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Thursday, July 16, 2020 | History

6 edition of Logic and probability in quantum mechanics found in the catalog.

Logic and probability in quantum mechanics

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Published by D. Reidel Pub. Co. in Dordrecht, Boston .
Written in English

    Subjects:
  • Quantum theory -- Addresses, essays, lectures,
  • Physics -- Philosophy -- Addresses, essays, lectures

  • Edition Notes

    Statementedited by Patrick Suppes.
    SeriesSynthese library ; v. 78
    ContributionsSuppes, Patrick, 1922-
    Classifications
    LC ClassificationsQC174.125 .L62
    The Physical Object
    Paginationxv, 541 p. ;
    Number of Pages541
    ID Numbers
    Open LibraryOL5205252M
    ISBN 109027705704
    LC Control Number75030834

      Introductory lecture on Probability Theory: The Logic of Science by E.T. Jaynes. Aubrey Clayton, March In quantum mechanics, however, all we can do is calculate the probability of getting some particular result when we make a measurement (of a particle’s position or speed, or some other property). Those probabilities are governed by an abstract mathematical entity known as the wave function.

    The article "Quantum Logic and Probability Theory," by Wilce, has the following in section The Reconstruction of QM. From the single premise that the “experimental propositions” associated with a physical system are encoded by projections in the way indicated above, one can reconstruct the rest of the formal apparatus of quantum mechanics. In quantum mechanics, quantum logic is a set of rules for reasoning about propositions that takes the principles of quantum theory into account. This research area and its name originated in the paper by Garrett Birkhoff and John von Neumann, who were attempting to reconcile the apparent inconsistency of classical logic with the facts concerning the measurement of complementary variables.

    lems in quantum mechanics are related to the analysis of the differen tial operators related to dynamical observables; as w e shall see. T ake the function f (x) = e λx. The Foundations of Probability and Quantum Mechanics. Peter Milne - - Journal of Philosophical Logic 22 (2) - Quantum Probability in Logical Space.


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Logic and probability in quantum mechanics Download PDF EPUB FB2

Full Description:" Quantum Probability - Quantum Logic, good words and speeches are a great help in any profession, and knowing that you can talk to a higher group with confidence can be a great affirmation of your might even help your career, because those who are good at reading, both oral and knowledgeable on various topics, can quickly be advertised (and more generally.

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.5/5(2). Since its inception in the famous paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics” quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development.

Various schools of thought and approaches have emerged and there are a variety of technical results. 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.

ISBN: X OCLC Number: Notes: Includes indexes. Description: xv, pages ; 23 cm. Contents: Part I. Logic --A notion of mechanistic theory / G. Kreisel --Essai sur la logique de I'indéterminisme et la ramification de l'espace-temps / Roland Fraïssé --How to think quantum-logically / Hilary Putnam --The conditional in quantum logic.

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 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.4/5(3). This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory".

Using the concept of "correlation" carefully analyzed in the context of classical probability and in Cited by: Notes to Quantum Logic and Probability Theory. Only in the context of non-relativistic quantum mechanics, and then only absent superselection rules, is this algebra a type I factor.

For the expository purposes of this paper, we restrict our discussion to this context. Logic and probability in quantum mechanics. Publication date Topics Physics -- Philosophy, Quantum theory Publisher Dordrecht ; Boston: D.

Reidel Pub. Borrow this book to access EPUB and PDF files. IN COLLECTIONS. Books to Pages: Probability --The quantum probability calculus / J.M. Jauch --The probability structure of quantum-mechanical systems / Zoltan Domotor --Towards a revised probabilistic basis for quantum mechanics / Terrence L.

Fine --Probability in a discrete model of particles and observations / Ted Bastin --Superposition and macroscopic observation / Nancy. A quantum logic, in the general sense, is a formal language for expressing relationships between measurement results, without making any prior assumptions about what measurement means beyond the fact that measurement turns up numerical answers.

Ahhh super duper interesting question. Tells me that you are not just regurgitating facts, but you also analyze them and ask appropriate questions. ^_^ I actually. Purchase Quantum Probability - 1st Edition. Print Book & E-Book. ISBNThis book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory".

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. quantum mechanics uses a method for calculating probabilities which is dif-ferent from that of classical probability theory1. Moreover, in order to force quantum probability to conform to the classical mold we have to add objects (variables, events) and dynamical laws over and above those of quantum the-ory.

from book Entanglement, Information, and the Interpretation of Quantum Mechanics Quantum Measurement, Probability, and Logic Article May with 55 ReadsAuthor: Gregg Jaeger.

Quantum, Probability, Logic: The Work and Influence of Itamar Pitowsky (1st ed. ) (Jerusalem Studies in Philosophy and History of Science). In von Neumann required the existence of an “a priori” probability measure on quantum logic, a probability measure which, besides being strong additive, also is faithful in the sense that every non-zero event has a finite, non-zero probability value.

13 Hence, according to von Neumann, quantum logic is supposed to be a lattice L on. This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory".

Using the concept of "correlation" carefully analyzed inBrand: Springer-Verlag Berlin Heidelberg.Quantum logic has been introduced by Birkhoff and von Neumann as an attempt to base the logical primitives, the propositions and the relations and operations among them, on quantum theoretical entities, and thus on the related empirical evidence of the quantum world.

We give a brief outline of quantum logic, and some of its algebraic properties, such as nondistributivity, whereby emphasis is Cited by: 6. This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory".

Using the concept of "correlation" carefully analyzed Author: Itamar Pitowsky.