Expected utility maximization problem is one of the most useful tools in mathematical finance, decision analysis and economics. Motivated by statistical model selection, via the principle of expected utility maximization, Friedman and Sandow (J Mach Learn Res 4:257–291, 2003a) considered the model performance question from the point of view of an investor who evaluates models based on the performance of the optimal strategies that the models suggest. They interpreted their performance measures in information theoretic terms and provided new generalizations of (...) Shannon entropy and Kullback–Leibler relative entropy and called them U-entropy and U-relative entropy. In this article, a utility-based criterion for independence of two random variables is defined. Then, Markov’s inequality for probabilities is extended from the U-entropy viewpoint. Moreover, a lower bound for the U-relative entropy is obtained. Finally, a link between conditional U-entropy and conditional Renyi entropy is derived. (shrink)

Expected utility maximization problem is one of the most useful tools in mathematical finance, decision analysis and economics. Motivated by statistical model selection, via the principle of expected utility maximization, Friedman and Sandow (J Mach Learn Res 4:257–291, 2003a) considered the model performance question from the point of view of an investor who evaluates models based on the performance of the optimal strategies that the models suggest. They interpreted their performance measures in information theoretic terms and provided new generalizations of (...) Shannon entropy and Kullback–Leibler relative entropy and called them U-entropy and U-relative entropy. In this article, a utility-based criterion for independence of two random variables is defined. Then, Markov’s inequality for probabilities is extended from the U-entropy viewpoint. Moreover, a lower bound for the U-relative entropy is obtained. Finally, a link between conditional U-entropy and conditional Renyi entropy is derived. (shrink)

Tematisk introduktion til Søren Kierkegaards (1813-1855) tankeverden udfra hovedværket "Begrebet Angest".

The question is discussed whether the description of the gravitational Doppler effect as a simple energy effect is consistent with its general-relativistic description as a metric-time effect. The difference between a local description and a global one is stressed. In the local description one is permitted to ignore metric effects. The global description yields a position-dependent rate of proper time in a gravitational field, and the energy, or the frequency, of a “freely falling” photon is described as a constant of (...) motion. An experiment of nonlocal character measuring, simultaneously, the gravitational Doppler effect and the position-dependent rate of proper time may be performed by the use of a geostationary satellite. A simple general-relativistic treatment of the satellite experiment is obtained by transforming the Schwarzschild metric to a rotating frame, and describing the motion of free particles and the rates of standard clocks in the resulting metric. (shrink)

Using the Weyl-type canonical coordinates, an integration of Einstein's field equations in the cylindrosymmetric case considered by Kurşunoğlu is reexamined. It is made clear that the resulting metric is not describing the spacetime in a rotating frame, but in astatic cylindrical elastic medium. The conclusion of Kurşunoğlu that “for an observer on a rotating disk there is no way of escape from a curved spacetime” is therefore not valid. The metric in an empty rotating frame is found as a solution (...) of Einstein's field equations, and is not orthogonal. It is shown that the corresponding orthogonal solution represents spacetime in an inertial frame expressed in cylindrical coordinates. Introducing a noncoordinate basis, the metric in a rotating frame is given the static form of Kurşunoğlu's solution. The essential role played by the nonvanishing structure coefficients in this case is made clear. (shrink)

It is shown how a consistent kinematic resolution of Ehrenfest's paradox may be given in accordance with the special theory of relativity. Some statements by T. E. Phipps, Jr., connected with these matters, are commented upon. Problems connected with the relation between stress and strain are solved by a manifestly covariant formulation of Hooke's law.

Stifters Narrenburg leistet eine Auseinandersetzung mit den Konsequenzen und Möglichkeiten des Historismus. Der Verlust von Tradition ruft widersprüchliche Reaktionen hervor: einerseits den Versuch, vermittels Restauration wieder am Vergangenen anzuknüpfen, andererseits die Faszination durch eine ästhetisierte und vergegenständlichte Geschichte.

The complex gestures of artwork remain an under-explored theoretical topos in contemporary visual culture studies. In our turbulent mediasphere where images are constantly mobilized to enact symbolic forms of warfare and where they get entangled in all kinds of cultural conflicts and controversies, a turn to the gestural life of images promises a particularly pertinent avenue of intellectual inquiry. As both a cultural phenomenon and a philosophical concept, the notion of gesture straddles several disciplines, such as anthropology, linguistics, performance, theater, (...) film and visual studies. In this volume, contributors ask: How may one speak not only of the gestures of the body but also of the gestures of the image? What constitutes gesturality in the image and, more broadly, what are the gestures of the aesthetic itself? By thinking about images within this conceptual framework, this volume seeks to renew our understanding of the image. (shrink)

The relation of the special and the general principle of relativity to the principle of covariance, the principle of equivalence and Mach's principle, is discussed. In particular, the connection between Lorentz covariance and the special principle of relativity is illustrated by giving Lorentz covariant formulations of laws that violate the special principle of relativity: Ohm's law and what we call “Aristotle's first and second laws.” An “Aristotelian” universe in which all motion is relative to “absolute space” is considered. The first (...) law: a free particle is at rest. The second law: force is proportional to velocity. Ohm's law: the current density is proportional to the electrical field strength. Neither of these laws fulfills the principle of relativity. The examples illustrate, in the context of Lorentz covariance and special relativity, Kretschmann's critique of founding Einstein's general principle of relativity on the principle of general covariance. A modification of the principle of covariance is suggested, which may serve as a restricted criterium for a physical law to satisfy Einstein's general principle of relativity. Other objections that have been raised to the validity of Einstein's general principle of relativity are based upon the preferred state of inertial frames in the general, as well as in the special theory, the existence of tidal effects in “true” gravitational fields, doubts as to the validity of Mach's principle, whether electromagnetic phenomena obey the principle, and, finally, the anisotropy of the cosmic background radiation. These objections are reviewed and discussed. (shrink)

A rotating disk with angular acceleration is given a relativistic description as observed from the rotating rest frameR of the disk. It is shown how a non-Euclidean intrinsic spatial geometry develops inR, as the disk gets an angular velocity. The explanation of this as given by anR-observer is discussed. A recent description of the geometry inR presented by Grünbaum and Janis is criticized. The motion of light as described by use of coordinate clocks inR is discussed in connection with some (...) recent work by R. C. Jennison and coworkers. The significance of the difference between directed signals and circular waves when clocks inR are to be synchronized by means of light emitted from the axis inR is made clear. (shrink)

If the title of this article resounds with the polemical palavering of literary theory in the 1940s, I have to submit that the allusion is not entirely accidental. It is not my intention here, however, to resuscitate the arguments of W. K. Wimsatt Jr and Monroe C. Beardsley, but rather to evoke a sense of parallelism between their issues and those at stake here. A crucial objective which informed Wimsatt's and Beardsley's project was to buttress the significance and irreducibility of (...) the literary text in the face of monopolistic authorial and receptional meaning-making. [3] The scholarly environment that was American New Criticism tended to consider intentionalism and emotionalism as threats to the epistemological prominence and integrity of the text, which was all too readily lost in a plenitude of contexts whose relevance for the literary work was not always impressively transparent. Similarly, within the domain of film studies, it has perhaps become increasingly unclear whether the real object of study is the film text itself, or rather a concatenation of different disciplinary discourses hailing from departments of psychology, sociology, and biology (to name a few). The colonization of cinema studies is not a novel development; as a process its apogee was in the 1970s. (shrink)

Map making and, ultimately, _map thinking_ is ubiquitous across literature, cosmology, mathematics, psychology, and genetics. We partition, summarize, organize, and clarify our world via spatialized representations. Our maps and, more generally, our representations seduce and persuade; they build and destroy. They are the ultimate record of empires and of our evolving comprehension of our world. This book is about the promises and perils of map thinking. Maps are purpose-driven abstractions, discarding detail to highlight only particular features of a territory. By (...) preserving certain features at the expense of others, they can be used to reinforce a privileged position. -/- _When Maps Become the World_ shows us how the scientific theories, models, and concepts we use to intervene in the world function as maps, and explores the consequences of this, both good and bad. We increasingly understand the world around us in terms of models, to the extent that we often take the models for reality. Winther explains how in time, our historical representations in science, in cartography, and in our stories about ourselves replace individual memories and become dominant social narratives—they become reality, and they can remake the world. -/- Available on The University of Chicago Press website, etc. (shrink)

Arne Grøn’s reading of Søren Kierkegaard’s authorship revolves around existential challenges of human identity. The 35 essays that constitute this book are written over three decades and are characterized by combining careful attention to the augmentative detail of Kierkegaard’s text with a constant focus on issues in contemporary philosophy. Contrary to many approaches to Kierkegaard’s authorship, Grøn does not read Kierkegaard in opposition to Hegel. The work of the Danish thinker is read as a critical development of Hegelian phenomenology with (...) particular attention to existential aspects of human experience. Anxiety and despair are the primary existential phenomena that Kierkegaard examines throughout his authorship, and Grøn uses these negative phenomena to argue for the basically ethical aim of Kierkegaard’s work. In Grøn’s reading, Kierkegaard conceives human selfhood not merely as relational, but also a process of becoming the self that one is through the otherness of self-experience, that is, the body, the world, other people, and God. This book should be of interest to philosophers, theologians, literary studies scholars, and anyone with an interest not only in Kierkegaard, but also in human identity. (shrink)

The aim of this article is two-folded. First, I wish to situate Baudelaire in the midst of 19th-century media, bring attention to the way he explored the new media of his day, and suggest that he developed his own media aesthetics. Second, I wish to examine Baudelaire’s relation to photography more specifically, emphasizing his love of commonplaces and clichés. I begin by contextualizing Baudelaire’s notorious attack on photography in the Salon de 1859 and then examine three poems in light of (...) the photographic culture of Baudelaire’s day. Central here is the experiment on the notion of identity that was carried out with the spread of portrait photography: the notation of a unique identity was undermined, processes of multiplication were explored, and the poetic discourse of the “soul” was radically changed. (shrink)

Gillian Russell has recently proposed counterexamples to such elementary argument forms as Conjunction Introduction and Identity. These purported counterexamples involve expressions that are sensitive to linguistic context—for example, a sentence which is true when it appears alone but false when embedded in a larger sentence. If they are genuine counterexamples, it looks as though logical nihilism—the view that there are no valid argument forms—might be true. In this paper, I argue that the purported counterexamples are not genuine, on the grounds (...) that they equivocate. Having defused the threat of logical nihilism, I argue that the kind of linguistic context sensitivity at work in Russell’s purported counterexamples, if taken seriously, far from leading to logical nihilism, reveals new, previously undreamt-of valid forms. By way of proof of concept I present a simple logic, Solo-Only Propositional Logic, designed to capture some of them. Along the way, some interesting subtleties about the fallacy of equivocation are revealed. (shrink)