I argue that if we read E. H. Gombrich's Art and Illusion with the charity that it deserves, we will find a much subtler theory of depiction than the illusion theory that is usually attributed to Gombrich. Instead of suggesting that pictures are illusory because they cause us to have experiences as of seeing the depicted objects face to face, I argue that Art and Illusion is better read as making the point that naturalistic pictures are illusory because they cause (...) us to see qualities and properties that the pictures themselves do not possess. Once we appreciate this point, we will be in a better position to appraise the value and limits of naturalistic art. (shrink)

Advanced AI systems are rapidly making their way into medical research and practice, and, arguably, it is only a matter of time before they will surpass human practitioners in terms of accuracy, reliability, and knowledge. If this is true, practitioners will have a prima facie epistemic and professional obligation to align their medical verdicts with those of advanced AI systems. However, in light of their complexity, these AI systems will often function as black boxes: the details of their contents, calculations, (...) and procedures cannot be meaningfully understood by human practitioners. When AI systems reach this level of complexity, we can also speak of black-box medicine. In this paper, we want to argue that black-box medicine conflicts with core ideals of patient-centered medicine. In particular, we claim, black-box medicine is not conducive for supporting informed decision-making based on shared information, shared deliberation, and shared mind between practitioner and patient. (shrink)

The mechanistic view of computation contends that computational explanations are mechanistic explanations. Mechanists, however, disagree about the precise role that the environment – or the so-called “contextual level” – plays for computational explanations. We advance here two claims: Contextual factors essentially determine the computational identity of a computing system ; this means that specifying the “intrinsic” mechanism is not sufficient to fix the computational identity of the system. It is not necessary to specify the causal-mechanistic interaction between the system and (...) its context in order to offer a complete and adequate computational explanation. While the first claim has been discussed before, the second has been practically ignored. After supporting these claims, we discuss the implications of our contextualist view for the mechanistic view of computational explanation. Our aim is to show that some versions of the mechanistic view are consistent with the contextualist view, whilst others are not. (shrink)

The mechanistic view of computation contends that computational explanations are mechanistic explanations. Mechanists, however, disagree about the precise role that the environment – or the so-called “contextual level” – plays for computational explanations. We advance here two claims: Contextual factors essentially determine the computational identity of a computing system ; this means that specifying the “intrinsic” mechanism is not sufficient to fix the computational identity of the system. It is not necessary to specify the causal-mechanistic interaction between the system and (...) its context in order to offer a complete and adequate computational explanation. While the first claim has been discussed before, the second has been practically ignored. After supporting these claims, we discuss the implications of our contextualist view for the mechanistic view of computational explanation. Our aim is to show that some versions of the mechanistic view are consistent with the contextualist view, whilst others are not. (shrink)

The emergentist position that R. Keith Sawyer has formulated, nonreductive individualism, contains three propositions. First, that social characteristics must always be realized in individuals; second, that it is nevertheless possible to understand social properties as irreducible; and third, that therefore it is possible to demonstrate how social properties are able to exercise independent causal influences on individuals and their properties. It is demonstrated that Sawyer is not able to meet an objection that Kim has formulated against the analogous position in (...) the philosophy of mind. In his defense of the claim of irreducibility Sawyer refers to Fodor’s argument about multiple realizability, but this line of argument cannot preserve the claim for downward causation because Fodor’s claim for irreducibility rests on assumptions that are not compatible with a systematic formulation of downward causation. The article proposes a reading of Fodor’s argument that is consistent with individualism but not with nonreductive individualism. (shrink)

To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...) one prominent statement by Kant. I will argue, however, that this statement takes on a very different meaning in a broader context of the history and philosophy of science, and that Kant and his supporters never advocated the logical monism that they are still said to hold today. (shrink)

Logic diagrams have been increasingly studied and applied for a few decades, not only in logic, but also in many other fields of science. The history of logic diagrams is an important subject, as many current systems and applications of logic diagrams are based on historical predecessors. While traditional histories of logic diagrams cite pioneers such as Leibniz, Euler, Venn, and Peirce, it is not widely known that Kant and the early Kantians in Germany and England played a crucial role (...) in popularising Euler(-type) diagrams. In this paper, the role of the Kantians in the late eighteenth and early nineteenth centuries will be analysed in more detail. It shows that diagrams (or intuition in general) were a highly contentious topic that depend on the philosophical attitude and went beyond logic to touch on issues of physics, metaphysics, linguistics and, above all, mathematics. (shrink)

This work is a systematic investigation of a range of solutions offered today for the philosophical problem of mental causation. The premises constituting the problem are analyzed before a survey is developed of the most popular theories on mental causation. It is demonstrated in detail why most of these canonical solutions must be considered deficient. In a third part, the 'new compatibilist's' approach to mental causation is explored, which is characterized by assertion of a non-identity-but-non-distinctness principle. The last part aims (...) to offer an alternative solution to the problem. On the basis of a certain set of counterfactual conditionals, which are jointly taken to provide a definition of 'causal proportionality' that improves the existing definitions, it is shown that a specific, and hitherto widely neglected, version of causal overdeterminationism must be considered the most successful solution to the problem of mental causation. (shrink)

The mechanistic view of computation contends that computational explanations are mechanistic explanations. Mechanists, however, disagree about the precise role that the environment – or the so-called “contextual level” – plays for computational explanations. We advance here two claims: Contextual factors essentially determine the computational identity of a computing system ; this means that specifying the “intrinsic” mechanism is not sufficient to fix the computational identity of the system. It is not necessary to specify the causal-mechanistic interaction between the system and (...) its context in order to offer a complete and adequate computational explanation. While the first claim has been discussed before, the second has been practically ignored. After supporting these claims, we discuss the implications of our contextualist view for the mechanistic view of computational explanation. Our aim is to show that some versions of the mechanistic view are consistent with the contextualist view, whilst others are not. (shrink)

Logic diagrams have seen a resurgence in their application in a range of fields, including logic, biology, media science, computer science and philosophy. Consequently, understanding the history and philosophy of these diagrams has become crucial. As many current diagrammatic systems in logic are based on ideas that originated in the 18th and 19th centuries, it is important to consider what motivated the use of logic diagrams in the past and whether these reasons are still valid today. This paper proposes that (...) transcendental philosophy was a key inspiration for the development of logic diagrams and that such diagrams can be employed in transcendental arguments, even after the linguistic turn. (shrink)

It has recently been argued that a sensitivity theory of knowledge cannot account for intuitively appealing instances of higher-order knowledge. In this paper, we argue that it can once careful attention is paid to the methods or processes by which we typically form higher-order beliefs. We base our argument on what we take to be a well-motivated and commonsensical view on how higher-order knowledge is typically acquired, and we show how higher-order knowledge is possible in a sensitivity theory once this (...) view is adopted. (shrink)

Ein Beispiel für die Rezeption und Fortführung der schopenhauerschen Logik findet man in den Mathematiklehrbüchern Friedrich Adolph Wilhelm Diesterwegs (1790–1866), In diesem Aufsatz werden die historische und systematische Dimension dieser Anwendung von Logikdiagramme auf die Mathematik skizziert. In Kapitel 2 wird zunächst die frühe Rezeption der schopenhauerschen Logik und Philosophie der Mathematik vorgestellt. Dabei werden einige oftmals tradierte Vorurteile, die das Werk Schopenhauers betreffen, in Frage gestellt oder sogar ausgeräumt. In Kapitel 3 wird dann die Philosophie der Mathematik und der (...) Logik Schopenhauers vorgestellt. Es wird gezeigt, dass Schopenhauers Logikdiagramme auf Ideen der Mathematiker Leonhard Euler (1707–1783), Bernhard Friedrich Thibaut (1775–1832) und Franz Ferdinand Schweins (1780–1856) zurückgehen und dass Schopenhauer diese Logikdiagramme auch bereits zur Analyse mathematischer Begriffe verwendet. Kapitel 4 beschäftigt sich mit der Schopenhauer-Rezeption Diesterwegs. Es wird die Frage behandelt, inwieweit Diesterweg in der Mathematik von Schopenhauer beeinflusst war und welche Rolle dieser Einfluss auf sein Verständnis von Logik und Mathematik hatte. In Kapitel 5 wird schließlich gezeigt, dass Diesterweg die schopenhauersche Begriffsanalyse der Mathematik mit Hilfe von Logikdiagrammen aufgreift und weiterführt. Da Diesterweg einer der einflussreichsten Pädagogen und Mathematikdidaktiker des 20. Jahrhunderts war, ist anzunehmen, dass sich Spuren dieser Methode noch heute finden lassen. Inwiefern dies wahrscheinlich ist, wird in der Zusammenfassung (Kapitel 6) thematisiert. (shrink)

IntroductionIf we were to identify the beginning of the study of visual argumentation, we would have to choose 1996 as the starting point. This was the year that Leo Groarke published “Logic, art and argument” in Informal logic, and it was the year that he and David Birdsell co-edited a special double issue of Argumentation and Advocacy on visual argumentation . Among other papers, the issue included Anthony Blair’s “The possibility and actuality of visual arguments”. It was also the year (...) that Gail J. Chryslee, Sonja K. Foss and Arthur L. Ranney published their short text on “The construction of claims in visual argumentation” , stating that even though theorists may know a great deal about the process of argumentation, “virtually none of this knowledge is applicable to visual argumentation […] because of the properties that distinguish visual imagery from discursive symbols” .Texts on visual rhetoric have been written as far back as the early 1980s, .. (shrink)

Nowadays, the forms assumed by knowledge indicate an unhinging of traditional structures conceived on the model of discipline. Consequently, what was once strictly disciplinary becomes interdisciplinary, what was homogeneous becomes heterogeneous and what was hierarchical becomes heterarchical. When we look for a matrix of interdisciplinarity, that is to say, a primary basis or an essential dimension of all the complex phenomena we are surrounded by, we see the need to break with the disciplinary self-restraint in which, often completely inadvertently, many (...) of us lock ourselves up, remaining anchored to our own competences, ignoring what goes beyond our own sphere of reference. However, interdisciplinarity is still a vague concept and a much demanding practice. It presupposes the continuous search for convergent theoretical perspectives and methodologies, and the definition of common spaces and languages, as well as a true dialogical and open mind of several scholars. From ethics to science, from communication to medicine, from climate change to human evolution the volume Controversies and Interdisciplinarity offers a series of original insights beyond disciplinary fragmentation for a new knowledge model. (shrink)

This review article discusses some problems and needs for clarification that are connected with the use of the concepts culture, language, tool, and communication in Daniel Everett's recently published book, Language: The Cultural Tool . It also discusses whether the idea of biological readiness and preparedness for language (rather than grammar) can really be disposed of as a result of Everett's very convincing arguments against a specific genetic predisposition for the syntactic component of a grammar. Finally, it calls into question (...) whether Everett really is true to his professed ideology of scientific ideographical pragmatism. (shrink)

It is argued that Wallace Chafe's approach of relating studies of mind and consciousness to studies of real spoken language interaction is precisely what is needed in linguistics and psycholinguistics. However, the way Chafe attempts to establish the link between spoken language and consciousness is, in several respects, in need of clarification. The paper critically examines several of Chafe's claims and points to areas — e.g., the notions of 'consciousness', 'intonation unit', and 'new idea' — where clarification or possible revision (...) is needed. (shrink)

Logicians have often suggested that the use of Euler-type diagrams has influenced the idea of the quantification of the predicate. This is mainly due to the fact that Euler-type diagrams display more information than is required in traditional syllogistics. The paper supports this argument and extends it by a further step: Euler-type diagrams not only illustrate the quantification of the predicate, but also solve problems of traditional proof theory, which prevented an overall quantification of the predicate. Thus, Euler-type diagrams can (...) be called the natural basis of syllogistic reasoning and can even go beyond. In the paper, these arguments are presented in connection with the book Nucleus Logicae Weisaniae by Johann Christian Lange from 1712. (shrink)

This paper discusses the relevance of models for cognitive science that integrate mechanistic and computational aspects. Its main hypothesis is that a model of a cognitive system is satisfactory and explanatory to the extent that it bridges phenomena at multiple mechanistic levels, such that at least several of these mechanistic levels are shown to implement computational processes. The relevant parts of the computation must be mapped onto distinguishable entities and activities of the mechanism. The ideal is contrasted with two other (...) accounts of modeling in cognitive science. The first has been presented by David Marr in combination with a distinction of “levels of computation”. The second builds on a hierarchy of “mechanistic levels” in the sense of Carl Craver. It is argued that neither of the two accounts secures satisfactory explanations of cognitive systems. The mechanistic-computational ideal can be thought of as resulting from a fusion of Marr’s and Craver’s ideals. It is defended as adequate and plausible in light of scientific practice, and certain metaphysical background assumptions are discussed. (shrink)

In recent years CL diagrams inspired by Lange’s Cubus Logicus have been used in various contexts of diagrammatic reasoning. However, whether CL diagrams can also be used as a formal system seemed questionable. We present a CL diagram as a formal system, which is a fragment of propositional logic. Syntax and semantics are presented separately and a variant of bitstring semantics is applied to prove soundness and completeness of the system.

In this paper, we critically examine Molly Gardner’s favored solution to what she calls “the problem of justified harm.” We argue that Gardner’s view is false and that her arguments in support of it are unconvincing. Finally, we briefly suggest an alternative solution to the problem which avoids the difficulties that beset Gardner’s proposal.

Moral case deliberation (MCD) is a specific form of clinical ethics, aiming to stimulate ethical reflection in daily practice in order to improve the quality of care. This article focuses on the implementation of MCD in nursing homes and the questions how and where to organize MCD. The purpose of this study was to evaluate one way of organizing MCD in two Dutch nursing homes. In both of these nursing homes the MCD groups had a heterogeneous composition and were organized (...) apart from existing institutional communication structures. As part of a naturalistic evaluation, systematic observations, interviews and focus groups were completed. The findings indicate that the heterogeneous composition and MCD meetings separate from existing structures have benefits. However, the participants also reported negative experiences. This gives rise to the question whether a mixed MCD group which meets separately is an effective way to embed MCD as an instrument for reflection on moral issues in daily practice. We conclude that there is no single answer to that question. In the end, the two implementation strategies (i.e. within existing communication structures and a mixed MCD group) can be complementary to each other. (shrink)

According to epistemic two-dimensionalism, or simply two-dimensionalism, linguistic expressions are associated with two intensions, one of which represents an expression’s a priori implications. The author investigates the prospects of conceptual analysis on the basis of a two-dimensionalist theory of meaning. He discusses a number of arguments for and against two-dimensional semantics and argues that properly construed, two-dimensionalism provides a potent and plausible account of meaning. Against the background of this account, the author then goes on to assess the value of (...) conceptual analysis in philosophical practice, outlining its goals, its promises, but also its limitations. (shrink)

A prominent objection to the counterfactual comparative account of harm is that it classifies as harmful some events that are, intuitively, mere failures to benefit. In an attempt to solve this problem, Duncan Purves has recently proposed a novel version of the counterfactual comparative account, which relies on a distinction between making upshots happen and allowing upshots to happen. In this response, we argue that Purves’s account is unsuccessful. It fails in cases where an action makes the subject occupy a (...) high well-being level though one of the available alternatives would have made it even higher. In fact, it fails even in some cases where each of the available alternatives to the action that was actually performed would have made the subject’s well-being level lower. (shrink)

According to the “deprivation approach,” a person’s death is bad for her to the extent that it deprives her of goods. This approach faces the Lucretian problem that prenatal non-existence deprives us of goods just as much as death does, but does not seem bad at all. The two most prominent responses to this challenge—one of which is provided by Frederik Kaufman (inspired by Thomas Nagel) and the other by Anthony Brueckner and John Martin Fischer—claim that prenatal non-existence is relevantly (...) different from death. This paper criticizes these responses. (shrink)

Counterfactual conditionals have been appealed to in various ways to show how the mind can be causally efficacious. However, it has often been overestimated what the truth of certain counterfactuals actually indicates about causation. The paper first identifies four approaches that seem to commit precisely this mistake. The arguments discussed involve erroneous assumptions about the connection of counterfactual dependence and genuine causation, as well as a disregard of the requisite evaluation conditions of counterfactuals. In a second step, the paper uses (...) the insights of the foregoing analyses to formulate a set of counterfactuals-based conditions that are characterized as sufficient to establish singular causal claims. The paper concludes that there are ample reasons to believe that some mental events satisfy all these conditions with respect to certain further events and, hence, that mental events sometimes are causes. (shrink)

In light of the problem of logical omniscience, some scholars have argued that belief is question-sensitive: agents don't simply believe propositions but rather believe answers to questions. Hoek (2022) has recently developed a version of this approach on which a belief state is a "web" of questions and answers. Here, we present several challenges to Hoek's question-sensitive account of belief. First, Hoek's account is prone to very similar logical omniscience problems as those he claims to address. Second, the link between (...) belief and action he proposes is too rigid. We close by sketching a generalization of the account that can meet these challenges. (shrink)

Aufstieg zum Einen - das ist das Zentrum der Philosophie Plotins und des von ihm ausgehenden Neuplatonismus. Dass solcher Aufstieg zum Einen aber auch schon bei Platon eine zentrale Rolle spielt, gehört zu den wichtigsten Einsichten der neueren Platonforschung. Das vorliegende Buch zieht daraus die Konsequenz und bestimmt das Verhältnis zwischen Platon und dem Neuplatonismus neu. Es verbindet die erste umfassende Darstellung von Plotins Theorie des Absoluten mit einer Rekonstruktion von Platons Henologie. Dabei arbeitet es die enge Verbindung beider heraus (...) und macht zugleich die bleibende philosophische Relevanz des Themas deutlich. (shrink)

Fichte’s Foundations of the Entire Wissenschaftslehre 1794 is one of the most fundamental books in classical German philosophy. The use of laws of thought to establish foundational principles of transcendental philosophy was groundbreaking in the late eighteenth and early nineteenth century and is still crucial for many areas of theoretical philosophy and logic in general today. Nevertheless, contemporaries have already noted that Fichte’s derivation of foundational principles from the law of identity is problematic, since Fichte lacked the tools to correctly (...) present the formal parts of Foundations. In this paper, however, we argue that Fichte’s approach intuitively offers an important contribution to transcendental philosophy, and especially to philosophy of logic. We first point out the difficulties of Fichte’s logic in the Foundations and improve it in a second part on the basis of a formal system in which both propositional logic and syllogistic are combined. (shrink)

From the mid-1600s to the beginning of the eighteenth century, there were two main circles of German scholars which focused extensively on diagrammatic reasoning and representation in logic. The first circle was formed around Erhard Weigel in Jena and consists primarily of Johann Christoph Sturm and Gottfried Wilhelm Leibniz; the second circle developed around Christian Weise in Zittau, with the support of his students, particularly Samuel Grosser and Johann Christian Lange. Each of these scholars developed an original form of using (...) geometric diagrams in logic. In this paper, I will trace the historical notes of John Venn and other modern logicians back to the original works published in the Weigel and Weise circles and describe the development of using geometric figures for logical reasoning and representation in that period of time. (shrink)

The paper examines Schopenhauer’s complex diagrams from the Berlin Lectures of the 1820 s, which show certain partitions of classes. Drawing upon ideas and techniques from logical geometry, we show that Schopenhauer’s partition diagrams systematically give rise to a special type of Aristotelian diagrams, viz. (strong) α -structures.

This paper presents an analysis of Seneca's 58th letter to Lucilius and Porphyry's Isagoge, which were the origin of the tree diagrams that became popular in philosophy and logic from the early Middle Ages onwards. These diagrams visualise the extent to which a concept can be understood as a category, genus, species or individual and what the method of dihairesis (division) means. The paper explores the dissimilarities between Seneca's and Porphyry's tree structures, scrutinising them through the perspective of modern graph (...) theory. Although traditional trees can be interpreted in a modern way, their terms and definitions defy modern standardisation. These distinctions are not only useful for differentiating between Seneca's and Porphyry's trees, but also for comprehending the evolution of this philosophical tradition. Thus the paper highlights the continued significance of these tree diagrams in analysing concepts and categories in philosophy and structuring objects and information in modern fields such as artificial intelligence, computer science, bioinformatics, graph theory, and many more. (shrink)

According to luck egalitarianism, it is not unfair when people are disadvantaged by choices they are responsible for. This implies that those who are disadvantaged by choices that prevent disadvantage to others are not eligible for compensation. This is counterintuitive. We argue that the problem such cases pose for luck egalitarianism reveals an important distinction between responsibility for creating disadvantage and responsibility for distributing disadvantage which has hitherto been overlooked. We develop and defend a version of luck egalitarianism which only (...) holds people responsible for creating disadvantage. This revision enables luck egalitarianism to offer compensation to those who are disadvantaged by preventing disadvantage to others, like dependent caretakers, without compromising the responsibility–sensitivity at the heart of luck egalitarianism. (shrink)

Emily Thomas's seminal book The Meaning of Travel has brought the philosophy of travel back into the public eye in recent years. Thomas has shown that the topic of travel can be approached from numerous different perspectives, ranging from the historical to the conceptual‐analytical, to the political or even social‐philosophical perspectives. This article introduces another perspective, which Thomas only indirectly addresses, namely the argumentation‐theoretical perspective. It is notable that contemporary philosophy of travel lacks the nineteenth‐century approach of using diagrams and (...) maps to examine arguments for and against travel. Since this approach starts with Schopenhauer, we first introduce his argument maps, discuss their advantages and disadvantages, and argue that a modified version is suitable to visualize and analyze arguments for and against traveling as presented in Thomas's work. (shrink)

As is well-known, David Lewis’ counterfactual theory of causation is subject to serious counterexamples in ‘exceptional’ cases. What has not received due attention in the literature so far is that Lewis’ theory fails to provide necessary and sufficient conditions for causation in ‘ordinary’ cases, too. In particular, the theory suffers from the ‘problem of large causes’. It is argued that this problem may be fixed by imposing a minimization constraint, whilst this solution brings along substantial costs as well. In particular, (...) a precise formulation of minimization requires defining an ‘essential part of an event’ and/or an ‘essential subevent’. Although the possibility of such a definition is ultimately left open, some doubts are raised on whether the counterfactualists’ resources are fit for this purpose, and whether the challenge can be met without substantially departing from Lewis’ intention, which was to provide a reductive account of causation. (shrink)

According to the “deprivation approach,” a person’s death is bad for her to the extent that it deprives her of goods. This approach faces the Lucretian problem that prenatal non-existence deprives us of goods just as much as death does, but does not seem bad at all. The two most prominent responses to this challenge—one of which is provided by Frederik Kaufman and the other by Anthony Brueckner and John Martin Fischer—claim that prenatal non-existence is relevantly different from death. This (...) paper criticizes these responses. (shrink)

In this paper we explore the potential bearing of the extended mind thesis—the thesis that the mind extends into the world—on epistemology. We do three things. First, we argue that the combination of the extended mind thesis and reliabilism about knowledge entails that ordinary subjects can easily come to enjoy various forms of restricted omniscience. Second, we discuss the conceptual foundations of the extended mind and knowledge debate. We suggest that the theses of extended mind and extended knowledge lead to (...) a bifurcation with respect to the concepts of belief and knowledge. We suggest that this conceptual bifurcation supports a form of pluralism about these concepts. Third, we discuss whether something similar can be said at the metaphysical level. (shrink)

In a recent article, I criticized Anthony L. Brueckner and John Martin Fischer’s influential argument—appealing to the rationality of our asymmetric attitudes towards past and future pleasures—against the Lucretian claim that death and prenatal non-existence are relevantly similar. Brueckner and Fischer have replied, however, that my critique involves an unjustified shift in temporal perspectives. In this paper, I respond to this charge and also argue that even if it were correct, it would fail to defend Brueckner and Fischer’s proposal against (...) my critique. (shrink)

In the context of the Cold War, opinion polling as a method of observation stood for the shift from confrontation and clandestine preparations for a hot or cold civil war towards a competition between systems in the fields of political and cultural attractiveness and economic capabilities. Based on the cases of the West German polling institute Infratest and the East German Institute for Opinion Polling of the Socialist Unity Party, the article highlights the shifts in the external observation and internal (...) self-observation of socialist society with respect to the change in epistemological approaches, research topics, patterns of construction of societal structures and the confluence between political expectations, professional self-understandings and impact on policy-making processes. (shrink)

This paper considers Habermas’ model of a post‐secular political order in the light of the debate on male circumcision that arose in Germany after a court ruled that male circumcision was an unjustifiable act of bodily harm. Central to this model is the idea that religious reasons can only become effective in central legal institutions when they are translated into secular reasons. My paper demonstrates that there are two distinguishable readings of this proviso. On the one hand, there is a (...) broad reading according to which it is only necessary to reach a conclusion that is in line with the democratic principle stating that all citizens can be regarded as co‐legislators even if non‐generalizable value orientations might then shape the interpretation of fundamental rights (in the case of circumcision, the right to bodily integrity). On the other hand, a truly secular (narrow) reading would avoid the inclusion of non‐generalizable value orientations. The debate on circumcision demonstrates that these two interpretations lead to different and conflicting modes of justification. The broad reading allows for a justification of male circumcision, whereas the narrow reading makes such a justification unlikely. In addition, the filtering function of the proviso is weakened in a broad reading. (shrink)

The paper presents the diagrammatic calculus CL, which combines features of tree, Euler-type, Venn-type diagrams and squares of opposition. In its basic form, `CL' (= Cubus Logicus) organizes terms in the form of a square or cube. By applying the arrows of the square of opposition to CL, judgments and inferences can be displayed. Thus CL offers on the one hand an intuitive method to display ontologies and on the other hand a diagrammatic tool to check inferences. The paper focuses (...) mainly on the adaptation of the square of opposition in CL and offers an algebraic notation, which corresponds to the diagrammatic representation. (shrink)