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Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights
Most economists assume that the mathematical and quantative sides of their science are relatively recent developments. Measurement, Quantification and Economic Analysis shows that this is a misconception. Its authors argue that economists have long relied on measurement and quantification as essential tools. However, problems have arisen in adapting these tools from other fields. Ultimately, the authors are sceptical about the role which measurement and quantification tools now play in contemporary economic theory.
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The result of the European Summer Meeting of the Association for Symbolic Logic, this volume gives an overview of the latest developments in most of the major fields of logic being actively pursued today. Important new developments in the applications of logic in computer science are presented. Other areas examined include model theory, set theory, recursion theory, proof theory, and the history of logic.This volume contains the texts of ten of the invited lectures and six of the contributed papers.
Moore's work exhibits a profound recognition of the forces of heredity, gender, culture, and history while simultaneously declaring his belief in an autogenous self. In early novels like A Drama in Muslin and Esther Waters, there is a notable conflict between his postulation of the pure, instinctive individual and the emphasis upon the shaping power of heredity and economics inherent in the traditions of social realism that he adopts. In The Untilled Field, The Lake, and later works, Moore perfects a narrative technique that in highlighting the power of subjective memory, allows his characters to work out a new relation with the forces of history.
Addressing the role that the transportation sector plays in business cycle propagation, this title presents an index of the different indicators for this sector to identify its state, and predict its future, using various statistical procedures.
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