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Logical Foundation Of Theoretical Physics
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Book Synopsis Logical Foundation of Theoretical Physics by : Gunn Alex Quznetsov
Download or read book Logical Foundation of Theoretical Physics written by Gunn Alex Quznetsov and published by Nova Publishers. This book was released on 2006 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the principal properties of spatial-temporal relations are deduced from logical characteristics of information. The objective probability function is obtained from the classical propositional logic by a generalisation of Boolean functions. Fundamental principles of quantum theory are obtained as a result of expressing of event probabilities by spinors.
Book Synopsis Foundations of Quantum Theory by : Klaas Landsman
Download or read book Foundations of Quantum Theory written by Klaas Landsman and published by . This book was released on 2020-10-09 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
Book Synopsis Foundations of Physics by : Mario Bunge
Download or read book Foundations of Physics written by Mario Bunge and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is not an introduction to physics but an analysis of its founda tions. Indeed, the aims of this book are: (1) to analyze the form and content of some of the key ideas of physics; (2) to formulate several basic physical theories in an explicit and orderly (i. e. , axiomatic) fashion; (3) to exhibit their presuppositions and discuss some of their philosoph ical implications; (4) to discuss some of the controversial issues, and (5) to debunk certain dusty philosophical tenets that obscure the under standing of physics and hinder its progress. To the extent to which these goals are attained, the volume can serve as a companion to studies in theoretical physics aiming at deepening the understanding of the logical structure and the physical meaning of our science. In order to keep the book slender, whole fields of basic physical research had to be excluded - chiefly many-body physics, quantum field theories, and elementary particle theories. A large coverage was believed to be less important than a comparatively detailed analysis and reconstruction of three representative monuments: classical mechan ics, general relativity, and quantum mechanics, as well as their usually unrecognized presuppositions. The reader is invited to join the project and supply some of the many missing chapters - or to rewrite the present ones entirely.
Book Synopsis Logical Foundation of Fundamental Theoretical Physics by : Gunn Quznetsov
Download or read book Logical Foundation of Fundamental Theoretical Physics written by Gunn Quznetsov and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... an elementary physical particle represents an ensemble of dot events associated probabilities. And charge, mass, energy, momentum, spins, etc. represent parameters of distribution of these probabilities.... the fundamental essence of nature are not particles and fields, but dot events and connecting them probability... the fundamental theoretical physics is one among of extensions of classical propositional logic...
Book Synopsis Information Theory and Quantum Physics by : Herbert S. Green
Download or read book Information Theory and Quantum Physics written by Herbert S. Green and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.
Book Synopsis The Logical Foundations of Scientific Theories by : Decio Krause
Download or read book The Logical Foundations of Scientific Theories written by Decio Krause and published by Routledge. This book was released on 2016-07-15 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.
Download or read book On Theories written by William Demopoulos and published by Harvard University Press. This book was released on 2021-12-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renowned philosopherÕs final work, illuminating how the logical empiricist tradition has failed to appreciate the role of actual experiments in forming its philosophy of science. The logical empiricist treatment of physics dominated twentieth-century philosophy of science. But the logical empiricist tradition, for all it accomplished, does not do justice to the way in which empirical evidence functions in modern physics. In his final work, the late philosopher of science William Demopoulos contends that philosophers have failed to provide an adequate epistemology of science because they have failed to appreciate the tightly woven character of theory and evidence. As a consequence, theory comes apart from evidence. This trouble is nowhere more evident than in theorizing about particle and quantum physics. Arguing that we must consider actual experiments as they have unfolded across history, Demopoulos provides a new epistemology of theories and evidence, albeit one that stands on the shoulders of giants. On Theories finds clarity in Isaac NewtonÕs suspicion of mere Òhypotheses.Ó NewtonÕs methodology lies in the background of Jean PerrinÕs experimental investigations of molecular reality and of the subatomic investigations of J. J. Thomson and Robert Millikan. Demopoulos extends this account to offer novel insights into the distinctive nature of quantum reality, where a logico-mathematical reconstruction of Bohrian complementarity meets John Stewart BellÕs empirical analysis of EinsteinÕs Òlocal realism.Ó On Theories ultimately provides a new interpretation of quantum probabilities as themselves objectively representing empirical reality.
Book Synopsis Foundations of Quantum Theory by : Klaas Landsman
Download or read book Foundations of Quantum Theory written by Klaas Landsman and published by Springer. This book was released on 2017-05-11 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence.
Book Synopsis John von Neumann and the Foundations of Quantum Physics by : Miklós Rédei
Download or read book John von Neumann and the Foundations of Quantum Physics written by Miklós Rédei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory. And finally - as one of his last lectures, published in this volume for the first time, shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the twentieth century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off by previously unpublished letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 Mathematical Foundations of Quantum Mechanics. The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.
Book Synopsis Contemporary Research in the Foundations and Philosophy of Quantum Theory by : C.A. Hooker
Download or read book Contemporary Research in the Foundations and Philosophy of Quantum Theory written by C.A. Hooker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: To mathematicians, mathematics is a happy game, to scientists a mere tool and to philosophers a Platonic mystery - or so the caricature runs. The caricature reflects the alleged 'cultural gap' between the disciplines a gap for which there too often has been, sadly, sound historical evidence. In many minds the lack of communication between philosophy and the exact disciplines is especially prominent. Yet in the past there was no separation - exact knowledge, covering both scientists and mathemati cians, was known as natural philosophy and the business of providing a critical view of the nature of reality and an accurate mathematical de scription of it constituted a single task from the glorious tradition begun by the early Greek philosophers even up until Newton's day (but I am thinking of Descartes and Leibniz I). The lack of communication between these professional groups has been particularly unfortunate, for the past half century has seen the most ex citing developments in mathematical physics since Newton. These devel opments hinged on the introduction of vast new reaches of mathematics into physics (non-Euclidean geometries, covariant formulations, non commutative algebras, functional analysis and so on) and conversely have challenged mathematicians to develop the appropriate mathematical fields. Equally, these developments have posed profound philosophical problems to do with the rejection of traditional conceptions concerning the nature of physical reality and physical theorising.
Book Synopsis Topics In Modern Physics: Theoretical Foundations by : John Dirk Walecka
Download or read book Topics In Modern Physics: Theoretical Foundations written by John Dirk Walecka and published by World Scientific Publishing Company. This book was released on 2013-01-21 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schrödinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.
Book Synopsis Problems in the Foundations of Physics by : Mario Bunge
Download or read book Problems in the Foundations of Physics written by Mario Bunge and published by Berlin : Springer-Verlag. This book was released on 1971 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Science by : Norman Robert Campbell
Download or read book Foundations of Science written by Norman Robert Campbell and published by . This book was released on 1957 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bridge between semipopular works for the general reader has technical treatises written for specialists, this excellent work discusses the foundation ideas and background of modern physics. It is not a text on theoretical physics, but a discussion of the methods of physical description and construction of theory. It is especially valuable for a physicist with a background in elementary calculus who is interested in the ideas which give meaning to the data and tools of modern physics.
Book Synopsis Physics, Logic, and History by : Wolfgang Yourgrau
Download or read book Physics, Logic, and History written by Wolfgang Yourgrau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a trite and often lamented fact that every academic discipline suffers from the malady of overspecialization and expertise. Who, in his scholarly experience, has not encountered technical gibberish and the jargon of the pundit? The contributors to this work have aUempted to remove the artifi cial barriers between these respective disciplines. The purpose of this volume is to explore the ever present links between logic, physical reality, and history. Indeed there are not two or three or four cuItures: there is only one culture; our generation has lost its awareness of this. Though serious, it is not tragic. All we need is to free ourselves from the fetters of mere "technicalese" and search for a comprehensive interpretation of logical and physical theories. His'torians, logicians, physicists - all are banded in one common enterprise, namely in their desire to weave an enlightened fabric of human knowledge. It is a current, and perhaps weJcome, trend in philosophie inquiry to de-psychologize systems, methods, and theories. However, there is an equally fashionable tendency to minimize or even eschew the historical aspects of logical and physical theories, and analogously, there is a deep seated mistrust among physicists and cosmologists against the seemingly pure abstractions of logical formalisms.
Download or read book Matrix Logic and Mind written by A. Stern and published by Elsevier. This book was released on 1992-02-12 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this revolutionary work, the author sets the stage for the science ofthe 21st Century, pursuing an unprecedented synthesis of fields previouslyconsidered unrelated. Beginning with simple classical concepts, he endswith a complex multidisciplinary theory requiring a high level ofabstraction. The work progresses across the sciences in severalmultidisciplinary directions: Mathematical logic, fundamental physics,computer science and the theory of intelligence. Extraordinarily enough,the author breaks new ground in all these fields. In the field offundamental physics the author reaches the revolutionary conclusion thatphysics can be viewed and studied as logic in a fundamental sense, ascompared with Einstein's view of physics as space-time geometry. This opensnew, exciting prospects for the study of fundamental interactions. Aformulation of logic in terms of matrix operators and logic vector spacesallows the author to tackle for the first time the intractable problem ofcognition in a scientific manner. In the same way as the findings ofHeisenberg and Dirac in the 1930s provided a conceptual and mathematicalfoundation for quantum physics, matrix operator logic supports an importantbreakthrough in the study of the physics of the mind, which is interpretedas a fractal of quantum mechanics. Introducing a concept of logic quantumnumbers, the author concludes that the problem of logic and theintelligence code in general can be effectively formulated as eigenvalueproblems similar to those of theoretical physics. With this important leapforward in the study of the mechanism of mind, the author concludes thatthe latter cannot be fully understood either within classical or quantumnotions. A higher-order covariant theory is required to accommodate thefundamental effect of high-level intelligence. The landmark resultsobtained by the author will have implications and repercussions for thevery foundations of science as a whole. Moreover, Stern's Matrix Logic issuitable for a broad spectrum of practical applications in contemporarytechnologies.
Book Synopsis The Logico-Algebraic Approach to Quantum Mechanics by : C.A. Hooker
Download or read book The Logico-Algebraic Approach to Quantum Mechanics written by C.A. Hooker and published by Springer. This book was released on 1979-05-31 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed a striking transformation in the understanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi tional opinion that one should look to the specific applications of a theory in orrter to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that structure, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical manoeuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrodinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation, the elementary theory moved, flanked even at this later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic alternative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical structures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manipulation of purely abstract structures.
Book Synopsis Mathematical Foundations of Quantum Theory by : A.R. Marlow
Download or read book Mathematical Foundations of Quantum Theory written by A.R. Marlow and published by Elsevier. This book was released on 2012-12-02 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Quantum Theory is a collection of papers presented at the 1977 conference on the Mathematical Foundations of Quantum Theory, held in New Orleans. The contributors present their topics from a wide variety of backgrounds and specialization, but all shared a common interest in answering quantum issues. Organized into 20 chapters, this book's opening chapters establish a sound mathematical basis for quantum theory and a mode of observation in the double slit experiment. This book then describes the Lorentz particle system and other mathematical structures with which fundamental quantum theory must deal, and then some unsolved problems in the quantum logic approach to the foundations of quantum mechanics are considered. Considerable chapters cover topics on manuals and logics for quantum mechanics. This book also examines the problems in quantum logic, and then presents examples of their interpretation and relevance to nonclassical logic and statistics. The accommodation of conventional Fermi-Dirac and Bose-Einstein statistics in quantum mechanics or quantum field theory is illustrated. The final chapters of the book present a system of axioms for nonrelativistic quantum mechanics, with particular emphasis on the role of density operators as states. Specific connections of this theory with other formulations of quantum theory are also considered. These chapters also deal with the determination of the state of an elementary quantum mechanical system by the associated position and momentum distribution. This book is of value to physicists, mathematicians, and researchers who are interested in quantum theory.
