Logic And Structure
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Logic And Structure
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Author : Dirk van Dalen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Logic And Structure written by Dirk van Dalen 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 2013-11-11 with Mathematics categories.
New corrected printing of a well-established text on logic at the introductory level.
Logic And Structure
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Author : Dirk van Dalen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-13
Logic And Structure written by Dirk van Dalen 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 2012-11-13 with Mathematics categories.
Dirk van Dalen’s popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel’s famous incompleteness theorem. Propositional and predicate logic are presented in an easy-to-read style using Gentzen’s natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gödel translation, the disjunction and existence property are also included. The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. This new edition has been properly revised and contains a new section on ultra-products.
Logic And Structure
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Author : Dirk van Dalen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-29
Logic And Structure written by Dirk van Dalen 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 2008-07-29 with Mathematics categories.
New corrected printing of a well-established text on logic at the introductory level.
Logic And Structure
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Author : Dalen
language : en
Publisher:
Release Date : 1997
Logic And Structure written by Dalen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Logic And Structure
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Author : Springer
language : en
Publisher:
Release Date : 2014-01-15
Logic And Structure written by Springer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
The Structure Of Aristotelian Logic
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Author : James Wilkinson Miller
language : en
Publisher: Routledge
Release Date : 2015-08-14
The Structure Of Aristotelian Logic written by James Wilkinson Miller and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Philosophy categories.
Originally published in 1938. This compact treatise is a complete treatment of Aristotle’s logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. – within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.
Graph Structure And Monadic Second Order Logic
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Author : Bruno Courcelle
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-14
Graph Structure And Monadic Second Order Logic written by Bruno Courcelle 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 2012-06-14 with Mathematics categories.
The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
The Logical Structure Of Mathematical Physics
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Author : Joseph D. Sneed
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Logical Structure Of Mathematical Physics written by Joseph D. Sneed 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.
This book is about scientific theories of a particular kind - theories of mathematical physics. Examples of such theories are classical and relativis tic particle mechanics, classical electrodynamics, classical thermodynamics, statistical mechanics, hydrodynamics, and quantum mechanics. Roughly, these are theories in which a certain mathematical structure is employed to make statements about some fragment of the world. Most of the book is simply an elaboration of this rough characterization of theories of mathematical physics. It is argued that each theory of mathematical physics has associated with it a certain characteristic mathematical struc ture. This structure may be used in a variety of ways to make empirical claims about putative applications of the theory. Typically - though not necessarily - the way this structure is used in making such claims requires that certain elements in the structure play essentially different roles. Some playa "theoretical" role; others playa "non-theoretical" role. For example, in classical particle mechanics, mass and force playa theoretical role while position plays a non-theoretical role. Some attention is given to showing how this distinction can be drawn and describing precisely the way in which the theoretical and non-theoretical elements function in the claims of the theory. An attempt is made to say, rather precisely, what a theory of mathematical physics is and how you tell one such theory from anothe- what the identity conditions for these theories are.
The Logic Of Information Structures
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Author : Heinrich Wansing
language : en
Publisher:
Release Date : 2014-01-15
The Logic Of Information Structures written by Heinrich Wansing and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
The Logic Of Typed Feature Structures
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Author : Bob Carpenter
language : en
Publisher:
Release Date : 1992
The Logic Of Typed Feature Structures written by Bob Carpenter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computers categories.
This book develops the theory of typed feature structures and provides a logical foundation for logic programming and constraint based reasoning systems.