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Beyond First Order Model Theory Volume I and II

Beyond First Order Model Theory Volume I and II

Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s it rapidly became one of the central most active branches of mathematical logic. In the last few decades ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics including algebra combinatorics geometry number theory and Banach space theory and operator theory. The two volumes of Beyond First Order Model Theory present the reader with a fairly comprehensive vista rich in width and depth of some of the most active areas of contemporary research in model theory beyond the realm of the classical first-order viewpoint. Each chapter is intended to serve both as an introduction to a current direction in model theory and as a presentation of results that are not available elsewhere. All the articles are written so that they can be studied independently of one another. The first volume is an introduction to current trends in model theory and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers. This second volume contains introductions to real-valued logic and applications abstract elementary classes and applications interconnections between model theory and function spaces nonstucture theory and model theory of second-order logic. Features A coherent introduction to current trends in model theory. Contains articles by some of the most influential logicians of the last hundred years. No other publication brings these distinguished authors together. Suitable as a reference for advanced undergraduate postgraduates and researchers. Material presented in the book (e. g abstract elementary classes first-order logics with dependent sorts and applications of infinitary logics in set theory) is not easily accessible in the current literature. The various chapters in the book can be studied independently. | Beyond First Order Model Theory Volume I and II

GBP 230.00
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The Secret Order 4: Beyond Time Steam CD Key

Beyond Liberalism

Beyond Liberalism

In Beyond Nihilism Michael Polanyi argued that a merely negative liberty of doing as one pleases so long as one does not impinge upon the equal liberty of others - must and has led to destructive nihilism and a fierce reaction to collectivism. R. T. Allen takes up this argument in Beyond Liberalism and shows how Polanyi's political philosophy evolved into a more positive and distinctly conservative concept of liberty converging upon the archetypal conservatism of Edmund Burke. Allen examines Polanyi's and F. A. Hayek's thinking with respect to the nature value and foundations of liberty. Negative and positive liberties are two sides of one liberty and Allen believes negative conceptions of liberty are as dangerous as positive ones. He distinguishes among general and abstract definitions of liberty and shows how all including that of Hayek ultimately dissolve. According to Allen only tacit conceptions of liberty such as those of Burke and Polanyi prove viable. This is because they rest on concrete tradition. Allen examines how the skeptical rationalist and utilitarian philosophies of Ludwig von Mises and Sir Karl Popper fail to support the value of liberty and even proved to be destructive of it. Allen argues that society cannot rely upon the classically liberal notion of contract but rather upon prescriptive and inherited obligations. In turn this means that citizens have positive as well as negative duties to each other and the body politic of which they are part and upon whose support liberty depends. A free society is held together by emotional bonds and the traditions and rituals that sustain them. A free society also presupposes that the individual has inherent value in and for himself. For R. T. Allen only Christianity and certainly no modern philosophy has a conception of the unique individual and his irreplaceable value and of a political order that transcends itself into the moral order. Even Polanyi's liberty is ultimately insufficient for it gives no inherent value to the person himself but instead to the ideals which he serves. Beyond Liberalism challenges deeply ingrained notions of liberty and its meaning in modern society. It is a call for traditions of self-restraint and justice for their own sakes. This noteworthy volume is an essential addition to the libraries of political scientists philosophers and theologians alike.

GBP 42.99
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