This paper addresses an article by Felix Klein of 1886, in which he generalized his theory of polynomial equations of degree 5—comprehensively discussed in his Lectures on the Icosahedron two years earlier—to equations of degree 6 and 7. To do so, Klein used results previously established in line geometry. I review Klein’s 1886 article, its diverse mathematical background, and its place within the broader history of mathematics. I argue that the program advanced by this article, although historically overlooked due to (...) its eventual failure, offers a valuable insight into a time of crucial evolution of the subject. (shrink)

The first task of the philosophy of nature -- The problem of elementarity -- The philosophical myth of creation : the Platonic philosophy of nature -- Aristotle's Physics -- Aristotle's method of cosmological speculation -- Descartes' mechanism -- Isaac Newton and the mathematical principles of natural philosophy -- The world of Leibniz : the best of all possible worlds -- Immanuel Kant : the a priori conditions of the sciences -- The romantic philosophy of nature -- The cosmology of Whitehead: (...) the universe as process -- Popper's open universe -- Science as philosophy -- Problems and methods of the philosophy of nature. (shrink)

I. Ókor -- II. A középkor és a reneszánsz -- III. Az újkor.

J’examinerai ici le problème inépuisable de la signification de l’homogénéité sociale pour la démocratie politique, essentiellement à travers une analyse précise des concepts, et uniquement du point de vue politique, et non du point de vue social, économique ou éthique.Comme n’importe quel autre type de domination politique, le type..

Bd.l. Orientierung und Entscheidung.--Bd. 2. Recht, Staat, Macht.--Bd. 3. Schriften zur Staatslehre.

Arisztotelész korai etikái.--Hobbes Leviatánja.--Mandeville és a Méhek meséje.--Spinoza Etikája.--Rousseau és az Új Héloïse.--Kant etikái.--A szerencsétlen tudat fenomenológiája.--Ludwig Feuerbach redivivus.--Az istenek szomjaznak.--Lukács György és Seidler Irma.--A lelki szegénységről.

Erarbeitet von Dominik Balg, Anne Burkard, Henning Franzen, Aenna Frottier, David Lanius, David Löwenstein, Hanna Lucks, Kirsten Meyer, Donata Romizi, Katharina Schulz, Stefanie Thiele und Annett Wienmeister. -/- Die Entwicklung argumentativer Fähigkeiten ist ein zentrales Ziel des Ethik- und Philosophieunterrichts, ja überhaupt ein zentrales Bildungsziel. Wie aber kann das gelingen? In vielen verfügbaren Unterrichtsmaterialien werden argumentative Fähigkeiten eher vorausgesetzt als systematisch gefördert. Auch curriculare Vorgaben bleiben zumeist sehr unspezifisch. Lehrpersonen werden so weitgehend allein gelassen mit der Aufgabe, Lernende beim (...) Erwerb argumentativer Fähigkeiten zu fördern. Die vorliegende Aufgabensammlung soll dazu beitragen, diese Lücke zu schließen. Sie bietet Lehrpersonen reichhaltige Materialien für die spiralcurricular angelegte, systematische Förderung argumentativer Fähigkeit anhand exemplarischer Inhalte. Orientiert an klaren fachlichen Standards finden sich hier Aufgaben auf vier Niveaustufen, jeweils in Verbindung mit übersichtlichen Merkblättern. Die Aufgaben der beiden unteren Niveaustufen lassen sich bereits für jüngere Lernende der Sekundarstufe einsetzen, Aufgaben der obersten Niveaustufe richten sich an Lernende von Abschlussklassen oder der Studieneingangsphase. Für die Hand der Lehrpersonen werden die Aufgaben und Merkblätter durch fachliche und didaktische Kommentare sowie Lösungshinweise ergänzt. (shrink)

'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen (...) world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity"--Provided by publisher. (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)

This ground-breaking collection of essays tackles the philosophical issues at play in cosmology, physics, mathematics, and neuroscience. The book considers topics such as the presence of ontology in cosmological theory and physics. It also weighs the philosophical issues connected with mathematical method, the neuroscience of emotions, and evolutionary anthropology. The contributions look at structuralism in the Platonic philosophy of science and the issue of knowledge and faith. This book is a must read for anyone interested in the philosophy of science (...) and the increasingly blurred borders between the two. (shrink)

This book is a collection of recent lectures by Agnes Heller, delivered all over the world. These essays are edited and introduced by the author of the most significant intellectual biography of her work, John Grumley. In these lectures, Heller engages one of her greatest strengths: to discover philosophy within the very flux of contemporary events. These bring together such timely topics as refugees, human rights, truth in politics and the contemporary university as well as perennial issues like (...) the possibility of artistic representation of the Holocaust, the question whether revolutions are always betrayed, and the possibility of universality in the contemporary multicultural world. (shrink)

Mit dieser überarbeiteten Neuauflage wird das Standardwerk endlich wieder verfügbar. Die Ausgabe ist bereichert durch ein Vorwort und einen Essay Nietzsches politische Philosophie in der philosophischen und politischen Diskussion der Gegenwart und eine Übersicht über die neuere Nietzsche-Forschung.

Bd. 1. Von Aristoteles bis Galilei.--Bd. 2. Von Descartes bis Robert Mayer.

Burckhardt und Nietzsche.--Nietzsche und Goethe.--Rilke und Nietzsche.--Bibliographische Notiz (p.[126]).

A guest's gift -- In the voice -- Square necessities -- Varieties of indefiniteness -- An imported irregularity -- Ways of indeterminacy -- From empty words -- Toward the object in general -- The infinite judgment -- Zero logic -- Non-I and I -- Collapsing sentences -- The springboard principle -- After the judgment -- A persistent particle -- Callings.

Das Buch von den Ursachen, eine im 9. Jhdt. bei Bagdad entstandene, im 12. Jhdt. ins Lateinische ubersetzte und zunachst Aristoteles zugeschriebene neuplatonische Schrift, gehort zu den zentralen philosophischen Texten, die an den Universitaten des 13. Jhdts. gelesen werden. Ihr anonymer Autor entwickelt darin eine an Proklos angelehnte, jedoch zugunsten der Schopfungstheologie der monotheistischen Religionen abgewandelte Ontologie. Der Kommentar bildet eine wichtige Quelle fur Erkenntnisse zu Entstehung und Inhalt des Buches. Auch zeigt er die Arbeitsweise eines der grossten Denker des (...) lateinischen Mittelalters und ist ein wichtiger Baustein fur das Verstandnis des philosophischen und theologischen Werkes Thomas von Aquins, in dem er immer wieder auf das Buch von den Ursachen zuruckgreift. (shrink)

Methods Young healthy heterosexual couples underwent sleep-lab-based polysomnography of two sleeping arrangements: individual sleep and co-sleep. Individual and dyadic sleep parameters (i.e., synchronization of sleep stages) were collected. The latter were assessed using cross-recurrence quantification analysis. Additionally, subjective sleep quality, relationship characteristics, and chronotype were monitored. Data were analyzed comparing co-sleep vs. individual sleep. Interaction effects of the sleeping arrangement with gender, chronotype, or relationship characteristics were moreover tested. Results As compared to sleeping individually, co-sleeping was associated with about 10% (...) more REM sleep, less fragmented REM sleep (p = 0.008), longer undisturbed REM fragments (p = 0.0006), and more limb movements (p = 0.007). None of the other sleep stages was significantly altered. Social support interacted with sleeping arrangement in a way that individuals with suboptimal social support showed the biggest impact of the sleeping arrangement on REM sleep. Sleep architectures were more synchronized between partners during co-sleep (p = 0.005) even if wake phases were excluded (p = 0.022). Moreover, sleep architectures are significantly coupled across a lag of ± 5min. Depth of relationship represented an additional significant main effect regarding synchronization, reflecting a positive association between the two. Neither REM sleep nor synchronization was influenced by gender, chronotype, or other relationship characteristics. Conclusion Depending on the sleeping arrangement, couple's sleep architecture and synchronization show alterations that are modified by relationship characteristics. We discuss that these alterations could be part of a self-enhancing feedback loop of REM sleep and sociality and a mechanism through which sociality prevents mental illness. (shrink)