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Quantum Physics And Linguistics

Author: Chris Heunen
Publisher: Oxford University Press
ISBN: 0199646295
Size: 59.62 MB
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An interdisciplinary attempt to bring together physicists and linguists who use the same compositional mathematical methods. Although seemingly unrelated, due to the complexity and dynamics of the compound phenomena they aim to model, and also advances in their high level methods, these fields have come to share a common mathematical structure.

The Incomputable

Author: S. Barry Cooper
Publisher: Springer
ISBN: 3319436694
Size: 66.10 MB
Format: PDF, Mobi
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This book questions the relevance of computation to the physical universe. Our theories deliver computational descriptions, but the gaps and discontinuities in our grasp suggest a need for continued discourse between researchers from different disciplines, and this book is unique in its focus on the mathematical theory of incomputability and its relevance for the real world. The core of the book consists of thirteen chapters in five parts on extended models of computation; the search for natural examples of incomputable objects; mind, matter, and computation; the nature of information, complexity, and randomness; and the mathematics of emergence and morphogenesis. This book will be of interest to researchers in the areas of theoretical computer science, mathematical logic, and philosophy.

Picturing Quantum Processes

Author: Bob Coecke
Publisher: Cambridge University Press
ISBN: 1108107710
Size: 30.62 MB
Format: PDF, Docs
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The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.

Mathematical Methods In Linguistics

Author: Barbara B.H. Partee
Publisher: Springer Science & Business Media
ISBN: 9400922132
Size: 23.63 MB
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Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.

Night Vision

Author: Michael Rowan-Robinson
Publisher: Cambridge University Press
ISBN: 1107024765
Size: 80.85 MB
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Michael Rowan-Robinson provides a comprehensive history of infrared astronomy in this accessible and well-illustrated guide.

Categorical Quantum Models And Logics

Author: Chris Heunen
Publisher: Amsterdam University Press
ISBN: 9085550246
Size: 24.36 MB
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This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so, principles of quantum mechanics are modeled categorically. These categorical quantum models are justified by an embedding into the category of Hilbert spaces, the traditional formalism of quantum physics. In particular, complex numbers emerge without having been prescribed explicitly. Interpreting logic in such categories results in orthomodular property lattices, and furthermore provides a natural setting to consider quantifiers. Finally, topos theory, incorporating categorical logic in a refined way, lets one study a quantum system as if it were classical, in particular leading to a novel mathematical notion of quantum-

The Discourse Of Physics

Author: Y. J. Doran
Publisher: Routledge
ISBN: 1351721410
Size: 50.72 MB
Format: PDF
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This book provides a detailed model of both the discourse and knowledge of physics and offers insights toward developing pedagogy that improves how physics is taught and learned. Building on a rich history of applying a Systemic Functional Linguistics approach to scientific discourse, the book uses an SFL framework, here extended to encompass the more recently developed Systemic Functional Multimodal Discourse Analysis approach, to explore the field’s multimodal nature and offer detailed descriptions of three of its key semiotic resources – language, image, and mathematics. To complement the book’s SFL underpinnings, Doran draws on the sociological framework of Legitimation Code Theory, which offers tools for understanding the principles of how knowledge is developed and valued, to explore the manifestation of knowledge in physics specifically and its relationship with discourse. Through its detailed descriptions of the key semiotic resources and its analysis of the knowledge structure of physics, this book is an invaluable resource for graduate students and researchers in multimodality, discourse analysis, educational linguistics, and science education.

Categories And Types In Logic Language And Physics

Author: Claudia Casadio
Publisher: Springer
ISBN: 3642547893
Size: 30.11 MB
Format: PDF
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For more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.

Introduction To Systemic Functional Linguistics

Author: Suzanne Eggins
Publisher: A&C Black
ISBN: 9780826457868
Size: 21.98 MB
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Introduction to systemic functional linguistics explores the social semiotic approach to language most closely associated with the work of Michael Halliday and his colleagues>