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)
This paper is concerned with two theories of history—those of Hegel and of Marx. Its primary aim is to clarify. The writings of Hegel are notoriously obscure, and those of Marx have been variously interpreted, so there is room for a paper which tries to ensure that when the theories of history propounded by Marx and Hegel are criticized, what are criticized are views which they actually held. It is no part of this paper's thesis that, in his theory of (...) history, Marx consciously borrowed from Hegel. But it will be argued that there is more of Hegel in Marx than is sometimes supposed, and that if this fact is ignored one seriously distorts Marx. (shrink)
The concept of freedom is one which Hegel thought of very great importance; indeed, he believed that it is the central concept in human history. ‘Mind is free’, he wrote, ‘and to actualise this, its essence – to achieve this excellence – is the endeavour of the worldmind in world-history’ . Those who already have an interest in Hegel will doubtless be interested in his views on a topic which he thought so important; on the other hand, the many philosophers (...) who are either indifferent to or hostile to Hegel may point out that it does not follow that, because the subject of freedom interested Hegel, his views about this subject are of general interest. It will be the aim of this paper to show that they are of general interest; in the meantime, it may be recalled that Isaiah Berlin has argued that Hegel's concept of freedom is one of a type, called by him the concept of positive freedom, which is ‘at the heart of many of the nationalist, communist, authoritarian and totalitarian creeds of our day’. It will surely be worth while to see to what extent this is true of Hegel, and to what extent Hegel's views about freedom are true. (shrink)
There have been many readings of Mead's work, and this paper proposes yet another: Mead, theorist of the social act. It is argued that Mead's core theory of the social act has been neglected, and that without this theory, the concept of taking the attitude of the other is inexplicable and the contemporary relevance of the concept of the significant symbol is obfuscated. The paper traces the development of the social act out of Dewey's theory of the act. According to (...) Mead, Dewey's theory does not sufficiently account for consciousness. Grappling with this problematic leads Mead to several key ideas, which culminate in his theory of the social act. The social act and taking the attitude of the other are then illustrated by the analysis of a game of football. The interpretation presented has two novel aspects: first, symbolisation arises not simply through self taking the attitude of the other, but through the pairing of this attitude with the complementary attitude in self; second, self is able to take the attitude of the other to the extent that self has in actuality or in imagination previously been in the social position of the other. From this standpoint the key issue is how the attitude of self and other become integrated. New directions for empirical research, aimed at advancing this question are outlined. Finally, the paper shows how the social act can contribute to our contemporary concerns about the nature of the symbolic. (shrink)
_Zettel, _ an en face bilingual edition, collects fragments from Wittgenstein's work between 1929 and 1948 on issues of the mind, mathematics, and language.
In "Realism and Reason" Hilary Putnam has offered an apparently strong argument that the position of metaphysical realism provides an incoherent model of the relation of a correct scientific theory to the world. However, although Putnam's attack upon the notion of the "intended" interpretation of a scientific theory is sound, it is shown here that realism may be formulated in such a way that the realist need make no appeal to any "intended" interpretation of such a theory. Consequently, it can (...) be shown that realism is immune to Putnam's criticism and that attempts at reformulating this criticism are not likely to meet with success. (shrink)
I Two Traditions. Scientific inquiry, seen in a very broad perspective, may be said to present two main aspects. One is the ascertaining and discovery of ...
This book introduces social scientists to the ideas of George Herbert Mead - one of the most original yet neglected thinkers of early twentieth century sociology. Mead is an exceptional case amongst sociological classics in that, until now, there has been no comprehensive reader of his work. As the first one-volume, comprehensive edited collection of Meadâes published and unpublished writing, this book fills this gap. It is the first to critically assess all of Mead's writings and draw out the aspects (...) that are central to his system of thought. The book is divided into three parts, comprising a total of 30 chapters - a third of which are published here for the first time. G.H. Mead: A Reader provides a unique and timely contribution to the understanding of this key theorist. It is essential reading for both undergraduate and postgraduate students in the fields of sociology, social psychology, philosophy of social science, social and cultural anthropology, and social and political theory. (shrink)