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)

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.

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)

Kann die Kritische Theorie im erziehungswissenschaftlichen und bildungspolitischen Diskurs noch Aktualität beanspruchen? In ihren Beiträgen befassen sich die Autorinnen und Autoren mit einzelnen erziehungs- und bildungstheoretischen Aspekten des aktuellen Diskurses sowie mit pädagogisch relevanten Themen aus dem gesellschaftspolitischen Bereich. Im Fokus steht die Frage, ob die Denkinstrumente der Kritischen Theorie noch zur Analyse von Entwicklungen und zur Aufklärung über Widersprüche im erziehungswissenschaftlichen Diskurs beitragen können.

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)

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)

In literature and the humanities, guilt has the same major importance as in penal law. Due to the anthropocentric legal system, however, guilt is the linchpin par excellence within the framework of penal law. The article confirms this emphasis on guilt through an examination of the constitutional determinants of penal law, the development of the concept of guilt, and also a change in its perspective which has shifted to an emphasis on the purpose of punishment rather than on the reasons (...) for it. Penal law is intended to ensure legal peace and map out a path for reconciliation within society. (shrink)

How do Chinese and Western philosophical traditions interact today? In the underlying collection of articles both Chinese and Western scholars carefully examine the issue, one of fundamental importance for the mutual understanding of China and the West. The volume is the result of a symposium which sought to initiate a dialogue between China and the West on questions ranging from philosophy to politics and aesthetics. -/- The papers deal with various topics of cross-cultural hermeneutics, such as differences between Chinese and (...) Western concepts of man's relation to the universe, human rights, self and community, good and evil, and beauty. In some of the contributions attempts are made to adapt the Chinese philosophical inheritance to the modern or post-modern condition. A useful reference for all those - historians of ideas, political scientists, and China watchers alike - who want to understand the dynamics of the cultural flow between East and West and the significance of Chinese thought in a global context. (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)

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)

A collaboration has been arranged for the preparation and publication in three dual-language volumes within the Hegel series presently in preparation by Fr. Frommanns Verlag of new critical editions of Hegel’s 1821 Lectures on the Philosophy of Religion, to be included in one volume with the up to now unpublished first form of his Encyclopedia, and Hegel’s 1824 Lectures on the Philosophy of Religion, in two volumes. The new German editions are to be prepared by Professor Dr. K.-H. Ilting. The (...) English translations are to be prepared by Professor Darrel E. Christensen. The anticipation is that the first of these editions will appear some time in 1973. (shrink)