Attempts to extend the classical Hausdorff difference hierarchy to the case of partitions of a space to k > 2 subsets lead to non‐equivalent notions. In a hope to identify the “right” extension we consider the extensions appeared in the literature so far: the limit‐, level‐, Boolean and Wadge hierarchies of k ‐partitions. The advantages and disadvantages of the four hierarchies are discussed. The main technical contribution of this paper is a complete characterization of the Wadge degrees of Δ02‐measurable k (...) ‐partitions of the Baire space. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim). (shrink)

We establish some results on the Borel and difference hierarchies in φ-spaces. Such spaces are the topological counterpart of the algebraic directed-complete partial orderings. E.g., we prove analogs of the Hausdorff Theorem relating the difference and Borel hierarchies and of the Lavrentyev Theorem on the non-collapse of the difference hierarchy. Some of our results generalize results of A. Tang for the space Pω. We also sketch some older applications of these hierarchies and present a new application to the question of (...) characterizing the ω-ary Boolean operations generating a given level of the Wadge hierarchy from the open sets. (shrink)

It is well known that any finitary operation is recursive in a suitable total numeration. A. Orlicki showed that there is an ω-operation not recursive in any total numeration. We will show that any ω-operation is recursive in a partial numeration.

We prove that for any k≥3 each element of the h-quasiorder of finite k-labeled forests is definable in the ordinary first order language and, respectively, each element of the h-quasiorder of countable k-labeled forests is definable in the language Lω1ω, in both cases provided that the minimal non-smallest elements are allowed as parameters. As corollaries, we characterize the automorphism groups of both structures and show that the structure of finite k-forests is atomic. Similar results hold true for two other relevant (...) structures: the h-quasiorder of finite k-labeled trees and of finite k-labeled trees with a fixed label of the root element. (shrink)

Business Ethics for Future Leaders presents students with contemporary readings in the discipline that highlight the changing dynamics of ethics in today's business world and challenge readers to transcend the traditional leadership mindset. In Section I, students read articles that address how ethical behavior can contribute to organizational success, why individuals view ethical behavior differently, and how leaders can incorporate ethical principles into their decision making. Section II focuses on ethical challenges in the multigenerational workplace. In Sections III and IV, (...) students learn about the ideal mindset for ethical leaders and ethical challenges related to cyber security and the internet. Additional sections discuss the ethics of business decision making, sustainable environmental management, and ethical climate and safety performance. The final section speaks to ethical public affairs, issues, and crisis management. Featuring highly accessible readings, Business Ethics for Future Leaders is an ideal supplemental textbook for courses in business and leadership. (shrink)

Despite extensive research and a multitude of computer systems, there is no viable computerized system that is even remotely capable of approaching the skill of an expert human physician. Minor obstacles in the design of a practical system include imprecise medical terminology, the use of nonindependent clinical parameters, incorrect or inaccurate information supplied to the computer, and static representation of a patient's medical history. Major problems that go beyond computer manipulation of data include the requirement for a massive data base, (...) representation of medical knowledge in general rather than specific terms, and physician fallibility in the design of a computer system. CiteULike Connotea Del.icio.us What's this? (shrink)

Drawing on a close reading of Pierre Bourdieu’s works, I offer five lessons for a science of crime and punishment: always historicize; dissect symbolic categories; produce embodied accounts; avoid state thought; and embrace commitment. I offer illustrative examples and demonstrate the practical implications of Bourdieu’s ideas, and I apply the lessons to a critique of orthodox criminology.

Society Semantics, introduced by W. Carnielli and M. Lima-Marques, is a method for obtaining new logics from the combination of agents of a given logic. The goal of this paper is to present several generalizations of this method, as well as to show some applications to many-valued logics. After a reformulation of Society Semantics in a wider setting, we develop in detail two examples of application of the new formalism, characterizing a hierarchy of paraconsistent logics called Pn and a hierarchy (...) of paracomplete logics In. We also propose three further generalizations, obtaining Society Semantics for several many-valued logics, including a hierarchy of logics called In Pk which are both paraconsistent and paracomplete. (shrink)

In his late lectures, Foucault developed the ancient Greek concept of parrhesia, a courage to speak the truth in the face of danger. While not entirely uncritical of the notion, Foucault seemed to find something of an ideal in the political and aesthetic ideal of franc-parler, of speaking freely and courageously. Simultaneously, the post-1968 political valorized the ideal of parrhesia, or “speaking truth to power”: parrhesia seemed inherently progressive, the sole preserve of the left. But a cursory inspection of the (...) annals of Nazism and fascism shows that these movements also aligned themselves with parrhesiastical modes of expression. The fragmented, disparate strands of today’s neo-fascist revival, too, are closely imbricated with the notion of speaking valiantly in the face of supposed orthodoxies: in many ways, the preeminent parrhesiasts today are found on the neo-fascist side. This points to an essential weakness in the concept of parrhesia, particularly in terms of its value and valence as a strategy for the political left. Perhaps it matters less how we speak—being caught up in language games—than what policies and programs we enact. Žižek’s plea for a renewed dogmatic orthodoxy and Chesterton’s criticism of heresy offer ways out of the parrhesiastical trap. (shrink)

The text of Ephesians 6:10–20 reframes the sectors of what we know as ‘spiritual warfare’ to tackle demons that menace and disturb people’s daily life. Reading this text from an African perspective helps to understand the text as well as believers in Africa to efficiently use the proposed weapons.Contribution: An approach such as an intercultural criticism with the aid of a four-legged stool model in this research proved to be appropriate.

This book explores the literature on spirituality as an important dimension of psychology, and explains the relationship between psychological treatment and ...

In this work we define, in a general way, an algebraic semantics for the logics of the hierarchy InPk. This semantics is defined by means of an alternative construction, with respect to the usual algebraic semantics, and it is known in the literature as Twist-structures semantics. Besides that, we modify such construction, defining the so-called ω-Twist-structures here. This adaptation allows us to prove adequacy theorems for every logic of the hierarchy InPk.

The European Commission’s proposal to address antimicrobial resistance using transferable exclusivity vouchers (TEVs) is fundamentally flawed. European policymakers and regulators should consider alternatives, such as better funding for basic and clinical research, use of advance market commitments funded by a pay-or-play tax, or enacting an EU Fund for Antibiotic Development.

The Wadge hierarchy was originally defined and studied only in the Baire space. Here we extend the Wadge hierarchy of Borel sets to arbitrary topological spaces by providing a set-theoretic definition of all its levels. We show that our extension behaves well in second countable spaces and especially in quasi-Polish spaces. In particular, all levels are preserved by continuous open surjections between second countable spaces which implies e.g., several Hausdorff–Kuratowski -type theorems in quasi-Polish spaces. In fact, many results hold not (...) only for the Wadge hierarchy of sets but also for its extension to Borel functions from a space to a countable better quasiorder Q. (shrink)

The wedge hierarchy was originally defined and studied only in the Baire space (and some other zero-dimensional spaces). Here we extend the Wadge hierarchy of Borel sets to arbitrary topological spaces by providing a set-theoretic definition of all its levels. We show that our extension behaves well in second countable spaces and especially in quasi-Polish spaces. In particular, all levels are preserved by continuous open surjections between second countable spaces which implies e.g. several Hausdorff-Kuratowski-type theorems in quasi-Polish spaces. In fact, (...) many results hold not only for the Wadge hierarchy of sets but also for its extension to Borel functions from a space to a countable better quasiorder Q. (shrink)

A Polish space is not always homeomorphic to a computably presented Polish space. In this article, we examine degrees of non-computability of presenting homeomorphic copies of compact Polish spaces. We show that there exists a $\mathbf {0}'$ -computable low $_3$ compact Polish space which is not homeomorphic to a computable one, and that, for any natural number $n\geq 2$, there exists a Polish space $X_n$ such that exactly the high $_{n}$ -degrees are required to present the homeomorphism type of $X_n$. (...) Along the way we investigate the computable aspects of Čech homology groups. We also show that no compact Polish space has a least presentation with respect to Turing reducibility. (shrink)

We state some general facts on r.e. structures, e.g. we show that the free countable structures in quasivarieties are r.e. and construct acceptable numerations and universal r.e. structures in quasivarieties. The last facts are similar to the existence of acceptable numerations of r.e. sets and creative sets. We state a universality property of the acceptable numerations, classify some index sets and discuss their relation to other decision problems. These results show that the r.e. structures behave in some respects better than (...) the recursive structures. (shrink)

We consider fine hierarchies in recursion theory, descriptive set theory, logic and complexity theory. The main results state that the sets of values of different Boolean terms coincide with the levels of suitable fine hierarchies. This gives new short descriptions of these hierarchies and shows that collections of sets of values of Boolean terms are almost well ordered by inclusion. For the sake of completeness we mention also some earlier results demonstrating the usefulness of fine hierarchies.

Evincing his not uncritical allegiance to pragmatic philosophy, Isreal Scheffler's notion of ethics and its role in education is one which attempts to dissolve inherited distinctions in the field. For Scheffler's ethics, aimed always at justifiable conduct, is conduct guided by rationality, powered by emotion, responsive the needs of it agents’ community, learned through moral education, practiced habitually, and ultimately justified by individual commitment to action. Scheffler's primary desideratum is to arrive at an ethics that is justifiable because it is (...) reasonable and so can gain our commitment. (shrink)

Gray's comparator model fails to provide an adequate explanation of consciousness for two reasons. First, it is based on a narrow definition of consciousness that excludes basic phenomenology and active functions of consciousness. Second, match/mismatch decisions can be made without producing an experience of consciousness. The model thus violates the sufficiency criterion.

Le présent article offre une nouvelle interprétation du concept aristotélicien d' « imagination » ou phantasia par les moyens d'une lecture attentive du Traité de l'âme, III, 3, tout particulièrement de son début. Aristote soutient que ses prédécesseurs ne peuvent expliquer comment l'erreur se produit. Mais c'est également une difficulté pour sa propre explication des formes de base de la perception et de la pensée, et Aristote introduit la phantasia précisément pour répondre à cette question. Il soutient qu'elle ne peut (...) être réduite aux autres états mentaux et offre donc une nouvelle explication causale du contenu, laquelle explique comment un état mental peut être aussi bien vrai que faux. The present article offers a new interpretation of Aristotle's concept of « imagination » or phantasia through a close reading of On the Soul, 3. 3, with special attention to the chapter's opening. Aristotle argues that his predecessors cannot explain how error can ever occur. But it is equally a difficulty for his own account of the most basic types of perception and thought, and Aristotle introduces phantasia precisely to answer this problem. He argues that it cannot be reduced to other mental states and then offers a new causal account of content which explains how a mental state can be either true or false. (shrink)