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Handbook Of Quantum Logic And Quantum Structures

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Handbook of Quantum Logic and Quantum Structures

Handbook of Quantum Logic and Quantum Structures Book
Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier
Release : 2011-08-11
ISBN : 9780080550381
Language : En, Es, Fr & De

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Book Description :

Since its inception in the famous 1936 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. Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability. - Written by eminent scholars in the field of logic - A comprehensive presentation of the theory, approaches and results in the field of quantum logic - Volume focuses on quantum structures

Handbook of Quantum Logic and

Handbook of Quantum Logic and Book
Author : Kurt Engesser,Dov M. Gabbay,Daniel Lehmann
Publisher : Elsevier Science Limited
Release : 2007
ISBN : 9780444528704
Language : En, Es, Fr & De

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Book Description :

Since its inception in the famous 1936 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. Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability. - Written by eminent scholars in the field of logic - A comprehensive presentation of the theory, approaches and results in the field of quantum logic - Volume focuses on quantum structures

Handbook of Quantum Logic and Quantum Structures Quantum Logic

Handbook of Quantum Logic and Quantum Structures  Quantum Logic Book
Author : Anonim
Publisher : Unknown
Release : 2009
ISBN : 9780444528698
Language : En, Es, Fr & De

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Book Description :

Download Handbook of Quantum Logic and Quantum Structures Quantum Logic book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Logic and Algebraic Structures in Quantum Computing

Logic and Algebraic Structures in Quantum Computing Book
Author : Jennifer Chubb,Ali Eskandarian,Valentina Harizanov
Publisher : Cambridge University Press
Release : 2016-02-01
ISBN : 110703339X
Language : En, Es, Fr & De

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Book Description :

Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Quantum Interaction

Quantum Interaction Book
Author : Dawei Song,Massimo Melucci,Ingo Frommholz,Peng Zhang,Lei Wang,Sachi Arafat
Publisher : Springer
Release : 2011-10-20
ISBN : 364224971X
Language : En, Es, Fr & De

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Book Description :

This book constitutes the thoroughly refereed post-conference proceedings of the 5th International Symposium on Quantum Interaction, QI 2011, held in Aberdeen, UK, in June 2011. The 26 revised full papers and 6 revised poster papers, presented together with 1 tutorial and 1 invited talk were carefully reviewed and selected from numerous submissions during two rounds of reviewing and improvement. The papers show the cross-disciplinary nature of quantum interaction covering topics such as computation, cognition, mechanics, social interaction, semantic space and information representation and retrieval.

From Classical Mechanics To Quantum Field Theory A Tutorial

From Classical Mechanics To Quantum Field Theory  A Tutorial Book
Author : Ercolessi Elisa,Moretti Valter,Asorey Manuel
Publisher : World Scientific
Release : 2020-01-14
ISBN : 9811210500
Language : En, Es, Fr & De

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Book Description :

This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.

New Structures for Physics

New Structures for Physics Book
Author : Bob Coecke
Publisher : Springer Science & Business Media
Release : 2010-10-20
ISBN : 3642128203
Language : En, Es, Fr & De

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Book Description :

This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Information And Complexity

Information And Complexity Book
Author : Burgin Mark,Calude Cristian S
Publisher : World Scientific
Release : 2016-11-28
ISBN : 9813109041
Language : En, Es, Fr & De

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Book Description :

The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity. The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area. The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.

Scientific Explanation and Methodology of Science

Scientific Explanation and Methodology of Science Book
Author : Guichun Guo,Chuang Liu
Publisher : World Scientific
Release : 2014-03-18
ISBN : 9814596655
Language : En, Es, Fr & De

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Book Description :

This volume contains the contributed papers of invitees to SEMS 2012 who have also given talks at the conference. The invitees are experts in philosophy of science and technology from Asia (besides China), Australia, Europe, Latin America, North America, as well as from within China. The papers in this volume represent the latest work of each researcher in his or her expertise; and as a result, they give a good representation of the cutting-edge researches in diverse areas in different parts of the world. Contents:The Directedness of Time in Classical Cosmology (Andreas Bartels and Daniel Wohlfarth)Explanation, Special Relativity, and Presentism (Katherine Brading)A Muse of Fire (James Robert Brown)SSK or ESW? — The Bloor-Lynch Debate Revisited (Kai-Yuan Cheng)Model Error and Ensemble Forecasting: A Cautionary Tale (Seamus Bradley, Roman Frigg, Hailiang Du, and Leonard A Smith)The Contextualist Basis of Scientific Explanation (Guichun Guo)On a Bottom-Up Approach to Scientific Discovery (Xiang Huang)The New Ignorance (Janet A Kourany)Models, Fiction, and Fictional Models (Chuang Liu)A Contextualist Interpretation of Mathematics (Jie Liu)Understanding as Integration of Heterogeneous Representations (Sergio F Martínez)Approximation of Laws (Ilkka Niniluoto)Science, Sex, and Pictures: Reflections on van Fraassen's Use of Perspectival Representations (Kathleen Okruhlik)Bayesianism versus Confirmation (Michael Strevens)The Equivalent Transformation Between Non-Truth-Function and Truth-Function (Xiao-Long Wan and Ming-Yi Chen)Mechanism and Productive Event (Zhu Xu)Social Science and the Bayesian Probability Explanation Model (Jie Yin and Lei Zhao)Choice of Units and the Causal Markov Condition (Jiji Zhang and Peter Spirtes) Readership: Graduate science students, professional scientists, and researchers. Keywords:Science Explanation;Scientific Method;Climate Models;Idealization;Relativity Theory;Cosmology

Fuzzy Logic and Mathematics

Fuzzy Logic and Mathematics Book
Author : Radim Belohlávek,Joseph W. Dauben,George J. Klir
Publisher : Oxford University Press
Release : 2017
ISBN : 0190200014
Language : En, Es, Fr & De

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Book Description :

The term "fuzzy logic," as it is understood in this book, stands for all aspects of representing and manipulating knowledge based on the rejection of the most fundamental principle of classical logic---the principle of bivalence. According to this principle, each declarative sentence is required to be either true or false. In fuzzy logic, these classical truth values are not abandoned. However, additional, intermediate truth values between true and false are allowed, which are interpreted as degrees of truth. This opens a new way of thinking---thinking in terms of degrees rather than absolutes. For example, it leads to the definition of a new kind of sets, referred to as fuzzy sets, in which membership is a matter of degree. The book examines the genesis and development of fuzzy logic. It surveys the prehistory of fuzzy logic and inspects circumstances that eventually lead to the emergence of fuzzy logic. The book explores in detail the development of propositional, predicate, and other calculi that admit degrees of truth, which are known as fuzzy logic in the narrow sense. Fuzzy logic in the broad sense, whose primary aim is to utilize degrees of truth for emulating common-sense human reasoning in natural language, is scrutinized as well. The book also examines principles for developing mathematics based on fuzzy logic and provides overviews of areas in which this has been done most effectively. It also presents a detailed survey of established and prospective applications of fuzzy logic in various areas of human affairs, and provides an assessment of the significance of fuzzy logic as a new paradigm.

How Humans Recognize Objects Segmentation Categorization and Individual Identification

How Humans Recognize Objects  Segmentation  Categorization and Individual Identification Book
Author : Chris Fields
Publisher : Frontiers Media SA
Release : 2016-08-18
ISBN : 2889199401
Language : En, Es, Fr & De

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Book Description :

Human beings experience a world of objects: bounded entities that occupy space and persist through time. Our actions are directed toward objects, and our language describes objects. We categorize objects into kinds that have different typical properties and behaviors. We regard some kinds of objects – each other, for example – as animate agents capable of independent experience and action, while we regard other kinds of objects as inert. We re-identify objects, immediately and without conscious deliberation, after days or even years of non-observation, and often following changes in the features, locations, or contexts of the objects being re-identified. Comparative, developmental and adult observations using a variety of approaches and methods have yielded a detailed understanding of object detection and recognition by the visual system and an advancing understanding of haptic and auditory information processing. Many fundamental questions, however, remain unanswered. What, for example, physically constitutes an “object”? How do specific, classically-characterizable object boundaries emerge from the physical dynamics described by quantum theory, and can this emergence process be described independently of any assumptions regarding the perceptual capabilities of observers? How are visual motion and feature information combined to create object information? How are the object trajectories that indicate persistence to human observers implemented, and how are these trajectory representations bound to feature representations? How, for example, are point-light walkers recognized as single objects? How are conflicts between trajectory-driven and feature-driven identifications of objects resolved, for example in multiple-object tracking situations? Are there separate “what” and “where” processing streams for haptic and auditory perception? Are there haptic and/or auditory equivalents of the visual object file? Are there equivalents of the visual object token? How are object-identification conflicts between different perceptual systems resolved? Is the common assumption that “persistent object” is a fundamental innate category justified? How does the ability to identify and categorize objects relate to the ability to name and describe them using language? How are features that an individual object had in the past but does not have currently represented? How are categorical constraints on how objects move or act represented, and how do such constraints influence categorization and the re-identification of individuals? How do human beings re-identify objects, including each other, as persistent individuals across changes in location, context and features, even after gaps in observation lasting months or years? How do human capabilities for object categorization and re-identification over time relate to those of other species, and how do human infants develop these capabilities? What can modeling approaches such as cognitive robotics tell us about the answers to these questions? Primary research reports, reviews, and hypothesis and theory papers addressing questions relevant to the understanding of perceptual object segmentation, categorization and individual identification at any scale and from any experimental or modeling perspective are solicited for this Research Topic. Papers that review particular sets of issues from multiple disciplinary perspectives or that advance integrative hypotheses or models that take data from multiple experimental approaches into account are especially encouraged.

Wigner Type Theorems for Hilbert Grassmannians

Wigner Type Theorems for Hilbert Grassmannians Book
Author : Mark Pankov
Publisher : Cambridge University Press
Release : 2020-01-16
ISBN : 1108790917
Language : En, Es, Fr & De

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Book Description :

An accessible introduction to the geometric approach to Wigner's theorem and its role in quantum mechanics.

The Emergent Multiverse

The Emergent Multiverse Book
Author : David Wallace
Publisher : OUP Oxford
Release : 2012-05-24
ISBN : 0191057398
Language : En, Es, Fr & De

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Book Description :

The Emergent Multiverse presents a striking new account of the 'many worlds' approach to quantum theory. The point of science, it is generally accepted, is to tell us how the world works and what it is like. But quantum theory seems to fail to do this: taken literally as a theory of the world, it seems to make crazy claims: particles are in two places at once; cats are alive and dead at the same time. So physicists and philosophers have often been led either to give up on the idea that quantum theory describes reality, or to modify or augment the theory. The Everett interpretation of quantum mechanics takes the apparent craziness seriously, and asks, 'what would it be like if particles really were in two places at once, if cats really were alive and dead at the same time'? The answer, it turns out, is that if the world were like that—if it were as quantum theory claims—it would be a world that, at the macroscopic level, was constantly branching into copies—hence the more sensationalist name for the Everett interpretation, the 'many worlds theory'. But really, the interpretation is not sensationalist at all: it simply takes quantum theory seriously, literally, as a description of the world. Once dismissed as absurd, it is now accepted by many physicists as the best way to make coherent sense of quantum theory. David Wallace offers a clear and up-to-date survey of work on the Everett interpretation in physics and in philosophy of science, and at the same time provides a self-contained and thoroughly modern account of it—an account which is accessible to readers who have previously studied quantum theory at undergraduate level, and which will shape the future direction of research by leading experts in the field.

Randomness Through Computation

Randomness Through Computation Book
Author : Hector Zenil
Publisher : World Scientific
Release : 2011
ISBN : 9814327743
Language : En, Es, Fr & De

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Book Description :

This review volume consists of an indispensable set of chapters written by leading scholars, scientists and researchers in the field of Randomness, including related subfields specially but not limited to the strong developed connections to the Computability and Recursion Theory. Highly respected, indeed renowned in their areas of specialization, many of these contributors are the founders of their fields. The scope of Randomness Through Computation is novel. Each contributor shares his personal views and anecdotes on the various reasons and motivations which led him to the study of the subject. They share their visions from their vantage and distinctive viewpoints. In summary, this is an opportunity to learn about the topic and its various angles from the leading thinkers.

Handbook of Molecular Physics and Quantum Chemistry 3 Volume Set

Handbook of Molecular Physics and Quantum Chemistry  3 Volume Set Book
Author : Stephen Wilson,Peter F. Bernath,Roy McWeeny
Publisher : Wiley-Blackwell
Release : 2003-03-07
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Published in three volumes, this comprehensive reference work brings together in a single source for the first time, a detailed presentation of the most important theoretical concepts and methods for the study of molecules and molecular systems. The logical format of the Handbook allows the reader to progress from the foundations of the field to the most important and exciting areas of current research. Edited and written by an outstanding international team, and containing over 100 articles written by more than 50 contributors, it will be invaluable for both the expert researcher and the graduate student or postdoctoral worker active in any of the broad range of fields where these concepts and methods are important. Comprises three themed volumes: * Fundamentals * Molecular Electronic Structure * Molecules in the Physico-Chemical Environment: Spectroscopy, Dynamics and Bulk Properties * Presents detailed articles covering the key topics, presented in a didactic manner * Focuses both on theory and the relation of experiment to theory Volume 1, Fundamentals presents the foundations of molecular physics and quantum chemistry. It consists of 7 parts arranged as follows:- Part 1 Introduction Part 2 Elements of Quantum Mechanics Part 3 Orbital Models for Atomic, Molecular and Crystal Structure Part 4 Symmetry Groups and Molecular Structure Part 5 Second Quantization and Many-Body Methods Part 6 Approximate Separation of Electronic and Nuclear Motion Part 7 Quantum Electrodynamics of Atoms and Molecules The central problem of molecular physics and quantum chemistry is the description of atomic and molecular electronic structure. The development of appropriate models for the description of the effects of electron correlation and of relativity are key components of the analysis. Volume 2, Molecular Electronic Structure, addresses these topics, and consists of 7 parts arranged as follows: Part 1 Approximation methods Part 2 Orbital Models and Generalized Product Functions Part 3 Electron correlation Part 4 Relativistic molecular electronic structure Part 5 Electronic structure of large molecules Part 6 Computational quantum chemistry Part 7 Visualization and interpretation of molecular electronic structure In reality no molecular system exists in isolation. Molecules interact with other atoms and molecules, and with their environment. Volume 3, Molecules in the Physico-Chemical Environment - Spectroscopy, Dynamics and Bulk Properties, consists of 7 parts arranged as follows:- Part 1 Response theory and propagator methods Part 2 Interactions between molecules Part 3 Molecules in different environments Part 4 Molecular Electronic spectra Part 5 Atomic Spectroscopy and Molecular Vibration-Rotation Spectroscopy Part 6 Molecular dynamics and dynamical processes Part 7 Bulk properties

Algebraic Methods in General Rough Sets

Algebraic Methods in General Rough Sets Book
Author : A. Mani,Gianpiero Cattaneo,Ivo Düntsch
Publisher : Springer
Release : 2019-01-11
ISBN : 3030011623
Language : En, Es, Fr & De

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Book Description :

This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Release : 2002-05-31
ISBN : 9781402005831
Language : En, Es, Fr & De

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Book Description :

such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.

The Oxford Handbook of Philosophy of Physics

The Oxford Handbook of Philosophy of Physics Book
Author : Robert Batterman
Publisher : Oxford University Press
Release : 2013-03-14
ISBN : 0195392043
Language : En, Es, Fr & De

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Book Description :

This Oxford Handbook provides an overview of many of the topics that currently engage philosophers of physics. It surveys new issues and the problems that have become a focus of attention in recent years. It also provides up-to-date discussions of the still very important problems that dominated the field in the past. In the late 20th Century, the philosophy of physics was largely focused on orthodox Quantum Mechanics and Relativity Theory. The measurement problem, the question of the possibility of hidden variables, and the nature of quantum locality dominated the literature on the quantum mechanics, whereas questions about relationalism vs. substantivalism, and issues about underdetermination of theories dominated the literature on spacetime. These issues still receive considerable attention from philosophers, but many have shifted their attentions to other questions related to quantum mechanics and to spacetime theories. Quantum field theory has become a major focus, particularly from the point of view of algebraic foundations. Concurrent with these trends, there has been a focus on understanding gauge invariance and symmetries. The philosophy of physics has evolved even further in recent years with attention being paid to theories that, for the most part, were largely ignored in the past. For example, the relationship between thermodynamics and statistical mechanics—-once thought to be a paradigm instance of unproblematic theory reduction—-is now a hotly debated topic. The implicit, and sometimes explicit, reductionist methodology of both philosophers and physicists has been severely criticized and attention has now turned to the explanatory and descriptive roles of "non-fundamental,'' phenomenological theories. This shift of attention includes "old'' theories such as classical mechanics, once deemed to be of little philosophical interest. Furthermore, some philosophers have become more interested in "less fundamental'' contemporary physics such as condensed matter theory. Questions abound with implications for the nature of models, idealizations, and explanation in physics. This Handbook showcases all these aspects of this complex and dynamic discipline.

Handbook of Philosophical Logic

Handbook of Philosophical Logic Book
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer
Release : 1994-09-30
ISBN : 9780792331001
Language : En, Es, Fr & De

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Book Description :

The Handbook of Philosophical Logic is a unique systematic survey of the central areas of philosophical logic. Divided into four volumes, each devoted to a major sub-field within the disciplines, it is expected that the Handbook will have considerable influence in the field for many years to come. Written by world authorities in philosophical logic, the work reflects careful and fruitful collaboration by the authors at every stage of the project. This has ensured a comprehensive and definitive set of articles which will be of inestimable value to general philosophers, linguists, logicians, mathematicians and computer scientists. Volume I: Elements of Classical Logic, deals with the background to what has come to be considered the standard formulation of predicate logic - both as far as its semantics and proof theory are concerned. The central chapter on predicate logic is followed by chapters outlining various alternative, but essentially equivalent ways of constructing the semantics for first-order logic as well as its proof theory. In addition, this volume contains a discussion of higher-order extensions of first-order logic and a compendium of the algorithmic and decision-theoretic prerequisites in the study of logical systems. Volume II: Extensions of Classical Logic, surveys the most significant `intensional' extensions of predicate logic and their applications to various philosophical fields of inquiry. The twelve chapters in this volume together provide a succinct introduction to a variety of intensional frameworks, a discussion of the most well-known logical systems, as well as an overview of major applications and of the open problems in the respective fields. Volume III: Alternatives to Classical Logic, consists of a series of surveys of some of the alternatives to the basic assumptions of classical logic. These include many-valued logic, partial logic, free logic, relevance and entailment logics, dialogue logic, quantum logic, and intuitionism. Volume IV: Topics in the Philosophy of Language, presents a panorama of the applications of logical tools and methods in the formal analysis of natural language. Since a number of developments in philosophical logic were originally stimulated by concern arising in the semantic analysis of natural language discourse, the chapters in this volume provide some criteria of evaluation of the applications of work in philosophical logic. In revealing both the adequacies and inadequacies of logical investigations in the semantic structures of natural discourse, these chapters also point the way to future developments in philosophical logic in general and thus close again the circle of inquiry relating logic and language.

Handbook of Spatial Logics

Handbook of Spatial Logics Book
Author : Marco Aiello,Ian Pratt-Hartmann,Johan van Benthem
Publisher : Springer Science & Business Media
Release : 2007-09-04
ISBN : 1402055870
Language : En, Es, Fr & De

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Book Description :

The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.