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Author : Clifford Alan Hooker
Publisher :
ISBN 13 : 9789400997707
Total Pages : 334 pages
Book Rating : 4.9/5 (977 download)
Download or read book Physical Theory as Logico-operational Structure written by Clifford Alan Hooker and published by . This book was released on 1978-12-31 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.A. Hooker
Publisher : Springer Science & Business Media
ISBN 13 : 9400997698
Total Pages : 348 pages
Book Rating : 4.4/5 (9 download)
Download or read book Physical Theory as Logico-Operational Structure written by C.A. Hooker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two earlier volumes, entitled The Logico-Algebraic Approach to Quan tum Mechanics (hereafter LAA I, II), I have presented collections of research papers which trace out the historical development and contem porary flowering of a particular approach to physical theory. One might characterise this approach as the extraction of an abstract logico-algebraic skeleton from each physical theory and the reconstruction of the physical theory as construction of mathematical and interpretive 'flesh' (e. g. , measures, operators, mappings etc. ) on this skeleton. The idea is to show how the specific features of a theory that are easily seen in application (e. g. , 'interference' among observables in quantum mechanics) arise out of the character of its core abstract structure. In this fashion both the deeper nature of a theory (e. g. , in what precise sense quantum mechanics is strongly statistical) and the deeper differences between theories (e. g. clas sical mechanics, though also a 'mechanics', is not strongly statistical) are penetratingly illuminated. What I would describe as the 'mainstream' logico-algebraic tradition is captured in these two collections of papers (LAA I, II). The abstract, structural approach to the characterisation of physical theory has been the basis of a striking transformation, in this century, in the understanding of theories in mathematical physics. There has emerged clearly the idea that physical theories are most significantly characterised by their abstract structural components.
Author : C.A. Hooker
Publisher : Springer Science & Business Media
ISBN 13 : 9789027707079
Total Pages : 498 pages
Book Rating : 4.7/5 (7 download)
Download or read book The Logico-Algebraic Approach to Quantum Mechanics written by C.A. Hooker and published by Springer Science & Business Media. This book was released on 1979-05-31 with total page 498 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.
Author : Enrico G. Beltrametti
Publisher : Springer Science & Business Media
ISBN 13 : 1461332281
Total Pages : 478 pages
Book Rating : 4.4/5 (613 download)
Download or read book Current Issues in Quantum Logic written by Enrico G. Beltrametti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: These are the proceedings of the Workshop on Quantum Logic held in Erice (Sicily), December 2 - 9, 1979, at the Ettore Hajorana Centre for Scientific Culture. A conference of this sort was originally proposed by Giuliano Toraldo di Francia, who suggested the idea to Antonino Zichichi, and thus laid the foundation for the Workshop. To both of them we express our appreciation and thanks, also on behalf of the other participants, for having made this conference possible. There were approximately fifty participants; their names and institutions are listed in the text. Quantum logic, which has now a history of some forty or more years, has seen remarkable growth during the sixties and seventies. The papers in the present volume presuppose, by and large, some acquaintance with the elements of the subject. These may be found in the well-known books by J.H. Jauch (Foundations of Quantum Hechanics; Reading, 1968), V.S. Varadarajan (Geometry of Quantum Theory: Princeton, 1968), and C. Piron (Foundations of Quantum Theory; New York, 1976). The initial program for the conference listed about twenty-five invited papers. But in the context of a very active and qualified attendance, other contributions were offered. This volume contains all of them. The program listed six main topics: I. Classification or different areas of quantum logic, and open problems. II. Comparison and unification of different approaches to quantum theories; problems of interpretation. III. Formal quantum logic; axiomatics. IV. Hodal interpretations of quantum logic. v vi FOREWORD V. Quantum set theory.
Author :
Publisher :
ISBN 13 : 9814472158
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Physics of Emergence and Organization written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bob Coecke
Publisher : Springer Science & Business Media
ISBN 13 : 9401712018
Total Pages : 329 pages
Book Rating : 4.4/5 (17 download)
Download or read book Current Research in Operational Quantum Logic written by Bob Coecke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic.
Author : Diederik Aerts
Publisher : World Scientific
ISBN 13 : 9814489409
Total Pages : 400 pages
Book Rating : 4.8/5 (144 download)
Download or read book Probing the Structure of Quantum Mechanics written by Diederik Aerts and published by World Scientific. This book was released on 2002-06-11 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fundamental nature that touch the foundation of quantum theory itself (for example, the contradiction between locality and nonlinearity and the interpretation of quantum computing as a universal process). In this book, one can distinguish two main streams of research to approach the just-mentioned problem field: (1) a theoretical structural part, which concentrates on the elaboration of a nonlinear quantum mechanics and the fundamentals of quantum computation; and (2) a theoretical experimental part, which focuses on the theoretical aspects of applications that arise from new technology and novel research perspectives such as quantum optics and quantum cryptography. Particular attention is also paid to the measurement problem, the classical limit and alternative interpretations (such as the hidden measurement approach). Contents:Probing the Structure of Quantum Mechanics (D Aerts et al.)The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities (D Aerts & F Valckenborgh)Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities (D Aerts & F Valckenborgh)Being and Change: Foundations of a Realistic Operational Formalism (D Aerts)The Classical Limit of the Lattice-Theoretical Orthocomplementation in the Framework of the Hidden-Measurement Approach (T Durt & B D'Hooghe)State Property Systems and Closure Spaces: Extracting the Classical en Non-Classical Parts (D Aerts & D Deses)Hidden Measurements from Contextual Axiomatics (S Aerts)High Energy Approaches to Low Energy Phenomena in Astrophysics (S M Austin)Memory Effects in Atomic Interferometry: A Negative Result (T Durt et al.)Reality and Probability: Introducing a New Type of Probability Calculus (D Aerts)Quantum Computation: Towards the Construction of a ‘Between Quantum and Classical Computer’ (D Aerts & B D'Hooghe)Buckley-Siler Connectives for Quantum Logics of Fuzzy Sets (J Pykacz & B D'Hooghe)Some Notes on Aerts' Interpretation of the EPR-Paradox and the Violation of Bell-Inequalities (W Christiaens)Quantum Cryptographic Encryption in Three Complementary Bases Through a Mach-Zehnder Set Up (T Durt & B Nagler)Quantum Cryptography Without Quantum Uncertainties (T Durt)How to Construct Darboux-Invariant Equations of von Neumann Type (J L Cie(li(ski)Darboux-Integrable Equations with Non-Abelian Nonlinearities (N V Ustinov & M Czachor)Dressing Chain Equations Associated with Difference Soliton Systems (S Leble)Covariance Approach to the Free Photon Field (M Kuna & J Naudts) Readership: Graduate students, researchers and academics in quantum physics. Keywords:Quantum Mechanics;Quantum Computation;Quantum Information Processing
Author : A. Blaquiere
Publisher : Springer
ISBN 13 : 3709129710
Total Pages : 356 pages
Book Rating : 4.7/5 (91 download)
Download or read book Information Complexity and Control in Quantum Physics written by A. Blaquiere and published by Springer. This book was released on 2014-05-04 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter E. Hodgson
Publisher : Routledge
ISBN 13 : 1351879944
Total Pages : 298 pages
Book Rating : 4.3/5 (518 download)
Download or read book Theology and Modern Physics written by Peter E. Hodgson and published by Routledge. This book was released on 2017-09-08 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new discoveries in physics during the twentieth century have stimulated intense debate about their relevance to age-old theological questions. Views range from those holding that modern physics provides a surer road to God than traditional religions, to those who say that physics and theology are incommensurable and so do not relate. At the very least, physics has stimulated renewed theological discussions. In this critical introduction to the science-theology debate, Peter E. Hodgson draws on his experience as a physicist to present the results of modern physics and the theological implications. Written for those with little or no scientific background, Hodgson describes connections between physics, philosophy and theology and then explains Newtonian physics and Victorian physics, the theories of relativity, astronomy and quantum mechanics, and distinguishes the actual results of modern physics from speculations. The connections with theology are explored throughout. The concluding section draws discussions together and makes an important new contribution to the debate.
Author : Metod Saniga
Publisher : World Scientific
ISBN 13 : 9814479292
Total Pages : 632 pages
Book Rating : 4.8/5 (144 download)
Download or read book Endophysics, Time, Quantum And The Subjective - Proceedings Of The Zif Interdisciplinary Research Workshop (With Cd-rom) written by Metod Saniga and published by World Scientific. This book was released on 2005-10-03 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Endophysics, Time, Quantum and the Subjective is the first systematic cross- and trans-disciplinary appraisal of the endophysical paradigm and its possible role in our understanding of Nature. Focusing on three of the most pressing issues of contemporary science, the interpretation of quantum theory, the nature of time, and the problem of consciousness, it provides the reader with some forefront research, concepts and ideas in these areas, such as incessant Big Bang, geometrizing of “mental space-times,” and a contextual view of quantum mechanics and/or a view of the Universe as a self-evolving quantum automaton. Although primarily aimed at academics this engaging volume can be read by anyone interested in modern physics, philosophy, psychology and cognitive sciences.
Author : Bas C. van Fraassen
Publisher : Clarendon Press
ISBN 13 : 0191520047
Total Pages : 558 pages
Book Rating : 4.1/5 (915 download)
Download or read book Quantum Mechanics written by Bas C. van Fraassen and published by Clarendon Press. This book was released on 1991-09-26 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: After introducing the empiricist point of view in philosophy of science, and the concepts and methods of the semantic approach to scientific theories, Professor van Fraassen discusses quantum theory in three stages. He first examines the question of whether and how empirical phenomena require a non-classical theory, and what sort of theory they require. He then discusses the mathematical foundations of quantum theory with special reference to developments in the modelling of interaction, composite systems, and measurement. Finally, the author broaches the main questions of interpretation. After offering a critique of earlier interpretations, he develops a new one - the modal interpretation - which attempts to stay close to the original Copenhagen ideas without implying a radical incompleteness in quantum theory. He gives special attention to the character of composite, many-body systems and especially to the peculiar character of assemblies of identical particles in quantum statistics.
Author : David W. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 1461388414
Total Pages : 159 pages
Book Rating : 4.4/5 (613 download)
Download or read book An Introduction to Hilbert Space and Quantum Logic written by David W. Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.
Author : Elena Castellani
Publisher : Princeton University Press
ISBN 13 : 0691222045
Total Pages : 344 pages
Book Rating : 4.6/5 (912 download)
Download or read book Interpreting Bodies written by Elena Castellani and published by Princeton University Press. This book was released on 2020-12-08 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bewildering features of modern physics, such as relativistic space-time structure and the peculiarities of so-called quantum statistics, challenge traditional ways of conceiving of objects in space and time. Interpreting Bodies brings together essays by leading philosophers and scientists to provide a unique overview of the implications of such physical theories for questions about the nature of objects. The collection combines classic articles by Max Born, Werner Heisenberg, Hans Reichenbach, and Erwin Schrodinger with recent contributions, including several papers that have never before been published. The book focuses on the microphysical objects that are at the heart of quantum physics and addresses issues central to both the "foundational" and the philosophical debates about objects. Contributors explore three subjects in particular: how to identify a physical object as an individual, the notion of invariance with respect to determining what objects are or could be, and how to relate objective and measurable properties to a physical entity. The papers cover traditional philosophical topics, common-sense questions, and technical matters in a consistently clear and rigorous fashion, illuminating some of the most perplexing problems in modern physics and the philosophy of science. The contributors are Diederik Aerts, Max Born, Elena Castellani, Maria Luisa Dalla Chiara, Bas C. van Fraassen, Steven French, Gian Carlo Ghirardi, Roberto Giuntini, Werner Heisenberg, Decio Krause, David Lewis, Tim Maudlin, Peter Mittelstaedt, Giulio Peruzzi, Hans Reichenbach, Erwin Schrodinger, Paul Teller, and Giuliano Toraldo di Francia.
Author : Lorenzo Magnani
Publisher : Springer Science & Business Media
ISBN 13 : 9780792369332
Total Pages : 284 pages
Book Rating : 4.3/5 (693 download)
Download or read book Philosophy and Geometry written by Lorenzo Magnani and published by Springer Science & Business Media. This book was released on 2001-05-31 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--Jacket.
Author : P. Parrini
Publisher : Springer Science & Business Media
ISBN 13 : 9401590400
Total Pages : 222 pages
Book Rating : 4.4/5 (15 download)
Download or read book Knowledge and Reality written by P. Parrini and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: XIV The stability of a philosophical construction will depend not only upon the solidity of the blocks, of the pillars and architraves that make it up, but also upon the way in which all these parts are connected. Of course, it will not be possible to argue for every single part of a philosophical building: to do so would mean to embark in a virtually endless enterprise. Accordingly, some of the parts of a philosophical building will have to be taken from the literature on the subject as 'ready made' or 'semi-finished' elements, while others will be argued for in the course of building. This is what happened in my work too. In some cases (for in stance, in the case of epistemic relativism), my concern was to illustrate theses which I believed to be sufficiently consolidated, rather than to ar gue for them. In other cases - where I was directly engaged in building the theory that I want to fonnulate - I did exactly the opposite. This is what I have tried to achieve, for example, for those proper architraves of my construction, viz. the connection between scepticism and metaphysi cal realism. and the thesis of the nonnative value of the fundamental epistemological notions (truth, objectivity, and rationality).
Author : P. Theerman
Publisher : Springer Science & Business Media
ISBN 13 : 9780792344773
Total Pages : 336 pages
Book Rating : 4.3/5 (447 download)
Download or read book Experiencing Nature written by P. Theerman and published by Springer Science & Business Media. This book was released on 1997-04-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, honoring the renowned historian of science, Allen G Debus, explores ideas of science - `experiences of nature' - from within a historiographical tradition that Debus has done much to define. As his work shows, the sciences do not develop exclusively as a result of a progressive and inexorable logic of discovery. A wide variety of extra-scientific factors, deriving from changing intellectual contexts and differing social millieus, play crucial roles in the overall development of scientific thought. These essays represent case studies in a broad range of scientific settings - from sixteenth-century astronomy and medicine, through nineteenth-century biology and mathematics, to the social sciences in the twentieth-century - that show the impact of both social settings and the cross-fertilization of ideas on the formation of science. Aimed at a general audience interested in the history of science, this book closes with Debus's personal perspective on the development of the field. Audience: This book will appeal especially to historians of science, of chemistry, and of medicine.
Author : W. Spohn
Publisher : Springer Science & Business Media
ISBN 13 : 9401132445
Total Pages : 247 pages
Book Rating : 4.4/5 (11 download)
Download or read book Existence and Explanation written by W. Spohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays is dedicated to 'Joe' Karel Lambert. The contributors are all personally affected to Joe in some way or other, but they are definitely not the only ones. Whatever excuses there are - there are some -, the editors apologize to whomever they have neglected. But even so the collection displays how influential Karel Lambert has been, personally and through his teaching and his writings. The display is in alphabetical order - with one exception: Bas van Fraassen, being about the earliest student of Karel Lambert, opens the collection with some reminiscences. Naturally, one of the focal points of this volume is Lambert's logical thinking and (or: freed of) ontological thinking. Free logic is intimately connected with description theory. Bas van Fraassen gives a survey of the development of the area, and Charles Daniels points to difficulties with definite descriptions in modal contexts and stories. Peter Woodruff addresses the relation between free logic and supervaluation semantics, presenting a novel condition which recovers desirable metatheoretic properties for free logic under that semantics. Terence Parsons shows how free logic can be utilized in interpreting sentences as purporting to denote events (true ones succeed and false ones fail) and how this helps to understand natural language.
