Several studies have identified entrepreneurship as a key factor in wealth creations in addition to associating certain personality characteristics to its growth. The question is to what extent have these wealth creations performed ethically. The present study is set to explore the cognitive orientation and demographic factors that are associated with unethical business. Two hundred and fifty-six owner–managers in the age range of 24 to 68 years participated in the survey study. Male participants accounted for 63.3 per cent, while female (...) participants were 36.7 per cent. The results indicate that risk taking and gender factors were consistently and statistically significant predictors of unethical business across the three groups in this study. The group situation appears to have effect on the individual contribution to unethical business. Implications are drawn from the results, and priorities are established for future research. (shrink)

This article develops a logical (or semantic) response to scepticism about the existence of an external world. Specifically, it is argued that any doubt about the existence of an external world can be proved to be false, but whatever appears to be doubt about the existence of an external world that _cannot_ be proved to be false is nonsense, insofar as it must rely on the assertion of something that is logically impossible. The article further suggests that both G. E. (...) Moore and Ludwig Wittgenstein worked towards the same solution but left their work unfinished. (shrink)

Analysis has always been a core part of humanistic studies. In the domain of philosophical research, where it has assumed a larger-than-life status in the analytic tradition, analysis is a methodological device for conceptual clarification, the unpacking of loaded terms and expressions, and the achievement of overall understanding in every sphere of philosophical discourse. Scholars have expressed doubt about whether reductive analysis is an attractive methodological framework for African philosophy. In a recent article, Balogun raises the need for African philosophy (...) to evolve its own unique method of analysis with the aim of decolonising analysis in the context of African philosophical investigations. This article advances this need by proposing a genre of philosophical analysis called “ethnolysis”. Coined from two words, “ethnography” and “analysis”, ethnolysis is a kind of analysis rooted in the search for ethnographical materials as a means of opening up an array of insights into the proper meaning of African concepts, terms, or expressions. The article defends “ethnolysis” in the light of the inappropriateness of mainstream analysis in producing an understanding of some philosophically interesting African concepts, terms and expression which are not completely amenable to the reductive analysis or fragmentation of the kind central to the analytic approach in African philosophy. (shrink)

Drawing from the group engagement model and the moral conviction literature, we propose that perceived leader ethical conviction moderates the relationship between ethical leadership and employee OCB as well as deviance. In a field study of employees from various industries and a scenario-based experiment, we revealed that both the positive relation between ethical leadership and employee OCB and the negative relation between ethical leadership and employee deviance are more pronounced when leaders are perceived to have weak rather than strong ethical (...) convictions. Further, we argued and showed that employees’ feelings of personal control and perceived voice opportunity mediated the interactive effect of ethical leadership and perceived leader ethical conviction on OCB and deviance. Implications of these findings for theory and practice are discussed. (shrink)

To commemorate 40 years since the founding of the Journal of Business Ethics, the editors-in-chief of the journal have invited the editors to provide commentaries on the future of business ethics. This essay comprises a selection of commentaries aimed at creating dialog around the theme Bringing Excitement to Empirical Business Ethics Research (inspired by the title of the commentary by Babalola and van Gils). These editors, considering the diversity of empirical approaches in business ethics, envisage a future in which (...) quantitative business ethics research is more bold and innovative, as well as reflexive about its techniques, and dialog between quantitative and qualitative research nourishes the enrichment of both. In their commentary, Babalola and van Gils argue that leadership research has stagnated with the use of too narrow a range of perspectives and methods and too many overlapping concepts. They propose that novel insights could be achieved by investigating the lived experience of leadership (through interviews, document analysis, archival data); by focusing on topics of concern to society; by employing different personal, philosophical, or cultural perspectives; and by turning the lens on the heroic leader (through “dark-side” and follower studies). Taking a provocative stance, Bal and Garcia-Lorenzo argue that we need radical voices in current times to enable a better understanding of the psychology underlying ethical transformations. Psychology can support business ethics by not shying away from grander ideas, going beyond the margins of “unethical behaviors harming the organization” and expanding the range of lenses used to studying behavior in context. In the arena of finance and business ethics, Guedhami, Liang, and Shailer emphasize novel data sets and innovative methods. Significantly, they stress that an understanding the intersection of finance and ethics is central to business ethics; financial equality and inclusion are persistent socio-economic and political concerns that are not always framed as ethics issues, yet relevant business policies and practices manifest ethical values. Finally, Charles Cho offers his opinion on the blurry line between the “ethical” versus “social” or “critical” aspects of accounting papers. The Journal of Business Ethics provides fertile ground for innovative, even radical, approaches to quantitative methods (see Zyphur and Pierides in J Bus Ethics 143(1):1–16, https://doi.org/10.1007/s10551-017-3549-8, 2017), as part of a broad goal of ethically reflecting on empirical research. (shrink)

Synthesizing self‐regulatory theories, we provide new insights into the antecedents of abusive supervision. We, from the perspective of supervisor's self‐regulatory resources depletion or impairment, introduce supervisor hindrance stress as an underlying mechanism of the subordinate deviance–abusive supervision relationship: this mediated relationship will be intensified at the level of high subordinate job performance. In addition, we develop a complex contingency model and propose a three‐way interaction (i.e., subordinate deviance, job performance, supervisor outcome dependence) to obtain the complete understanding of the subordinate (...) deviance–abusive supervision relationship facilitated through the supervisors’ hindrance stress. To test our moderated moderated mediation model, we gathered time‐lagged and multisource data from a large food service company located in southern China. We collected data at two different points (i.e., Time 1 and Time 2) from supervisors and their direct reports (N = 298 responses from 68 supervisors and 298 direct reports), and findings provide support for the hypothesized moderated moderated mediation model of our study. We highlight the implications of our study for theory, research, and practice. (shrink)

In a multi-source study, we examine how frequent change interacts with ethical leadership to reduce turnover intentions. We argue that ethical leaders enhance employees’ state self-esteem, which explains the moderating effect of ethical leadership. Results from 124 employee-coworker-supervisor triads revealed that ethical leadership moderated the relationship between frequent change and turnover intention such that the relationship was positive only when ethical leadership was low. The moderating relationship could be shown to be mediated by employees’ state self-esteem.

An instance of the use of a version of the analytic method known as the “ordinary-language approach” in African philosophy is characterised by a systematic examination (for the purpose of clarity) of philosophically significant concepts in an African language as used in ordinary discourse contexts among a local linguistic community. Central to this approach is the idea that the meaning of concepts depends on the ways ordinary people use them, and that this may form the basis of a philosophy. This (...) article examines Barry Hallen and Olubi Sodipo’s critical engagements with the epistemological concepts of ìmọ (knowledge) and ìgbàgbọ (belief) as an instance of this analytic methodological orientation in African philosophy. The article finds the resultant analysis of these Yoruba concepts theoretically faulty because it defeats both the rational structure of complex concept formation in Yoruba language and the logical presupposition embedded in every language. The article concludes that in order to correct this, African philosophy needs to evolve its own unique method of analysis, or otherwise reject altogether the analytic method and erect in its place its own peculiar method suitable for what it does, and consistent with the general nature of philosophy. (shrink)

While previous research has established that employees who have a more conscientious leader are more likely to perceive that their leader is ethical, the underlying mechanisms and boundary conditions of this linkage remain unknown. In order to better understand the relationship between leader conscientiousness and ethical leadership, we examine the potential mediating role of leader moral reflectiveness, as well as the potential moderating role of decision-making autonomy. Drawing from social cognitive theory, results from two samples of workgroup leaders and their (...) immediate reports situated in Africa and Asia show that leader conscientiousness is positively related to leader moral reflectiveness, which in turn, is positively associated with employees’ assessment of ethical leadership. Furthermore, and consistent with our hypothesis, results from the two samples show that leader decision-making autonomy moderates the indirect path from leader conscientiousness to ethical leadership through moral reflectiveness, such that only morally reflective leaders who have high decision-making autonomy at work engage in ethical leadership behaviors. In our discussion, we highlight the theoretical and practical implications of our findings and suggest ways in which organizations can better foster ethical leadership. (shrink)

We take a fresh look at the logics of informational dependence and independence of Hintikka and Sandu and Väänänen, and their compositional semantics due to Hodges. We show how Hodges’ semantics can be seen as a special case of a general construction, which provides a context for a useful completeness theorem with respect to a wider class of models. We shed some new light on each aspect of the logic. We show that the natural propositional logic carried by the semantics (...) is the logic of Bunched Implications due to Pym and O’Hearn, which combines intuitionistic and multiplicative connectives. This introduces several new connectives not previously considered in logics of informational dependence, but which we show play a very natural rôle, most notably intuitionistic implication. As regards the quantifiers, we show that their interpretation in the Hodges semantics is forced, in that they are the image under the general construction of the usual Tarski semantics; this implies that they are adjoints to substitution, and hence uniquely determined. As for the dependence predicate, we show that this is definable from a simpler predicate, of constancy or dependence on nothing. This makes essential use of the intuitionistic implication. The Armstrong axioms for functional dependence are then recovered as a standard set of axioms for intuitionistic implication. We also prove a full abstraction result in the style of Hodges, in which the intuitionistic implication plays a very natural rôle. (shrink)

The civilization of the world has become a threat and distorted environmental integrity in the 20th century. Therefore, environmental ethics is currently getting important in academic considerations. Various public and private institutions such as universities and research centers output throughout the world are now paying attention and seriousness to the environment. This paper focuses on what mankind ought to do regarding the cross-cuttingness of environmental problems.

The neutrosophic automorphisms of a neutrosophic groups G (I) , denoted by Aut(G (I)) is a neu-trosophic group under the usual mapping composition. It is a permutation of G (I) which is also a neutrosophic homomorphism. Moreover, suppose that X1 = X(G (I)) is the neutrosophic group of inner neutrosophic auto-morphisms of a neutrosophic group G (I) and Xn the neutrosophic group of inner neutrosophic automorphisms of Xn-1. In this paper, we show that if any neutrosophic group of the sequence (...) G (I), X1, X2, … is the identity, then G (I) is nilpotent. (shrink)

We use a simple relational framework to develop the key notions and results on hidden variables and non-locality. The extensive literature on these topics in the foundations of quantum mechanics is couched in terms of probabilistic models, and properties such as locality and no-signalling are formulated probabilistically. We show that to a remarkable extent, the main structure of the theory, through the major No-Go theorems and beyond, survives intact under the replacement of probability distributions by mere relations.

This introductory chapter presents the reader with various ways of approaching the topic ‘Wittgenstein and the creativity of language’. It is argued that any serious account of the questions arising from this joint consideration of, on the one hand, this great genius of philosophy and, on the other, the varieties of speech, text, action and beauty which go under the heading ‘the creativity of language’ will have to appreciate the potential of both, in terms of breadth as well as depth. (...) First, the chapter points out a way of understanding Wittgenstein’s discussion of rules and rule-following in relation to meaning and normativity which, in virtue of respecting Wittgenstein’s own creativity as a writer, does not fall prey to a widespread source of misunderstanding. Next, Wittgenstein’s uses of language receive some additional attention (i.e. his use of analogies, metaphors, punctuation and other literary and rhetorical devices), before a glimpse is offered of an unravelling of the knot that is Wittgenstein and the creativity of language. The multiple interrelated threads here lead into areas of human concern ranging from the philosophy of language and logic through to ethics, aesthetics and politics. Finally, the chapter offers an overview of the contents of the book from the perspective of its editors. (shrink)

Abramsky, S., Domain theory in logical form, Annals of Pure and Applied Logic 51 1–77. The mathematical framework of Stone duality is used to synthesise a number of hitherto separate developments in theoretical computer science.• Domain theory, the mathematical theory of computation introduced by Scott as a foundation for detonational semantics• The theory of concurrency and systems behaviour developed by Milner, Hennesy based on operational semantics.• Logics of programsStone duality provides a junction between semantics and logics . Moreover, the underlying (...) logic is geometric, which can be computationally interpreted as the logic of observable properties—i.e., properties which can be determined to hold of a process on the basis of a finite amount of information about its execution.These ideas lead to the following programme. A metalanguage is introduced, comprising• types = universes of discourse for various computational situations;• terms = PROGRAMS = syntactic intensions for models or points. A standard denotational interpretation of the metalanguage is given, assigning domains to types and domain elements to terms. The metalanguage is also given a logical interpretation, in which types are interpreted as propositional theories and terms are interpreted via a program logic, which axiomatises the properties they satisfy. The two interpretations are related by showing that they are Stone duals of each other. Hence, semantics and logic are guaranteed to be in harmony with each other, and in fact each determines the other up to isomorphism. This opens the way to a whole range of applications. Given a denotational description of a computational situation in our metalanguage, we can turn the handle to obtain a logic for that situation. (shrink)

Logic played an important role in Wittgenstein’s work over the entire period of his philosophizing, from both the point of view of the philosopher of logic and that of the logician. Besides logical analysis, there is another kind of logical activity that characterizes Wittgenstein’s philosophical work after a certain point during his experience as a soldier and, later, as an officer in the First World War – if not earlier. This other kind of logical activity has to do with what (...) appears to be the literary form of Wittgenstein’s philosophical prose, and it is likely to be seen as the most modernist feature of his preoccupation with logic. (shrink)

We investigate the use of coalgebra to represent quantum systems, thus providing a basis for the use of coalgebraic methods in quantum information and computation. Coalgebras allow the dynamics of repeated measurement to be captured, and provide mathematical tools such as final coalgebras, bisimulation and coalgebraic logic. However, the standard coalgebraic framework does not accommodate contravariance, and is too rigid to allow physical symmetries to be represented. We introduce a fibrational structure on coalgebras in which contravariance is represented by indexing. (...) We use this structure to give a universal semantics for quantum systems based on a final coalgebra construction. We characterize equality in this semantics as projective equivalence. We also define an analogous indexed structure for Chu spaces, and use this to obtain a novel categorical description of the category of Chu spaces. We use the indexed structures of Chu spaces and coalgebras over a common base to define a truncation functor from coalgebras to Chu spaces. This truncation functor is used to lift the full and faithful representation of the groupoid of physical symmetries on Hilbert spaces into Chu spaces, obtained in our previous work, to the coalgebraic semantics. (shrink)

The logical problem of artificial intelligence—the question of whether the notion sometimes referred to as ‘strong’ AI is self-contradictory—is, essentially, the question of whether an artificial form of life is possible. This question has an immediately paradoxical character, which can be made explicit if we recast it (in terms that would ordinarily seem to be implied by it) as the question of whether an unnatural form of nature is possible. The present paper seeks to explain this paradoxical kind of possibility (...) by arguing that machines can share the human form of life and thus acquire human mindedness, which is to say they can be intelligent, conscious, sentient, etc. in precisely the way that a human being typically is. (shrink)

Christopher Peacocke’s Interlocking Account offers an example of the identity-based strategy for resolving the conceptual problem of other minds. According to the Identity Model, the sameness of meaning of a mental concept across inter-subjective domains is guaranteed by the sameness of the mental states to which the concept refers. Hence, for example, the meaning of the concept “pain” is fixed by the sameness of the sensation of pain to which the concept refers across inter-subjective fields. As an instance of this (...) model, the Interlocking Account draws its most fundamental strength from the claim that human beings are similar in so far as they are carriers of conscious mental states, and that similar mental concepts have similar mental contents across individuals. The implication of this is that when similar mental concepts are used to describe contents of experience by different persons, the meanings of the concepts used are fixed by the similarity of the contents of experience to which the concepts refer. This paper argues that this identity-based strategy fails for three main reasons: the identity relation it purports to establish between one’s own case and those of others is difficult to achieve; “the sense in which the relation of one's mind and those of others exhibits that identity is not clear;” and it is an argument by analogy in disguise. (shrink)

Bell inequalities play a central role in the study of quantum nonlocality and entanglement, with many applications in quantum information. Despite the huge literature on Bell inequalities, it is not easy to find a clear conceptual answer to what a Bell inequality is, or a clear guiding principle as to how they may be derived. In this paper, we introduce a notion of logical Bell inequality which can be used to systematically derive testable inequalities for a very wide variety of (...) situations. There is a single clear conceptual principle, based on purely logical consistency conditions, which underlies our notion of logical Bell inequalities. We show that in a precise sense, all Bell inequalities can be taken to be of this form. Our approach is very general. It applies directly to any family of sets of commuting observables. Thus it covers not only the n-partite scenarios to which Bell inequalities are standardly applied, but also Kochen-Specker configurations, and many other examples. There is much current work on experimental tests for contextuality. Our approach directly yields, in a systematic fashion, testable inequalities for a very general notion of contextuality. There has been much work on obtaining proofs of Bell's theorem “without inequalities” or “without probabilities.” These proofs are seen as being in a sense more definitive and logically robust than the inequality-based proofs. On the hand, they lack the fault-tolerant aspect of inequalities. Our approach reconciles these aspects, and in fact shows how the logical robustness can be converted into systematic, general derivations of inequalities with provable violations. Moreover, the kind of strong non-locality or contextuality exhibited by the GHZ argument or by Kochen-Specker configurations can be shown to lead to maximal violations of the corresponding logical Bell inequalities. Thus the qualitative and the quantitative aspects are combined harmoniously. (shrink)

Part 1. Unmaking the truth. Whose view of human hostility matters? -- How evil entered the human race: the Bible and human history -- Why peace eludes Nigerians -- Religious fragility and failing symbiotic interactions -- Classical Christian approaches to violence -- Christian nonviolent just self-defense -- The contemporary quest for self-defense -- Part 2. Unmasking falsehood. The suffering servant in Isaiah and the African people -- Tribes, tribalism, and the Christian faith -- How to handle our destroyers -- Creative (...) models of just peacemaking in Nigeria -- Part 3. Unmasking the mission of the church. The mission of the church distracted -- The church's missions and the public arena -- Restorative justice and insurgency -- Violence and Christian eschatology -- Conclusion. (shrink)

In the era of increasingly defined ontological insecurity and uncertainty driven by the ravages of COVID-19, urban informal settlement has emerged as a source of resilience. Indeed, the effects of a pandemic transcends its epidemiological characteristics to political economy and societal resilience. If resilience is the capacity of a system to adapt successfully to significant challenges that threaten the function or development of the human society, then ontological insecurity is about the lack of such capacity. Drawing on Keith Hartian’s understanding (...) of ‘informality’ of spaces, this policy brief attempts to identify and frame a research agenda for the future. The agenda would assist future researchers and policymakers provide responses that appropriately recognize groups and actors that define the urban informal space. (shrink)

This article presents a structured and systematic approach for identifying and modelling compliance risks. The sophistication with which modern business is carried out and the unprecedented access to a global market means that businesses are exposed to increasing and diverse regulatory requirements in and across jurisdictions. Compliance with such requirements is practically challenging, partly due to the complexity of regulatory environments. One possibility in this regard is a risk-based approach to compliance, where resources are allocated to those compliance issues that (...) are most risky. Despite the need for risk-based compliance, few specific methods and techniques for identifying and modelling compliance risks have been developed. Due to the lack of methodological and tool support, compliance risk identification often involves unstructured brainstorming, with uncertain outcomes. The proposed approach consists of a five-step process for the structured identification and assessment of compliance risks. This process aims at facilitating the identification of compliance risks and their documentation in a consistent and reusable fashion. As part of the process, the article provides a systematic approach for a graphical modelling of compliance risks, which aims at facilitating communication among experts from different backgrounds. The creation of graphical models can be partly automated based on natural language patterns for regulatory requirements. Furthermore, the structuring of the compliance requirement in a template aims at simplifying the modelling of compliance risks and facilitating a potential future automated model. (shrink)

The problem of the nature of mind has lingered for a long time. Generated by the question of whether the mind is an independently existing entity or merely an aspect of bodily events and processes, the problem of the nature of mind has divided Western philosophers into two opposing camps, namely dualism and physicalism. Contemporary discourse of the nature of minds, within the Western philosophical tradition, continues to privilege physicalism over dualism, because it avoids the theoretical impasse engendered by the (...) dualist inability to account for how two radically different entities manage to interact with each other. Although physicalism avoids the dualist pitfalls, it, however, encounters the problem of plausibly accounting for the possibility of conscious experience without commitment to the dualist ontology of a realm different from the body. In this article, we provide an African (Yoruba) perspective to the question of the nature of mind as an alternative to the Western perspective represented by dualist and physicalist theories. We develop a variant of dualism called “contextual dualism,” which accepts the dualist basic tenet of the duality of body and mind but diverges from it by permitting that some physical organs of the body also function in the capacity of the mind. Using ethnological analysis and the Yoruba linguistic hermeneutics as theoretical frameworks, the paper argues that the difference between when a physical organ functions as body and when it functions as mind is revealed in Yoruba language through their contexts of use. The paper concludes that contextual dualism drives a reconciliatory wedge between mainstream dualism and physicalism. (shrink)

Several treatises have been written on the foundations of African moral systems. A significant number of them favours the claim that these systems are founded on religion, with the latter providing a justification for the former. Others have taken a contrary position, denying the supposed necessary causal connection between religion and African moral systems. This paper neither seeks to support nor rebut any of the foundations proposed, but rather to argue for the thesis that from whichever perspective it is viewed (...) - religious, humanistic or rationalist - the Yoruba moral system has strictly consequentialist foundations, and is hence subsumable under the general consequentialist ethical programme. However, the paper notes that Yoruba consequentialism diverges significantly from its western counterpart on the claim that “the end justifies the means”; for whereas this is true of western consequentialism, according to Yoruba consequentialism no evil, however well-intended, can bring about a good end. The Yoruba oral tradition, and particularly the Yoruba language as currently spoken and written among the Yoruba people of southwestern Nigeria, supplies tools of analysis, while ethical consequentialism provides the theoretical framework. (shrink)

This essay discusses Wittgenstein's conception of logic, early and late, and some of the types of logical system that he constructed. The essay shows that the common view according to which Wittgenstein had stopped engaging in logic as a philosophical discipline by the time of writing Philosophical Investigations is mistaken. It is argued that, on the contrary, logic continued to figure at the very heart of later Wittgenstein's philosophy; and that Wittgenstein's mature philosophy of logic contains many interesting thoughts that (...) have gone widely unnoticed. (shrink)

This study utilises philosophical deliberation to analyse the psycho-social and emotional conflicts that arise out of widowhood practices in the Luo community ofKenya. Towards this end, it explores the attendant effects of Luo widowhood practices on family, power and gender relations, and suggests resolutions to thechallenges they generate.

Some foundations have been provided for the social validity of human rights in Western philosophical literature. Some African scholars have also sought to ground the notion of human rights within the traditional African cultural beliefs and practices. There is, however, a dearth in literature on the Yoruba notion of human rights. Perhaps this may be due to scholars’ attitude that any talk about human rights is incompatible with the communalistic social structure of the Yoruba. The present paper challenges this prevalent (...) attitude by providing some philosophical foundations for human rights within the limits permitted by the Yoruba world-view. The paper attempts a theoretical reconciliation between the Yoruba claim to communitarianism and the possibility of human rights. The paper concludes that, in spite of the seemingly antinomic relation they bear to each other, the idea of human rights is neither practically meaningless/unintelligible in a communitarian society, nor is it conceptually incompatible with the communitarian ideology. Keywords: Philosophical foundations, Human, Rights, Communitarianism, Yoruba. (shrink)

This paper explores the new frontier within Kantian scholarship which suggests that Kant places so much special importance on the value of rational nature that the supreme principle of morality and the concept of human dignity are both grounded on it. Advocates of this reading argue that the notion of autonomy and dignity should now be considered as the central claim of Kant’s ethics, rather than the universalisation of maxims. Kant’s ethics are termed as repugnant for they place a high (...) demand on the universalisation of maxims as a universal moral principle. As a result, they argue that there is an urgent need to rescue Kant’s ethics from the controversies surrounding maxims and universalisability, and the best way to rescue his ethics is by “leaving deontology behind”. It must be left behind because the categorical imperative is not needed in order to rescue Kant’s ethics, as deontology is often overrated. Consequently, the highest duties of the human being are to ensure that his fellow human beings enjoy unhindered autonomy and receive the honour that their dignity duly deserves, as well as to look after their welfare and treat them with respect, regardless of their dispositions. I review recent literature to appraise this new frontier within Kantian scholarship. I also explore the works of philosophers, such as Herman, Korsgaard, Wood, Höffe, and, specifically, Hill, on Kant’s conception of human dignity in relation to its conception as autonomy, humanity, and the source of human rights. (shrink)

Samson Liberman ABSTRACT: The aim of this paper is a socio-philosophical analysis of attention deficit phenomenon, which is being detected at the intersection of several subject areas. The main methodological instrument of the study is a Marxist principle of alienation. Alienation of attention, which, on the one hand, is being ….

Assuming the existence of a monster model, tameness, and continuity of nonsplitting in an abstract elementary class (AEC), we extend known superstability results: let $\mu>\operatorname {LS}(\mathbf {K})$ be a regular stability cardinal and let $\chi $ be the local character of $\mu $ -nonsplitting. The following holds: 1.When $\mu $ -nonforking is restricted to $(\mu,\geq \chi )$ -limit models ordered by universal extensions, it enjoys invariance, monotonicity, uniqueness, existence, extension, and continuity. It also has local character $\chi $. This generalizes (...) Vasey’s result [37, Corollary 13.16] which assumed $\mu $ -superstability to obtain same properties but with local character $\aleph _0$.2.There is $\lambda \in [\mu,h(\mu ))$ such that if $\mathbf {K}$ is stable in every cardinal between $\mu $ and $\lambda $, then $\mathbf {K}$ has $\mu $ -symmetry while $\mu $ -nonforking in (1) has symmetry. In this case:(a) $\mathbf {K}$ has the uniqueness of $(\mu,\geq \chi )$ -limit models: if $M_1,M_2$ are both $(\mu,\geq \chi )$ -limit over some $M_0\in K_{\mu }$, then $M_1\cong _{M_0}M_2$ ;(b)any increasing chain of $\mu ^+$ -saturated models of length $\geq \chi $ has a $\mu ^+$ -saturated union. These generalize [31] and remove the symmetry assumption in [10, 38].Under $(<\mu )$ -tameness, the conclusions of (1), (2)(a)(b) are equivalent to $\mathbf {K}$ having the $\chi $ -local character of $\mu $ -nonsplitting.Grossberg and Vasey [18, 38] gave eventual superstability criteria for tame AECs with a monster model. We remove the high cardinal threshold and reduce the cardinal jump between equivalent superstability criteria. We also add two new superstability criteria to the list: a weaker version of solvability and the boundedness of the U-rank. (shrink)

We argue that Wittgenstein’s philosophical perspective on Gödel’s most famous theorem is even more radical than has commonly been assumed. Wittgenstein shows in detail that there is no way that the Gödelian construct of a string of signs could be assigned a useful function within (ordinary) mathematics. — The focus is on Appendix III to Part I of Remarks on the Foundations of Mathematics. The present reading highlights the exceptional importance of this particular set of remarks and, more specifically, emphasises (...) its refined composition and rigorous internal structure. (shrink)

A short scientific biography emphasising the main phases of Abramsky’s research: duality theory and domains in logical form, game semantics, categorical quantum mechanics, the sheaf-theoretic approach to contextuality, and game comonads and a structural view of resources and descriptive complexity.

This paper analyses the thorny interpretative puzzle surrounding the connection between humanity and the good will. It discusses this puzzle: if the good will is the only good without qualification, why does Kant claim that humanity is something possessing an absolute value? It explores the answers to this question within Kantian scholarship; answers that emanate from a commitment to the human capacity for freedom and morality and to actual obedience to the moral law. In its final analysis, it endorses Richard (...) Dean’s good will reading as the most reflective of Kant’s ethics. It claims that in order for a person to reach the moral ideal of acting rightly and giving priority to moral law, he must always honour his duties to himself. Accordingly, it argues that before a person can be deemed as an object of respect, he must first respect the right of humanity in his own person. (shrink)

This Handbook is a combination of authoritative exposition, comprehensive survey, and fundamental research exploring the underlying unifying themes in the various areas. The intended audience is graduate students and researchers in the areas of computing and logic, as well as other people interested in the subject. We assume as background some mathematical sophistication. Much of the material will also be of interest to logicians and mathematicians.