In the above mentioned article [1] unfortunately the names of the translators of Toeplitz's lecture were omitted. The correct title is:The Problem of University Courses on Infinitesimal Calculus and TheirDemarcation from Infinitesimal Calculus in High SchoolsOtto ToeplitzTranslated into English by Michael N. Fried and Hans Niels Jahnke.

When the Association of German Scientists and Physicians last met in Düsseldorf exactly twenty-eight years ago on September 24, a debate took place following lectures by Felix Klein and Alfred Pringsheim on roughly the same topic to which I would like to direct your attention today. The printed report of the Düsseldorf debate only remarked that, “It is not possible to go into details here,” so one can only guess how two of the most powerful teacher personalities among German mathematicians (...) of that time had confronted one another with their diametrically opposed views on this topic and how they did so with their characteristically lively spirit. (shrink)

Argument“The problem of university courses on infinitesimal calculus and their demarcation from infinitesimal calculus in high schools” is the published version of an address Otto Toeplitz delivered at a meeting of the German Mathematical Society held in Düsseldorf in 1926. It contains the most detailed exposition of Toeplitz's ideas about mathematics education, particularly his thinking about the role of the history of mathematics in mathematics education, which he called the “genetic method” to teaching mathematics. The tensions and (...) assumptions about mathematics, history of mathematics, and historiography revealed in this piece dedicated to educational ideas are what make Toeplitz's text interesting in the study of historiography of mathematics. In general, the ways historiography of mathematics and teaching of mathematics, even without an immediate concern for history, are deeply entangled and, in our view, worth attention both in historical and educational research. (shrink)

Um den geschichtlich maßgebenden Horizont zu streifen, in den das zu besprechende Buch von Stenzel gehört, sollten zunächst Paul Natorps „Platos Ideenlehre“ und Nicolai Hartmanns „Platos Logik des Seins“ als die einfluss¬reichsten neukantianischen Platoarbeiten jener Zeit erwähnt werden. Zur selben Zeit wird das Mathematische bei Platon durch Beiträge von Otto Toeplitz und Oskar Becker sehr stark in den Vordergrund gerückt und ertragreich ausgearbeitet. In diesem geistigen Klima der 1930er Jahre, werden die um drei Aufsätze erweiterten Studien Stenzels veröffentlicht.

This book offers a rich introduction to Heidegger that reveals Poggeler's sound scholarship and philosophical criticism.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

This chapter contains sections titled: Disbelief/Dissent/Unbelief/Atheism After Positivism Against False Simplifications Transforming Metaphysical Questions from Urgent Problems into Interesting Puzzles Rejecting Any Answers From Presumed “Higher Instances” Scientific Solutions to Problems and Philosophical Answers to Questions Struggling Toward Humanism Notes.

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)

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)

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.

La juridicisation croissante de notre vie publique et le fonctionnement de l'Etat de droit ont rendu nécessaire de reposer la question des modes de raisonnement fondant désormais les décisions judiciaires, de plus en plus importantes, de plus en plus nombreuses, qui régissent notre activité quotidienne. L'enjeu n'en est pas négligeable. Au-delà d'une vision "technologique" du droit - le droit, une technique, un outil... -, c'est aussi, et de manière peut-être plus inquiétante, une vision plus politique qui en est souvent suggérée (...) : la mort annoncée du droit comme technique autonome, capable de résister au politique - simple habillage, habile camouflage, d'une décision dont la motivation ne serait jamais - ne pourrait jamais être - mise en échec, orientée, ou commandée par les contraintes du droit. Entre positivisme et réalisme, l'oscillation risque d'être catastrophique. Entre ces deux abîmes, cet ouvrage tente d'ouvrir les voies d'une réflexion rigoureuse et scientifique sur les moyens intellectuels les plus nécessaires à l'affirmation - et à l'affermissement - de l'Etat de droit. (shrink)

v. 1. Philosophy of religion.--v. 2. Origin and development of Christianity.