Quantum Probability Logic

Author : Patrick Suppes
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 44,6 Mb
Release : 2013-11-11
Category : Science
ISBN : 9789401094665

Get Book

Logic and Probability in Quantum Mechanics by Patrick Suppes Pdf

During the academic years 1972-1973 and 1973-1974, an intensive sem inar on the foundations of quantum mechanics met at Stanford on a regular basis. The extensive exploration of ideas in the seminar led to the org~ization of a double issue of Synthese concerned with the foundations of quantum mechanics, especially with the role of logic and probability in quantum meChanics. About half of the articles in the volume grew out of this seminar. The remaining articles have been so licited explicitly from individuals who are actively working in the foun dations of quantum mechanics. Seventeen of the twenty-one articles appeared in Volume 29 of Syn these. Four additional articles and a bibliography on -the history and philosophy of quantum mechanics have been added to the present volume. In particular, the articles by Bub, Demopoulos, and Lande, as well as the second article by Zanotti and myself, appear for the first time in the present volume. In preparing the articles for publication I am much indebted to Mrs. Lillian O'Toole, Mrs. Dianne Kanerva, and Mrs. Marguerite Shaw, for their extensive assistance.

Author : Meir Hemmo,Orly Shenker
Publisher : Springer Nature
Page : 635 pages
File Size : 47,7 Mb
Release : 2020-04-07
Category : Science
ISBN : 9783030343163

Get Book

Quantum, Probability, Logic by Meir Hemmo,Orly Shenker Pdf

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).

Author : Itamar Pitowsky
Publisher : Unknown
Page : 224 pages
File Size : 46,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662137348

Get Book

Quantum Probability - Quantum Logic by Itamar Pitowsky Pdf

Author : Enrico G. Beltrametti,Gianni Cassinelli
Publisher : Cambridge University Press
Page : 340 pages
File Size : 42,8 Mb
Release : 2010-12-09
Category : Mathematics
ISBN : 052116849X

Get Book

The Logic of Quantum Mechanics: Volume 15 by Enrico G. Beltrametti,Gianni Cassinelli Pdf

This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.

Author : Stanley P. Gudder
Publisher : Academic Press
Page : 316 pages
File Size : 41,7 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9780080918488

Get Book

Quantum Probability by Stanley P. Gudder Pdf

Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.

Author : Rachel Wallace Garden
Publisher : CRC Press
Page : 204 pages
File Size : 43,6 Mb
Release : 1984
Category : Physics
ISBN : UCAL:B4423446

Get Book

Modern Logic and Quantum Mechanics, by Rachel Wallace Garden Pdf

Author : Miklós Rédei
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 40,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401590266

Get Book

Quantum Logic in Algebraic Approach by Miklós Rédei Pdf

This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.

Author : Andrei Khrennikov,Karl Svozil
Publisher : MDPI
Page : 276 pages
File Size : 42,5 Mb
Release : 2019-04-18
Category : Science
ISBN : 9783038977148

Get Book

Quantum Probability and Randomness by Andrei Khrennikov,Karl Svozil Pdf

The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Author : Karl Svozil
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 48,5 Mb
Release : 1998-09-01
Category : Science
ISBN : 9814021075

Get Book

Quantum Logic by Karl Svozil Pdf

Quantum Logic deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.

Author : C.A. Hooker
Publisher : Springer Science & Business Media
Page : 611 pages
File Size : 41,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401017954

Get Book

The Logico-Algebraic Approach to Quantum Mechanics by C.A. Hooker Pdf

The twentieth century has witnessed a striking transformation in the un derstanding 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 order 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 struc ture, 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 maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip ulation of purely abstract structures.

Author : Meir Hemmo,Orly R. Shenker
Publisher : Cambridge University Press
Page : 341 pages
File Size : 49,6 Mb
Release : 2012-09-20
Category : Science
ISBN : 9781107019683

Get Book

The Road to Maxwell's Demon by Meir Hemmo,Orly R. Shenker Pdf

A philosophical perspective to statistical mechanics for graduate students and researchers in the foundations and philosophy of physics.

Author : Yemima Ben-Menahem,Meir Hemmo
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 41,6 Mb
Release : 2012-01-25
Category : Science
ISBN : 9783642213281

Get Book

Probability in Physics by Yemima Ben-Menahem,Meir Hemmo Pdf

What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.

Author : Miklós Rédei,Michael Stöltzner
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 40,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401720120

Get Book

John von Neumann and the Foundations of Quantum Physics by Miklós Rédei,Michael Stöltzner Pdf

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.

Author : Patrick Suppes
Publisher : Unknown
Page : 568 pages
File Size : 46,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401094675

Get Book

Logic and Probability in Quantum Mechanics by Patrick Suppes Pdf

Author : R. Mirman
Publisher : iUniverse
Page : 341 pages
File Size : 51,9 Mb
Release : 2004-12
Category : Quantum field theory
ISBN : 9780595336906

Get Book

Quantum Mechanics, Quantum Field Theory by R. Mirman Pdf

The author does not want a book description on the back cover.