Modern Logic And Quantum Mechanics
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Modern Logic And Quantum Mechanics
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Author : Rachel Wallace Garden
language : en
Publisher: CRC Press
Release Date : 1984
Modern Logic And Quantum Mechanics written by Rachel Wallace Garden and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Art categories.
The Logic Of Quantum Mechanics Volume 15
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Author : Enrico G. Beltrametti
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-09
The Logic Of Quantum Mechanics Volume 15 written by Enrico G. Beltrametti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-09 with Mathematics categories.
This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.
Quantum Probability Logic
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Author : Meir Hemmo
language : en
Publisher: Springer Nature
Release Date : 2020-04-07
Quantum Probability Logic written by Meir Hemmo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-07 with Science categories.
This volume provides a broad perspective on the state of the art in the philosophy and conceptual foundations of quantum mechanics. Its essays take their starting point in the work and influence of Itamar Pitowsky, who has greatly influenced our understanding of what is characteristically non-classical about quantum probabilities and quantum logic, and this serves as a vantage point from which they reflect on key ongoing debates in the field. Readers will find a definitive and multi-faceted description of the major open questions in the foundations of quantum mechanics today, including: Is quantum mechanics a new theory of (contextual) probability? Should the quantum state be interpreted objectively or subjectively? How should probability be understood in the Everett interpretation of quantum mechanics? What are the limits of the physical implementation of computation? The impact of this volume goes beyond the exposition of Pitowsky’s influence: it provides a unique collection of essays by leading thinkers containing profound reflections on the field. Chapter 1. Classical logic, classical probability, and quantum mechanics (Samson Abramsky) Chapter 2. Why Scientific Realists Should Reject the Second Dogma of Quantum Mechanic (Valia Allori) Chapter 3. Unscrambling Subjective and Epistemic Probabilities (Guido Bacciagaluppi) Chapter 4. Wigner’s Friend as a Rational Agent (Veronika Baumann, Časlav Brukner) Chapter 5. Pitowsky's Epistemic Interpretation of Quantum Mechanics and the PBR Theorem (Yemima Ben-Menahem) Chapter 6. On the Mathematical Constitution and Explanation of Physical Facts (Joseph Berkovitz) Chapter 7. Everettian probabilities, the Deutsch-Wallace theorem and the Principal Principle (Harvey R. Brown, Gal Ben Porath) Chapter 8. ‘Two Dogmas’ Redu (Jeffrey Bub) Chapter 9. Physical Computability Theses (B. Jack Copeland, Oron Shagrir) Chapter 10. Agents in Healey’s Pragmatist Quantum Theory: A Comparison with Pitowsky’s Approach to Quantum Mechanics (Mauro Dorato) Chapter 11. Quantum Mechanics As a Theory of Observables and States and, Thereby, As a Theory of Probability (John Earman, Laura Ruetsche) Chapter 12. The Measurement Problem and two Dogmas about Quantum Mechanic (Laura Felline) Chapter 13. There Is More Than One Way to Skin a Cat: Quantum Information Principles In a Finite World(Amit Hagar) Chapter 14. Is Quantum Mechanics a New Theory of Probability? (Richard Healey) Chapter 15. Quantum Mechanics as a Theory of Probability (Meir Hemmo, Orly Shenker) Chapter 16. On the Three Types of Bell's Inequalities (Gábor Hofer-Szabó) Chapter 17. On the Descriptive Power of Probability Logic (Ehud Hrushovski) Chapter 18. The Argument against Quantum Computers (Gil Kalai) Chapter 19. Why a Relativistic Quantum Mechanical World Must be Indeterministic (Avi Levy, Meir Hemmo) Chapter 20. Subjectivists about Quantum Probabilities Should be Realists about Quantum States (Wayne C. Myrvold) Chapter 21. The Relativistic Einstein-Podolsky-Rosen Argument (Michael Redhead) Chapter 22. What price statistical independence? How Einstein missed the photon.(Simon Saunders) Chapter 23. How (Maximally) Contextual is Quantum Mechanics? (Andrew W. Simmons) Chapter 24. Roots and (Re)Sources of Value (In)Definiteness Versus Contextuality (Karl Svozil) Chapter 25: Schrödinger’s Reaction to the EPR Paper (Jos Uffink) Chapter 26. Derivations of the Born Rule (Lev Vaidman) Chapter 27. Dynamical States and the Conventionality of (Non-) Classicality (Alexander Wilce).
Modern Physics And Its Philosophy
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Author : M. Strauss
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modern Physics And Its Philosophy written by M. Strauss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In selecting the papers for this volume I have excluded all physics papers proper. I have further omitted all book rev.iews. Instead, I have included two papers not published previously; they are marked by an asterisk (*) in the table of contents. Since many of the papers were occasioned by Symposia or similar gatherings their chronological order is rather accidental. Hence I have tried to group the papers thematically into four parts. Within each part the order of sequence is from the more general to the more special, or from a more popular to a more technical treatment. The same principle has been applied to the sequential order of the parts. The foundational papers on quantum mechanics have been arranged in a somewhat dif ferent manner. Chapters XVI-XIX are concerned with the logic of complementarity while in Chapters XX-XXII a more radical recon ceptualization is carried out. Two of the older papers (Chapters VI and VIII) have been revised to bring them more into line with present terminology. Other papers have been corrected by additions and omissions. Additions are marked by square brackets [ ], while double square brackets [[ II signify omis sions or parts to be omitted. Hence [[A]] [B] means that 'A' should be replaced by 'B'. The heading of one paper (Chapter XX) has been changed to make it more descriptive.
Quantum Philosophy
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Author : Roland Omnès
language : en
Publisher: Princeton University Press
Release Date : 2002-02-25
Quantum Philosophy written by Roland Omnès and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-25 with Science categories.
In this magisterial work, Roland Omnès takes us from the academies of ancient Greece to the laboratories of modern science as he seeks to do no less than rebuild the foundations of the philosophy of knowledge. One of the world's leading quantum physicists, Omnès reviews the history and recent development of mathematics, logic, and the physical sciences to show that current work in quantum theory offers new answers to questions that have puzzled philosophers for centuries: Is the world ultimately intelligible? Are all events caused? Do objects have definitive locations? Omnès addresses these profound questions with vigorous arguments and clear, colorful writing, aiming not just to advance scholarship but to enlighten readers with no background in science or philosophy. The book opens with an insightful and sweeping account of the main developments in science and the philosophy of knowledge from the pre-Socratic era to the nineteenth century. Omnès then traces the emergence in modern thought of a fracture between our intuitive, commonsense views of the world and the abstract and--for most people--incomprehensible world portrayed by advanced physics, math, and logic. He argues that the fracture appeared because the insights of Einstein and Bohr, the logical advances of Frege, Russell, and Gödel, and the necessary mathematics of infinity of Cantor and Hilbert cannot be fully expressed by words or images only. Quantum mechanics played an important role in this development, as it seemed to undermine intuitive notions of intelligibility, locality, and causality. However, Omnès argues that common sense and quantum mechanics are not as incompatible as many have thought. In fact, he makes the provocative argument that the "consistent-histories" approach to quantum mechanics, developed over the past fifteen years, places common sense (slightly reappraised and circumscribed) on a firm scientific and philosophical footing for the first time. In doing so, it provides what philosophers have sought through the ages: a sure foundation for human knowledge. Quantum Philosophy is a profound work of contemporary science and philosophy and an eloquent history of the long struggle to understand the nature of the world and of knowledge itself.
Reasoning In Quantum Theory
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Author : Maria Luisa Dalla Chiara
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-31
Reasoning In Quantum Theory written by Maria Luisa Dalla Chiara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-31 with Mathematics categories.
"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.
The Nature Of Quantum Paradoxes
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Author : G. Tarozzi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Nature Of Quantum Paradoxes written by G. Tarozzi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
For three days in April of 1985, Cesena (Italy) was the scene of a national conference which was convened, by the Assessorato alia Cultura of this town under the auspices of the Societa Italiana di Logica e Filosofia delle Scienze (SILFS), in order to celebrate two historical milestones: the centenary of the birth of Niels Bohr, who was to become the leader of the orthodox, or Copenhagen, interpretation of quantum theory, and the fiftieth anniversary of the publication of the most influential challenge to this interpretation which was contained in the well-known paper coauthored by Einstein, Podolsky, and Rosen. The proceedings of the Cesena meeting, which are collected in the present volume, are intended to provide an exhaustive and panoramic view of the most recent investigations carried out by Italian scientists and philo sophers engaged in research on the foundations of quantum physics. What emerges is a critical review of, and alternative approaches to, the orthodox interpretation of the Copenhagen school.
Logical And Epistemological Studies In Contemporary Physics
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Author : Robert S. Cohen
language : en
Publisher: Springer
Release Date : 1973-12-31
Logical And Epistemological Studies In Contemporary Physics written by Robert S. Cohen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-12-31 with Science categories.
In this volume of the Boston Studies in the Philosophy of Science, we present a collection of articles on philosophical issues in contemporary physics. The principal domain of these investigations is quantum physics. There are also articles on questions in classical mechanics (Hooker), and relativity theory (papapetrou and Stachel), as well as a monographic essay in evolutionary epistemology (yilmaz), applying the conceptual and mathematical understanding of special relativistic quantum field theory to set forth a theory of the evolution and adaptation of perceptual structures. Finally, in addition, there are two essays on classical issues in the philosophy of nature - one, on types of continuity (Capek), which suggests an analogy between the perceptual and the quantum domains; the other, on causality, the first translation into English of a minor classic in the philosophical understanding of modern physics, H. Berg man's well-known but little-read Der Kampf um das Kausalgesetz in der jiingsten Physik (Vieweg, Braunschweig, 1929). On the occasion of this publication, Professor Bergman has kindly contributed an introductory essay, 'Personal Remembrances of Albert Einstein'. Of the seven essays on quantum mechanics, four are on quantum logic (Marlow, Heelan, Bub and Demopoulos, Van Fraassen), the last being a critical survey of various current proposals for quantum logics; the re maining three (MacKinnon, Stachel and Van Fraassen) are concerned with both the formal issues and the ontological commitments of quantum physics.
Rational Reconstructions Of Modern Physics
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Author : Peter Mittelstaedt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-13
Rational Reconstructions Of Modern Physics written by Peter Mittelstaedt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Science categories.
Newton’s classical physics and its underlying ontology are loaded with several metaphysical hypotheses that cannot be justified by rational reasoning nor by experimental evidence. Furthermore, it is well known that some of these hypotheses are not contained in the great theories of Modern Physics, such as the theory of Special Relativity and Quantum Mechanics. This book shows that, on the basis of Newton’s classical physics and by rational reconstruction, the theory of Special Relativity as well as Quantum Mechanics can be obtained by partly eliminating or attenuating the metaphysical hypotheses. Moreover, it is shown that these reconstructions do not require additional hypotheses or new experimental results. In the second edition the rational reconstructions are completed with respect to General Relativity and Cosmology. In addition, the statistics of quantum objects is elaborated in more detail with respect to the rational reconstruction of quantum mechanics. The new material completes the approach of the book as much as it is possible at the present state of knowledge. Presumably, the most important contribution that is added to the second edition refers to the problem of interpretation of the three great theories of Modern Physics. It is shown in detail that in the light of rational reconstructions even realistic interpretations of the three theories of Modern Physics are possible and can easily be achieved.
Alternative Logics Do Sciences Need Them
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Author : Paul A. Weingartner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Alternative Logics Do Sciences Need Them written by Paul A. Weingartner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.
Initially proposed as rivals of classical logic, alternative logics have become increasingly important in sciences such as quantum physics, computer science, and artificial intelligence. The contributions collected here address the question whether the usage of logic in the sciences, especially in modern physics, requires a deviation from classical mathematical logic. The articles in the first part of the book set the scene by describing the context and the dilemma when applying logic in science. In Part II the authors offer several logics that deviate in different ways. The twelve papers in Part III investigate in detail specific aspects such as quantum logic, quantum computation, computer-science considerations, praxic logic, and quantum probability. The monograph provides a succinct picture of recent research in alternative logics as they have been developed for applications in the sciences.