We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both—to a “squeeze” in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum (...) update of B-S band and near-zone Fresnel diffraction as mockup Wigner function. (shrink)

Based on the exactly solvable case of a harmonic oscillator, we show that the direct correspondence between the Bohr-Sommerfeld phase of semiclassical quantum mechanics and the topological phase of Aharonov and Anandan is restricted to the case of a coherent state. For other Gaussian wave packets the geometric quantum phase strongly depends on the amount of squeezing.

The phase φ of any wave is determined by the ratio x/λ consisting of the distance x propagated by the wave and its wavelength λ. Hence, the dependence of φ on λ constitutes an analogue system for the mathematical operation of division, that is to obtain the hyperbolic function f(ξ)≡1/ξ. We take advantage of this observation to decompose integers into primes and implement this approach towards factorization of numbers in a multi-path Michelson interferometer. This work is part of a larger (...) program geared towards unraveling the connections between quantum mechanics and number theory. We briefly summarize this aspect. (shrink)

P. KOnig: Einleitung - P. ZIche: Idiographik und allgemeine Wissenschaftlichkeit - Windelband und die Wissenschaftsreflexion um 1900 - G. HArtung: Ein Philosoph korrigiert sich selbst - Wilhelm Windelbands Abkehr vom Relativismus - O. SChlaudt: Philosophie am Leitfaden der Empirie. WIndelbands relativistisches Programm - S. KUft: Windelbands Konzeption von Transzendentalphilosophie und ihr Bezug zur Kulturphilosophie - R. BOnito Oliva: Windelband. KUlturphilosophie und Kulturkrise - P. KOnig: Teleologie und Geschichte bei Wilhelm Windelband - J. BOhr: Im Fortschreiben der Probleme: Windelbands 19. JAhrhundert (...) - T.-H. CHang: Der Wertbegriff beiWilhelm Windelband und sein Konzept der Problemgeschichte - T. KUbalica: Die Geschichte der Philosophie als Problemgeschichte - J. MEhlich: Windelbands Praludien und das Silberne Zeitalter in Russland - G. SChluter: Windelbands italienische Kontakte und Bezugnahmen - D. STefanelli: Notizen uber Karl Vossler und die "Sudwestdeutsche Schule" - C. ZAnfi: Geschichte, Natur und Leben: Windelband und Bergson in der Historismus-Debatte - J.-I. LIndén: Der beseelte Geist: Dilthey als Kritiker der badischen Schule - H. GUndlach: Windelbands Ringen mit der Psychologie - Anhang: Wilhelm Windelband: Blaue Hefte zur Psychologie. (shrink)

In this paper we elaborate on the question how to bridge the gap between contemporary (New) music and the tradition of the past, often called ‘classical’ music. First we analyze the notion of tradition (in classical music) as being distinct from traditional music, nationalism and traditionalism. A central role in this paper is dedicated to the role of counterpoint education following J.J. Fux’s Gradus ad Parnassum in the development of Central-European classical music between the late Renaissance and late Romantic periods. (...) The developments in the 20th century New Music reveal several important trend breaks. The controversies raised during the early Renaissance, regarding the practice of polyphonic singing, are discussed with respect to their impact on music development in later ages. From these controversies and the re-discovery of Nicholas de Cusa’s view on mysticism, the experience of the non-experience in polyphonic music is elucidated. Herewith, an illuminative heuristic is found in the enfolding-unfolding paradigm both in music and pictural arts, from the Renaissance till the present. (shrink)

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

The identification of an informal concept of ‘effective calculability’ with a rigorous mathematical notion like ‘recursiveness’ or ‘Turing computability’ is still viewed as problematic, and I think rightly so. I analyze three different and conflicting perspectives Gödel articulated in the three decades from 1934 to 1964. The significant shifts in Gödel's position underline the difficulties of the methodological issues surrounding the Church-Turing Thesis.

The Language of Atoms argues that Epicurean writing, specifically Lucretius', offers a theory of performative language, of how language acts rather than describes.

The rhetoric of 'needs' has been used to legitimate all major turns in UK health policy since 1936. This study identifies the ethical, policy and technical issues arising from the concept of needs. In the first part a theory of needs is developed, which takes into account both the philosophical traditions and the practical problems arising in daily health care. In a second part, health systems throughout the world are described and compared, addressing ethical as well as economical questions. Its (...) interdisciplinary approach will make The Need for Healthcare important reading not only for those interested in or employed in the health care sector but also for students of philosophy. (shrink)

The rhetoric of 'needs' has been used to legitimate all major turns in UK health policy since 1936. This study identifies the ethical, policy and technical issues arising from the concept of needs. In the first part a theory of needs is developed, which takes into account both the philosophical traditions and the practical problems arising in daily health care. In a second part, health systems throughout the world are described and compared, addressing ethical as well as economical questions. Its (...) interdisciplinary approach will make _The Need for Healthcare_ important reading not only for those interested in or employed in the health care sector but also for students of philosophy. (shrink)