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Written in the tradition of G. Ludwig’s groundbreaking works, this book aims to clarify and formulate more precisely the fundamental ideas of physical theories. By introducing a basic descriptive language of simple form, in which it is possible to formulate recorded facts, ambiguities of physical theories are avoided as much as possible. In this approach the field of physics that should be described by a theory is determined by basic concepts only, i.e. concepts that can be explained without a theory. In this context the authors introduce a new concept of idealization and review the process of discovering new concepts. They believe that, when the theories are formulated within an axiomatic basis, solutions can be found to many difficult problems such as the interpretation of physical theories, the relations between theories as well as the introduction of physical concepts. The book addresses both physicists and philosophers of science and should encourage the reader to contribute to the understanding of the lasting core of physical knowledge about the real structures of the world.
This book presents a new economic theory developed from physical and biological principles. It explains how technology, social systems and economic values are intimately related to resources. Many people have recognized that mainstream (neoclassical) economic theories are not consistent with physical laws and often not consistent with empirical patterns, but most feel that economic activities are too complex to be described by a simple and coherent mathematical theory. While social systems are indeed complex, all life systems, including social systems, satisfy two principles. First, all systems need to extract resources from the external environment to compensate for their consumption. Second, for a system to be viable, the amount of resource extraction has to be no less than the level of consumption. From these two principles, we derive a quantitative theory of major factors in economic activities, such as fixed cost, variable cost, discount rate, uncertainty and duration. The mathematical theory enables us to systematically measure the effectiveness of different policies and institutional structures at varying levels of resource abundance and cost.The theory presented in this book shows that there do not exist universally optimal policies or institutional structures. Instead, the impacts of different policies or social structures have to be measured within the context of existing levels of resource abundance. As the physical costs of extracting resources rise steadily, many policy assumptions adopted in mainstream economic theories, and workable in times of cheap and abundant energy supplies and other resources, need to be reconsidered. In this rapidly changing world, the theory presented here provides a solid foundation for examining the long-term impacts of today's policy decisions.
All human activities, including mental activities, are governed by physical laws and are essentially thermodynamic processes. However, current economic theories are not established on these foundations. This pioneering book seeks to develop an analytical theory of economics on the foundation of thermodynamic laws. A unified understanding of economic and social phenomena is presented, an understanding that is much simpler than what mainstream economic theory has to offer. Its aim is to revolutionize thinking in economics and transform social sciences into an integral part of the physical and biological sciences.
This book, explores the conceptual foundations of Einstein's theory of relativity: the fascinating, yet tangled, web of philosophical, mathematical, and physical ideas that is the source of the theory's enduring philosophical interest. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
This book presents a framework for resolving some of the crucial paradoxes that trouble thoughtful physicists and philosophers of science. Central to the work is a symbolic object-language (originated by the author) comparable to such other object-languages as computer programs, engineering flow-charts & chemical formulas. It differs from them, however, in being vigorously derived from one of the simplest & least controvertible of ideas: the otherness of any two entities, even identical ones (if two, then one & another, otherwise, just one). It therefore admits only those representations, expressed in the symbolism, that are strictly compatible with the idea -- unlike computer programs, which can represent any concept, however absurd or physically impossible. The author employs his symbolism to construct models of physical processes. He shows how these models make it possible to resolve the paradoxes at the heart of contemporary physics, including particularly those implicit in the recent definitive demonstration of the violation of "Bell's Inequality." Among these implications is that past events can be influenced by present acts of observation. This radical departure from traditional conceptions of causality has caused a crisis in physics. With that crisis, this book is basically concerned.
Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. Tim Maudlin proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. He begins with a brief historicalreview of the development of mathematics as it relates to geometry and an overview of standard topology, and goes on to develop his original Theory of Linear Structures.
Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. Tim Maudlin proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. He begins with a brief historicalreview of the development of mathematics as it relates to geometry and an overview of standard topology, and goes on to develop his original Theory of Linear Structures.

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