclusive biography, Canadian economist and environmental scientist Peter Victor discusses his ideas, critiques (...) and debates with others, while clarifying his motivations and struggles. Daly has greatly influenced others, as reflected by numerous prizes awarded to him. This influence is confirmed by original text boxes in the book that contain statements of many colleagues about his work and person, obtained through a questionnaire survey by the author.As a young man, Daly decided to study economics as he imagined it combined humanities and science. He was disappointed in it being less scientific than hoped, but his environmental concern motivated him to work on reestablishing the foundations of the field in environmental science and ethics. Daly is best known for his critique of economic growth and his alternative of the “steady-state economy.” He contributed, however, many other novel concepts and ideas during his lifetime, such as the ends-means spectrum, empty vs full world, uneconomic growth and optimal scale.Victor explains these ideas in a calm pace, showing a deep knowledge of Daly’s work. He, moreover, is able to connect it to ongoing sustainability research. He does all this in the course of thirteen chapters, covering Daly’s early life, education and career, his views on economics, his personal philosophy and the role of religion, his proposal for a steady-state economy, and his opinions on economic growth, population and migration, money and banking, and the perils of trade. [End Page 117]Ultimate endsMany consider Herman Daly to be a heterodox and even heretic economist. He associates himself with ecological economics, the field he co-founded. But while some of his ideas seem radical, many of his core proposals do not deviate substantially from mainstream economics. For instance, his “ultimate ends” concept is perfectly consistent with the broad notion of “welfare” in standard economics. In line with this, many welfare economists—such as Samuelson (1961), Mishan (1967), Hirsch (1976), Sen (1976), Scitovsky (1976) and Frank (1985)—have expressed themselves as critical of GDP (gross domestic product) dominance and growthmania (van den Bergh 2009). In fact, neoclassical economics is not married to economic growth—this is more the empirical side of macroeconomics. While Daly recognizes these subtleties, some of his followers do not.Daly sees his Protestant religion as delivering the ultimate ends, but Victor notes that this has not led to concrete suggestions. Ultimate ends based in Christian religion may be motivated by the promise of eternal (after)life, which in effect means gratifying selfish preferences. Instead, a humanistic perspective—which Daly also seems to embrace—would stress solidarity with future generations and a bioethical view of solidarity with other species. These distinct viewpoints, combined with diversity of human preferences and experiences, suggest that it will be difficult if not impossible for democratic societies to agree upon ultimate means.The Index of Sustainable Economic Welfare (ISEW), a kind of greened or sustainable GDP metric, is Daly’s most concrete elaboration of ultimate means (Daly and Cobb 1989). For many OECD (Organization for Economic Cooperation and Development) countries, it indicates a stabilization of welfare, despite continued GDP growth (Lawn 2003; Posner and Costanza 2011). As clarified by Victor, The ISEW remains close to GDP, produces a monetary measure, has a simple and transparent calculation method, and received considerably attention from theoretical and empirical angles. In view of this, it may well represent the best candidate for a beyond-GDP metric that can replace the GDP. What urgently fails is an effective institutional procedure to achieve its widespread adoption (van den Bergh 2022).Religion, evolution and biodiversityDaly’s religious standpoint make him skeptical of the modern scientific worldview which regards the world to be governed by materialism and evolution, with no role for a higher purpose or an ultimate end. This led him... (shrink)

Dem hier präsentierten Band liegt die These zugrunde, daß die Anfänge der Praxis, kunstprogrammatische Texte als Manifest zu bezeichnen, und die anschließende Hoch-konjunktur in der avantgardistischen Nomenklatur vor dem Hintergrund der problematisch gewordenen Intentionalität im Dreieck Künstler, Kunstwerk und Publikum gesehen werden muß. Den Beleg dafür tritt der vorliegende Band von drei Ansätzen aus an: Interpretation, Funktionalität und Strategie. Dabei wird ein Korpus aus verschiedenen Kunstsparten behandelt, das von literarischen Deklarationen der russischen Moderne ab 1893 bis zu postmodernen Manifesten reicht, (...) mit einem besonderen Schwerpunkt auf den Manifesten der historischen Avantgarde. Damit ist das vorliegende Buch auch als ein Beitrag zur Historiographie der Bezeichnung von Texten der Avantgarde als Manifeste, der Rolle von Manifesten in der Avantgarde und letztlich auch der Textproduktion der Avantgarde insgesamt zu verstehen. (shrink)

There is widespread understanding of the close connection between religion and the ecological crisis, and that in order to amend this crisis, theological resources are needed. This monograph seeks to contribute to this endeavor by engaging the theology of Dietrich Bonhoeffer. His theology is particularly suitable in this context, due to its open-ended nature, and to the prophetic and radical nature of the questions he was prepared to ask--that is why there are many other attempts to contextualize Bonhoeffer's theology in (...) areas that he himself has not directly written about. In this monograph, Steven van den Heuvel first of all addresses the question of how to translate Bonhoeffer's theology in a methodologically sound way. He settles on a modified form of the general method of correlation. Then, secondly, van den Heuvel sets out to describe five major concepts in Bonhoeffer's work, bringing these into critical interplay with discussions in environmental ethics and eco-theology. In making the correlations he thoroughly describes each concept, situating it in the historic and intellectual background of Bonhoeffer's time. He then transposes these concepts to contemporary environmental ethics, describing what contribution Bonhoeffer's theology can make. - back of book. (shrink)

This essay takes Arthur Danto’s end-of-art thesis as a case in point of a substantive philosophy of history. Such philosophy explains the direction that art has taken and why that direction could not have been different. Danto never scrutinized the philosophy of history that his end-of-art thesis presumes. I aim to do that by drawing a distinction between what I refer to as the common view of history and the philosophical view of history, and by arguing that we need the (...) latter if we want to properly assess the plausibility of the end-of-art thesis. (shrink)

In this paper I explore, in sections 2 and 3, respectively, Herman Dooyeweerd’s notion of naive experience and the notion of common sense as found in the writings of Thomas Reid and G. E. Moore. I argue in section 4 that naive experience and common sense are assigned a structurally similar functional role by their advocates—viz., the role of touchstone for philosophy. In the final section I stage a conversation between Dooyeweerd and Reid about the touchstones they adopt.

In Het kapitaal beschreef Karl Marx in uiterst schrille kleuren de voorgeschiedenis van de kapitalistische productiewijze. Het was een langdurig proces dat zich over eeuwen uitstrekte en waarbij kleine boeren op gewelddadige wijze van hun primaire productiemiddel, de grond, werden gescheiden en aldus in 'vrije' loonarbeiders veranderd. De kern van dit proces was de privatisering van de meent of commons, de traditioneel voor gemeenschappelijk gebruik bestemde grond.

In 1905 two different microbes were proposed to fill the vacant role of etiologic agent for syphilis, one, the Cytorrhyctes luis, by John Siegel, the other, Spirochaeta pallida, by Fritz Schaudinn. After gathering and reviewing the evidence the majority of medical scientists decided in favor of Schaudinn's candidate. In a previous issue Jean Lindenmann challenged Ludwik Fleck's suggestion that under suitable social conditions Siegel's candidate could just as well have won acceptance by the scientific community (). To refute this counterfactual (...) thesis, Lindenmann presented an asymmetric account of the dispute over the etiology of syphilis. He adopted the view of the proponents that Schaudinn's spirochete had already been there in syphilitic lesions for centuries, only awaiting the discovery of an appropriate staining technique to be revealed. Here a more symmetric analysis of the episode will be attempted, paying serious attention to the arguments put forward by the spirochete's opponents, who expatiated on the many possibilities of inadvertently creating artifacts through microscopic preparation and staining. The symmetric account that is presented in this rejoinder thus aims to trace the simultaneous construction of facts and artifacts. It will not, however, resurrect Fleck's counterfactual thesis. (shrink)

[Masaryk and Korsgaard on God and Moral Obligation: Toward a Moral Argument for the Existence of God].

In lieu of an abstract, here is a brief excerpt of the content:Thomas Reid on MemoryRené van Woudenbergthis paper is a discussion of Thomas Reid’s views on memory as an “avenue of knowledge.” Part 1 deals with various remarks Reid makes concerning memory, knowledge, and belief which he holds to be “obvious and certain.” Part contains a more detailed discussion of Reid’s thesis that “memory is unaccountable.” Part 3 inquires how Reid’s critique of the Way of Ideas fits with his (...) own views on memory.Reid’s dealings with memory are part of his broader inquiries into the intellectual faculties of the human mind. In the Essays on the Intellectual Powers of Man Reid discusses not only memory, but other avenues of knowledge as well, such as perception and reasoning. In these essays Reid is doing straight epistemology. This is not to deny that Reid addresses other topics as well. In the essay on memory, for instance, Reid criticizes John Locke’s account of personal identity. But even then his discussion focusses on epistemological matters; one of his conclusions, for example, is that Locke confounded personal identity with the evidence we have of our personal identity, a thesis, Reid points out, that is bristled with absurd consequences. Although, then, Reid’s views on memory are related with his views on personal identity, I will abstain from a discussion of the latter. His epistemology of memory, I think, warrants attention in its own right.11. memory, knowledge, and beliefI.IIn Essay III of his Essays on the Intellectual Powers of Man [1784],2 entitled “Of Memory,” Reid writes: [End Page 117]It is by memory that we have an immediate knowledge of things past. The senses give us information of things only as they exist in the present moment.(EIP 339)Memory, says Reid, gives us knowledge of things past, whereas sense perception gives us knowledge of things present. Reid takes it to be “obvious and certain” (as the title of the first chapter of Essay III indicates) that “The object of memory, or thing remembered, must be something that is past; as the object of perception... must be something which is present. What now is, cannot be an object of memory; neither can that which is past and gone be an object of perception” (EIP 340).These remarks may, however, occasion some doubts. One way of explaining Reid’s remark that the object of memory is something that is past, is that whenever someone, S, remembers something, viz., that p, p will be a proposition about something that is past.3 This explanation gives the right result for such propositions as there was snowfall in late August, and she once visited Finland4 But, as Norman Malcolm has observed, it does not always give the right results.5 For, he says, there are cases of S remembering that p, where p is not a proposition about the past. Let p be his telephone number is 2 79-289-59 75, or his car is in the garage. What is remembered, in these cases, is a proposition about something that is not past, but present (or: about what is presently the case). It is, so it seems at least, possible for S to remember the present.It even seems possible for S “to remember the future” (something Aristotle deemed impossible).6 S can remember, for instance, that the game starts at 8:00 P.M., or that there will be elections next year.No doubt some will find these suggestions preposterous. Still, we say such things as “I remember my telephone number” and “I remember the game starts at 8:00 P.M.” Someone who balks at the suggestion that we can remember present and even future things, therefore, has to find a way of dealing with these quite common modes of saying. One way would be to argue that these manners of saying are incorrect, another that they are elliptical. Since the first thesis is unconvincing (it is, after all, correct, i.e., correct English to use the expressions under consideration), we are left with the second, viz., that these modes of saying are elliptical. Can this be made acceptable? Let us see.Might... (shrink)

In computer ethics, as in other branches of applied ethics, the problem of the justification of moral judgment is still unresolved. I argue that the method which is referred to as “The Method of Wide Reflective Equilibrium” (WRE) offers the best solution to it. It does not fall victim to the false dilemma of having to choose either case‐based particularist or principle‐based universalist approaches to the problem of moral justification. I claim that WRE also provides the best model of practical (...) moral reasoning available for computer ethics. It does not pretend to provide quasi‐algorithmic procedures for moral decision‐making, but neither does it abandon the regulative ideal of communicative transparency in discursive public justification. (shrink)

Are psychiatric disorders natural kinds? This question has received a lot of attention within present-day philosophy of psychiatry, where many authors debate the ontology and nature of mental disorders. Similarly, historians of psychiatry, dating back to Foucault, have debated whether psychiatric researchers conceived of mental disorders as natural kinds or not. However, historians of psychiatry have paid little to no attention to the influence of (a) theories within logic, and (b) theories within metaphysics on psychiatric accounts of proper method, and (...) on accounts of the nature and classification of mental disorders. Historically, however, logic and metaphysics have extensively shaped methods and interpretations of classifications in the natural sciences. This paper corrects this lacuna in the history of psychiatry, and demonstrates that theories within logic and metaphysics, articulated by Christian Wolff (1679-1754), have significantly shaped the conception of medical method and (psychiatric) nosology of the influential nosologist Boissier De Sauvages (1706-1767). After treating Sauvages, I discuss the method of the influential nosologist William Cullen (1710-1790), and demonstrate the continuity between the classificatory methods of Sauvages and Cullen. I show that both Sauvages and Cullen were essentialists concerning medical diseases in general and psychiatric disorders in particular, contributing to the history of conceptions of the ontology and nature of mental disorders. (shrink)

The recent development of RNA replicating protocells and capsules that enclose complex biosynthetic cascade reactions are encouraging signs that we are gradually getting better at mastering the complexity of biological systems. The road to truly cellular compartments is still very long, but concrete progress is being made. Compartmentalization is a crucial natural methodology to enable control over biological processes occurring within the living cell. In fact, compartmentalization has been considered by some theories to be instrumental in the creation of life. (...) With the advancement of chemical biology, artificial compartments that can mimic the cell as a whole, or that can be regarded as cell organelles, have recently received much attention. The membrane between the inner and outer environment of the compartment has to meet specific requirements, such as semi‐permeability, to allow communication and molecular transport over the border. The membrane can either be built from natural constituents or from synthetic polymers, introducing robustness to the capsule. (shrink)

The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of functors on finitely complete and cocomplete categories. As an instance of this result, we build the final coalgebra for the powerclass functor, in the context of a Heyting pretopos with a class of small maps. This is then proved to provide models for various non-well-founded set theories, depending on the chosen axiomatisation (...) for the class of small maps. (shrink)