Racioc Nio L Gico E Introdu O Lgebra De Boole
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Discrete Structures Logic And Computability
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Author : James L. Hein
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2001
Discrete Structures Logic And Computability written by James L. Hein and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
Discrete Structure, Logic, and Computability introduces the beginning computer science student to some of the fundamental ideas and techniques used by computer scientists today, focusing on discrete structures, logic, and computability. The emphasis is on the computational aspects, so that the reader can see how the concepts are actually used. Because of logic's fundamental importance to computer science, the topic is examined extensively in three phases that cover informal logic, the technique of inductive proof; and formal logic and its applications to computer science.
The Four Color Theorem
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Author : Rudolf Fritsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Four Color Theorem written by Rudolf Fritsch 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 Mathematics categories.
This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.
Philosophy Of Logics
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Author : Susan Haack
language : en
Publisher: Cambridge University Press
Release Date : 1978-07-27
Philosophy Of Logics written by Susan Haack 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 1978-07-27 with Philosophy categories.
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Language Proof And Logic
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Author : Dave Barker-Plummer
language : en
Publisher: Stanford Univ Center for the Study
Release Date : 2011
Language Proof And Logic written by Dave Barker-Plummer and has been published by Stanford Univ Center for the Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
Rev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy.
Handbook Of Granular Computing
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Author : Witold Pedrycz
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-31
Handbook Of Granular Computing written by Witold Pedrycz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Technology & Engineering categories.
Although the notion is a relatively recent one, the notions and principles of Granular Computing (GrC) have appeared in a different guise in many related fields including granularity in Artificial Intelligence, interval computing, cluster analysis, quotient space theory and many others. Recent years have witnessed a renewed and expanding interest in the topic as it begins to play a key role in bioinformatics, e-commerce, machine learning, security, data mining and wireless mobile computing when it comes to the issues of effectiveness, robustness and uncertainty. The Handbook of Granular Computing offers a comprehensive reference source for the granular computing community, edited by and with contributions from leading experts in the field. Includes chapters covering the foundations of granular computing, interval analysis and fuzzy set theory; hybrid methods and models of granular computing; and applications and case studies. Divided into 5 sections: Preliminaries, Fundamentals, Methodology and Algorithms, Development of Hybrid Models and Applications and Case Studies. Presents the flow of ideas in a systematic, well-organized manner, starting with the concepts and motivation and proceeding to detailed design that materializes in specific algorithms, applications and case studies. Provides the reader with a self-contained reference that includes all pre-requisite knowledge, augmented with step-by-step explanations of more advanced concepts. The Handbook of Granular Computing represents a significant and valuable contribution to the literature and will appeal to a broad audience including researchers, students and practitioners in the fields of Computational Intelligence, pattern recognition, fuzzy sets and neural networks, system modelling, operations research and bioinformatics.
Shadows Of Syntax
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Author : Jared Warren
language : en
Publisher: Oxford University Press
Release Date : 2020-07-20
Shadows Of Syntax written by Jared Warren and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-20 with Mathematics categories.
What is the source of logical and mathematical truth? This volume revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. In Shadows of Syntax, Jared Warren offers the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. He argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims. In Part I, Warren explains exactly what conventionalism amounts to and what linguistic conventions are. Part II develops an unrestricted inferentialist theory of the meanings of logical constants that leads to logical conventionalism. This conventionalist theory is elaborated in discussions of logical pluralism, the epistemology of logic, and of the influential objections that led to the historical demise of conventionalism. Part III aims to extend conventionalism from logic to mathematics. Unlike logic, mathematics involves both ontological commitments and a rich notion of truth that cannot be generated by any algorithmic process. To address these issues Warren develops conventionalist-friendly but independently plausible theories of both metaontology and mathematical truth. Finally, Part IV steps back to address big picture worries and meta-worries about conventionalism. This book develops and defends a unified theory of logic and mathematics according to which logical and mathematical truths are reflections of our linguistic rules, mere shadows of syntax.
Type 2 Fuzzy Logic Theory And Applications
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Author : Oscar Castillo
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-20
Type 2 Fuzzy Logic Theory And Applications written by Oscar Castillo 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 2008-02-20 with Mathematics categories.
This book describes new methods for building intelligent systems using type-2 fuzzy logic and soft computing (SC) techniques. The authors extend the use of fuzzy logic to a higher order, which is called type-2 fuzzy logic. Combining type-2 fuzzy logic with traditional SC techniques, we can build powerful hybrid intelligent systems that can use the advantages that each technique offers. This book is intended to be a major reference tool and can be used as a textbook.
Metalogic
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Author : Geoffrey Hunter
language : en
Publisher: Univ of California Press
Release Date : 1973-06-26
Metalogic written by Geoffrey Hunter and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-06-26 with Mathematics categories.
This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
The Metaphysics Of Logic
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Author : Penelope Rush
language : en
Publisher: Cambridge University Press
Release Date : 2014-10-16
The Metaphysics Of Logic written by Penelope Rush 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 2014-10-16 with Mathematics categories.
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
Deviant Logic Fuzzy Logic
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Author : Susan Haack
language : en
Publisher: University of Chicago Press
Release Date : 1996-12-15
Deviant Logic Fuzzy Logic written by Susan Haack and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-15 with Philosophy categories.
Initially proposed as rivals of classical logic, alternative logics have become increasingly important in areas such as computer science and artificial intelligence. Fuzzy logic, in particular, has motivated major technological developments in recent years. Susan Haack's Deviant Logic provided the first extended examination of the philosophical consequences of alternative logics. In this new volume, Haack includes the complete text of Deviant Logic, as well as five additional papers that expand and update it. Two of these essays critique fuzzy logic, while three augment Deviant Logic's treatment of deduction and logical truth. Haack also provides an extensive new foreword, brief introductions to the new essays, and an updated bibliography of recent work in these areas. Deviant Logic, Fuzzy Logic will be indispensable to students of philosophy, philosophy of science, linguistics, mathematics, and computer science, and will also prove invaluable to experienced scholars working in these fields.