Musikoptimismus, Musikpessimismus s.S.136-137.

The theory of ideas.--Outlines of practical philosophy.--The philosophy of Fries in its relation to theology. (De Wette, Tholuck).

Platons Politeia (347 v. Chr.), der utopische Entwurf eines gerechten Staats, gilt nicht nur als sein "Hauptwerk", sondern auch als das wirkungsgeschichtlich bedeutendste Werk der politischen Philosophie in der Geschichte des europäischen Denkens. Für die 11. Auflage überarbeitete K. Bormann die Apeltsche Übersetzung anhand der Oxforder Ausgabe von Burnet und anderen. Beigegeben wurde eine ausführliche Literaturübersicht, Anmerkungen und Register sowie eine Einleitung.

Nachdruck der Vorlesungsreihe aus dem Jahr 1916.

Lyndon's Interpolation Theorem asserts that for any valid implication between two purely relational sentences of first-order logic, there is an interpolant in which each relation symbol appears positively (negatively) only if it appears positively (negatively) in both the antecedent and the succedent of the given implication. We prove a similar, more general interpolation result with the additional requirement that, for some fixed tuple U of unary predicates U, all formulae under consideration have all quantifiers explicitly relativised to one of the (...) U. Under this stipulation, existential (universal) quantification over U contributes a positive (negative) occurrence of U. It is shown how this single new interpolation theorem, obtained by a canonical and rather elementary model theoretic proof, unifies a number of related results: the classical characterisation theorems concerning extensions (substructures) with those concerning monotonicity, as well as a many-sorted interpolation theorem focusing on positive vs. negative occurrences of predicates and on existentially vs. universally quantified sorts. (shrink)

In the field of educational administration there have been several years of active debate over how America's school systems are run. Contemporary educational administrators have been forced to reflect not only on educational policy and practice, but on the very nature of their position. How does administration contribute to the type of society we have? In what ways does it impede or enhance our cultural ideals and values? "Paradigms and Promises" offers an unorthodox solution by presenting administration as an arena (...) for critical reflection and humanistic action, rather than a more technically-oriented style of management. Foster's critical analysis is premised on an understanding of the relationship of theory to practice, and as he provides alternative theories, he sheds new light on educational administration. Orthodox administrative theory receives heavy criticism in this text. Foster employs progressive critical theory as well as conventional analyses in critical appraisal, and advocates a dialectical concept, through which administrators, teachers and students are encouraged to challenge and question each other - the eventual result being a more responsive, democratically-run system. (shrink)

There are properties of finite structures that are expressible with the use of Hilbert's ε-operator in a manner that does not depend on the actual interpretation for ε-terms, but not expressible in plain first-order. This observation strengthens a corresponding result of Gurevich, concerning the invariant use of an auxiliary ordering in first-order logic over finite structures. The present result also implies that certain non-deterministic choice constructs, which have been considered in database theory, properly enhance the expressive power of first-order logic (...) even as far as deterministic queries are concerned, thereby answering a question raised by Abiteboul and Vianu. (shrink)