Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics--algebra, geometry, number theory, analysis, logic and set theory--with narratives to show (...) how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics. (shrink)

Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics--algebra, geometry, number theory, analysis, logic and set theory--with narratives to show (...) how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics. (shrink)

This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked. Now available as a separate volume.

This two-volume work brings together a comprehensive selection of mathematical works from the period 1707-1930. During this time the foundations of modern mathematics were laid, and From Kant to Hilbert provides an overview of the foundational work in each of the main branches of mathmeatics with narratives showing how they were linked. Now available as a separate volume.

This massive two-volume reference presents a comprehensive selection of the most important works on the foundations of mathematics. While the volumes include important forerunners like Berkeley, MacLaurin, and D'Alembert, as well as such followers as Hilbert and Bourbaki, their emphasis is on the mathematical and philosophical developments of the nineteenth century. Besides reproducing reliable English translations of classics works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare, William Ewald also includes selections from Gauss, Cantor, Kronecker, and Zermelo, all translated (...) here for the first time. (shrink)

The modern corpuscular theory of radiation was born in 1905 when Einstein advanced his light quantum hypothesis; and the steps by which Einstein's hypothesis, after years of profound scepticism, was finally and fully vindicated by Arthur Compton's 1922 scattering experiments constitutes one of the most stimulating chapters in the history of recent physics. To begin to appreciate the complexity of this chapter, however, it is only necessary to emphasize an elementary but very significant point, namely, that while Einstein based his (...) arguments for quanta largely on the behaviour of high-frequency black body radiation or ultra-violet light, Compton experimented with X-rays. A modern physicist accustomed to picturing ultra-violet light and X-radiation as simply two adjacent regions in the electromagnetic spectrum might regard this distinction as hair-splitting. But who in 1905 was sure that X-rays and γ-rays are far more closely related to ultra-violet light than to α-particles, for example? This only became evident after years of painstaking research, so that moving without elaboration from Einstein's hypothesis to Compton's experiments automatically eliminates from consideration an important segment of history—a segment in which a major role was played by William Henry Bragg. (shrink)

The award of the 1915 Nobel Prize in physics jointly to William Henry Bragg and his elder son, William Lawrence Bragg – `for their services in the analysis of crystal structure by means of Röntgen rays' – seems to have been largely uncontroversial at the time, butthere are a number of questions that surround the award and the events that followed it that deserve exploration. This paper attempts to address these questions.

SummaryWilliam Barlow was an important if unconventional scientist, known for having developed the ‘closest-packing’ atomic models of crystal structure. He resumed an early nineteenth-century tradition of utilizing crystallographical and chemical data to determine atomic arrangements in crystals. This essay recounts Barlow's career and scientific activity in three parts: His place in the tradition of determining atomic arrangement in context of this earlier tradition and of contemporaneous developments of crystallography and chemistry, his unconventional career, and the ‘success’ of his program to (...) determine atomic arrangements in crystals and its influence on the work of William Lawrence Bragg. (shrink)

In der modernen Hirnforschung wird die Frage nach der Herkunft des »Mentalen« erneut kontrovers diskutiert. Kann es z. B. »freie Handlungsentscheidungen« angesichts der kausal bedingten physischen Hirnvorgänge geben? Hier ist die Überzeugung zu prüfen, es könnten den physischen »Korrelaten« des Mentalen trotz eines Sinnverlustes die ausschlaggebenden Einsichten entnommen werden.Ewald Richter zeigt: Wird ohne nähere Begründung - ausgehend von sinnlichen Wahrnehmungen bis hin zur Erkenntnis und den ihr aufgestockten Bereichen - jede mögliche Erfahrung bereits als zugeschnitten auf ein objektivierendes Verhalten (...) aufgefaßt, dann unterbleibt eine alles entscheidende Rückfrage. Insbesondere wird der Blick verstellt sowohl für die Berechtigung verschiedener Seinsweisen als auch für die »Weise des Begegnens« von »Seiendem selbst«, welches kein »Abbilden« ist. Verfehlt wird nicht zuletzt die Frage nach der »Gründung« des »Selbst« in einem vorgängig offenen Bereich. (shrink)

This commentary examines Glenberg's characterization of “suppression” in light of negative priming and related phenomena. After offering a radically different slant on suppression, an attempt is made to weave this alternative version into Glenberg's provocative discussion of embodied memories.

The aim of the present study was to investigate the association between work-related moral stress, moral climate and moral sensitivity in mental health nursing. By means of the three scales Hospital Ethical Climate Survey, Moral Sensitivity Questionnaire and Work-Related Moral Stress, 49 participants’ experiences were assessed. The results of linear regression analysis indicated that moral stress was determined to a degree by the work place’s moral climate as well as by two aspects of the mental health staff’s moral sensitivity. The (...) nurses’ experience of ‘moral burden’ or ‘moral support’ increased or decreased their experience of moral stress. Their work-related moral stress was determined by the job-associated moral climate and two aspects of moral sensitivity. Our findings showed an association between three concepts: moral sensitivity, moral climate and moral stress. Despite being a small study, the findings seem relevant for future research leading to theory development and conceptual clarity. We suggest that more attention be given to methodological issues and developing designs that allow for comparative research in other disciplines, as well as in-depth knowledge of moral agency. Copyright © 2011 by SAGE Publications. (shrink)

Mit dem Anfang des Mittelalters und der Renaissance setzt eine Denkrichtung ein, die fur die Erkenntnis der Welt keine andere Autoritat gelten lassen will als die der Vernunft." Damit hat Oskar Ewald die Idee der Aufklarung in ihren Grundsatzen auf den Punkt gebracht. Ewald, bis 1928 Privatdozent fur Philosophie in Wien, spater von den Nationalsozialisten politisch verfolgt, zeichnet in seinem Werk von 1924 die Ideengeschichte der Aufklarung in Frankreich nach. Aus der skeptischen Perspektive eines religiosen Sozialisten stellt er (...) die wichtigsten Vertreter und unterschiedlichen Stromungen in Frankreich vor, arbeitet dabei Unterschiede heraus und zeigt Gemeinsamkeiten auf. Ewald gelingt der Spagat zwischen Darstellung und Analyse. Seine ambivalente Bewertung und der angenehme Erzahlstil seiner Darstellung machen Die Franzosische Aufklarungsphilosophie" heute noch zu einem lesenswerten Werk fur alle Philosophieinteressierten.". (shrink)

Excerpt from Kants Kritischer Idealismus: Als Grundlage von Erkenntnistheorie und Ethik Sukzession: a) Substanz. Psychische Substanz. Sub stanz und Apperzeption. B) Kausalität. 0) Wechsel wirkung. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in (...) the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)