We will prove in Zermelo-Fraenkel set theory without axiom of choice that the transitive hull R* of a relation R is not much “bigger” than R itself. As a measure for the size of a relation we introduce the notion of κ+-narrowness using surjective Hartogs numbers rather than the usul injective Hartogs values. The main theorem of this paper states that the transitive hull of a κ+-narrow relation is κ+-narrow. As an immediate corollary we obtain that, for every infinite cardinal (...) κ, the class HCκ of all κ-hereditary sets is a set with von Neumann rank ϱ ≤ κ+. Moreover, ϱ = κ+ if and only if κ is singular, otherwise ϱ = κ. The statements of the corollary are well known in the presence of the axiom of choice . To prove them without AC - as carried through here - is, however, much harder. A special case of the corollary has been treated independently by T. JECH. (shrink)

We will prove in Zermelo-Fraenkel set theory without axiom of choice that the transitive hull R* of a relation R is not much “bigger” than R itself. As a measure for the size of a relation we introduce the notion of κ+-narrowness using surjective Hartogs numbers rather than the usul injective Hartogs values. The main theorem of this paper states that the transitive hull of a κ+-narrow relation is κ+-narrow. As an immediate corollary we obtain that, for every infinite cardinal (...) κ, the class HCκ of all κ-hereditary sets is a set with von Neumann rank ϱ(HCκ) ≤ κ+. Moreover, ϱ(HCκ) = κ+ if and only if κ is singular, otherwise ϱ(HCκ) = κ. The statements of the corollary are well known in the presence of the axiom of choice (AC). To prove them without AC - as carried through here - is, however, much harder. A special case of the corollary (κ = ω1, i.e., the class HCω1 of all hereditarily countable sets) has been treated independently by T. JECH. (shrink)

It is easy to prove in ZF− that a relation R satisfies the maximal condition if and only if its transitive hull R* does; equivalently: R is well-founded if and only if R* is. We will show in the following that, if the maximal condition is replaced by the chain condition, as is often the case in Algebra, the resulting statement is not provable in ZF− anymore . More precisely, we will prove that this statement is equivalent in ZF− to (...) the countable axiom of choice ACω. Moreover, applying this result we will prove that the axiom of dependent choices, restricted to partial orders as used in Algebra, already implies the general form for arbitrary relations as formulated first by Teichmüller and, independently, some time later by Bernays and Tarski. (shrink)

We show the existence of a high r. e. degree bounding only joins of minimal pairs and of a high2 nonbounding r. e. degree. MSC: 03D25.

The differentiation of trait anxiety and depression in nonclinical and clinical populations is addressed. Following the tripartite model, it is assumed that anxiety and depression share a large portion of negative affectivity, but differ with respect to bodily hyperarousal and anhedonia. In contrast to the tripartite model, NA is subdivided into worry and dysthymia, which leads to a four-variable model of anxiety and depression encompassing emotionality, worry, dysthymia, and anhedonia. Item-level confirmatory factor analyses and latent class cluster analysis based on (...) a large nation-wide representative German sample substantiate the construct validity of the model. Further evidence concerning convergent and discriminant validity with respect to related constructs is obtained in two smaller nonclinical and clinical samples. Factors influencing the association between components of anxiety and depression are discussed. (shrink)

Auch als originar politischer Denker ist Karl Jaspers reich an Einsichten: Ausgehend vom Ethos der Freiheit jedes Einzelnen richtet er seinen Blick auf die konkrete politische Gestaltung einer Freiheitsordnung. Dabei steht fur ihn im Hinblick auf die noch junge Bundesrepublik die Selbsterziehung in Freiheit im Zentrum seiner oft mahnenden Worte. Ganz im sokratischen Sinne fordert er intellektuelle Redlichkeit und politische Wahrhaftigkeit ein, um den beiden grossen Gegenwartsherausforderungen gewachsen zu sein: einer atomwaffenbestuckten Welt, die sich jederzeit selbst ausloschen kann, und dem (...) modernen Totalitarismus, der in seiner Verherrlichung des Antipolitischen allen politischen Ordnungsbestrebungen die Vernichtung androht. Jeder Frieden, der mehr ist als die Friedhofsruhe eines Waffenstillstands, grundet fur Jaspers in der politischen Freiheit handelnder Burgerinnen und Burger, die gemeinsam Sorge fur die Integritat ihres politischen Gemeinwesens tragen. Mit Beitragen von Karl-Heinz Breier, Alexander Gantschow, Anton Hugli, Annabelle Petschow, Kurt Salamun, Reinhard Schulz, Bernhard Sutor, Bernd Weidmann. (shrink)

A teoria da implicatura constitui o principal legado de Paul Grice aos modernos estudos da pragmática linguística. Embora associado à filosofia da linguagem ordinária, seu pensamento não se apresenta marcado pela aversão à sistematização teórica que, segundo se diz, caracterizou essa corrente filosófica. Pelo contrário, a obra do filósofo inglês, apesar de dispersa em artigos só postumamente reunidos em livro, constitui um esforço coerente e rigoroso de analisar os princípios que explicam o comportamento racional do homem. Este ensaio oferece uma (...) tentativa de interpretação da análise que ele propôs para o fenômeno da implicatura, buscando integrar tal análise, progressivamente, ao quadro mais geral de sua filosofia da linguagem e de sua psicologia filosófica. De passagem, é sugerida uma aproximação, quanto aos propósitos, entre o programa filosófico de Grice e certa ensaística crítica do poeta argentino Jorge Luis Borges, sugestão talvez surpreendente, mas que pode se mostrar instrutiva. (shrink)

Romano Guardini gilt als einer der massgeblichen christlichen Denker des 20. Jahrhunderts. Seine Schriften, philosophische und theologische Abhandlungen, aber auch zahlreiche meditative und spirituelle Texte, haben eine weltweite Verbreitung gefunden und pragen ungebrochen bis heute Generationen von Leserinnen und Lesern. Der vorliegende Band, der aus Anlass des 50. Todestages Romano Guardinis am 1. Oktober 2018 sowie zur Eroffnung des Seligsprechungsprozesses erscheint, versammelt Beitrage namhafter Autorinnen und Autoren. Aus unterschiedlichen Perspektiven widmen sie sich insbesondere Guardinis Buch "Der Herr" uber Person und (...) Botschaft Jesu Christi, aber beispielsweise auch Aspekten der Gottesfrage, der Ethik oder des Gebets. Eine Fundgrube fur alle, die sich der Person und dem Denken Guardinis neu nahern mochten. Mit Beitragen von Hanna-Barbara Gerl-Falkovitz, Jean Greisch, Karl Kardinal Lehmann (+), Peter Reifenberg, Marius Reiser, Peter Schallenberg, P. Kosmas Lars Thielmann OCist, Karl-Heinz Wiesemann. (shrink)

In his works, Bernard of Clairvaux, designed an impressive curriculum for a monastic "school of spiritual love ". Because of Bernard's remarkable level of slyle and doctrine, this curriculum was limited for centuries to a monastic elite audience. According to the article, however at the end of the ]4th century the anonymous English author of The Cloud of Unknowing (probably a Carthusian) rewrote this program with mystico-pedagogical talent and created a "democratized version" of this course - with the central metaphor (...) of a "tree of love" - thus meeting the spiritual interests and needs lay-people had in that particular period. (shrink)

Este ensaio discute a tensão entre ética e estética (que corresponde à oposição da filosofia da arte e da teoria estética) com a ajuda de três pensadores, que interiorizaram a experiência romântico-moderna, sem que se tornassem suspeitos de qualquer idealismo: Kierkegaard, Musil, Adorno.Palavras-chave: Estética. Ética. Kierkegaard. Musil. Adorno. AbstractThis essay discusses the tension between Ethics and Esthetics (which corresponds to the opposition of Philosophy of Arts and Esthetic Theory) helped by three thinkers, who interiorized the modern-romantic experience, without any suspicion (...) of any idealism: Kiierkegaard, Musil, Adorno.Keywords: Esthetics. Ethics. Kierkegaard. Musil. Adorno. (shrink)

We investigate a simply typed term system ℘R ω aimed at defining partial primitive recursive functionals over arbitrary Scott domains . A hierarchy of complexity classes R n ω for functionals definable in ℘R ω is given based on a hierarchy of term classes ℘R n ωpn denoting the n th class of so-called prenormal terms . They come into play by the key observation that every term t can be transformed by what we call higher type modularization as a (...) kind of inversion of normalization into an αβη equal term t ′ having almost no structural complexity. However, it turns out that normalization of a prenormal term may increase its structural complexity with respect to the classes ℘R n ωpn , and conversely, ground type modularization being still possible may reduce it. Thus the structural complexity of a prenormal term t defined as the least n with t ϵ ℘R n ωpn depends strongly on the representation of t . We present a measure denoted μ = n rel v , ϱ for prenormal terms t to be read as t is of complexity n with valued free variables v and valued type π . It is shown that μ is stable on αβη equal terms and furthermore, μ ⩽ min {n |∃t′ ϵ ℘R n ω pn .t′ = αβη t} . Moreover, if t is in a certain μ- normal form 2, the estimate above is even true with equality, that is μ yields the structural complexity of the maximal modularization of t , clearly the best a purely structural measure can do. μ-normal forms 2 do not always exist. The counterexample we give, however, clearly shows that μ does not only take into account the structural complexity of a prenormal term but also the nature and computationl complexity of the algorithm it represents. (shrink)

In einer qualitativen Interviewstudie zur Situation und zu Veränderungen in deutschen Krankenhäusern berichteten GeschäftsführerInnen und ÄrztInnen übereinstimmend von hohem und zunehmendem Druck, mittels der medizinisch-pflegerischen Leistungen Gewinne machen zu müssen. Während die GeschäftsführerInnen dabei jedoch bei patientenbezogenen ärztlichen Entscheidungen keine ethischen Konflikte sahen, berichteten ÄrztInnen von erheblichen Verletzungen des ärztlichen Ethos. Während die GeschäftsführerInnen erklärten, sie würden von den ÄrztInnen „ethisch korrektes Entscheiden“ erwarten, berichteten ÄrztInnen, dass die Rahmenbedingungen ihrer Arbeit die Unabhängigkeit ärztlicher Entscheidungen untergrüben, indem betriebswirtschaftliche Interessen die Medizin (...) korrumpierten. Entscheidungen zur stationären Aufnahme, zur Wahl der Behandlungsprozesse und zur Entlassung der PatientInnen seien in zunehmendem Maße an wirtschaftlichen Interessen des Hauses und damit nicht allein an den medizinischen Bedarfen der PatientInnen orientiert. GeschäftsführerInnen bewerteten die Unabhängigkeit ärztlicher Entscheidungen hoch, während ÄrztInnen diese als deutlich eingeschränkt bezeichneten. Die Ergebnisse verweisen auf ungelöste Konflikte zwischen Medizinethik und „Ökonomie“. Organisationsethik ist zur Vermittlung auf der Ebene der Krankenhäuser und des Gesundheitswesens insgesamt gefordert. Sie muss sich darüber hinaus mit der Wissensproduktion im Feld der Versorgungs- und Qualitätsforschung kritisch auseinandersetzen. (shrink)

Is there still any importance of Husserl's Phenomenology for contemporary forms of philosophy of science? A comparison between Phenomenology and a prominent form of such modern philosophy of science, the so-called 'Critical Rationalism' of Karl Popper, may help to answer this question. Therefore, the different levels of argumentation have to be worked out to make the respective arguments applicable to one another. We are arguing for the following thesis: the strategy of corroboration in Critical Rationalism can be justified by means (...) of the phenomenological conception of 'intentionality of consciousness'. A typical example may illustrate how Popper's conception of taking the degree of corroboration as an indicator of the degree of verisimilitude can find its deeper foundation in Husserl's genetic interpretation of ordinary kinds of experience. (shrink)

In contemplating depictions of the crucifixion, observers have generally overlooked an important provocative element: Jesus is put to death as a latro, an outlaw, between two other latrones. For this reason, references to latrones in the Bible, in Eremite and monastic texts, as well as in later Christian writings are more than a mere literary device. They offer a previously unexplored and underappreciated window into a theology of freedom.

Pohl (Chinese studies, Trier U., Germany) and Muller (philosophy, Trier U.) present 16 contributions penned by U.S., German, Taiwanese, and Chinese scholars that explore the ethical viewpoints of their respective philosophical traditions. The collection is meant to be cross-cultural at the same time as it attends to the political/ideological rifts of the Western and Chinese regions. After exploring theoretical issues of understanding ethics in a global context, the contributors explore ethical and political values for Chinese and Western societies respectively. Final (...) papers offer a more explicitly comparative approach, looking at such ideas as morality and the family, medical ethics, and jurisprudential attitudes towards human rights. Annotation copyrighted by Book News, Inc., Portland, OR. (shrink)