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Author : Craig DeLancey
Publisher : Open SUNY Textbooks
ISBN 13 : 9781942341437
Total Pages : pages
Book Rating : 4.3/5 (414 download)
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Englebretsen
Publisher : A&C Black
ISBN 13 : 1441119116
Total Pages : 209 pages
Book Rating : 4.4/5 (411 download)
Download or read book Philosophical Logic written by George Englebretsen and published by A&C Black. This book was released on 2011-03-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces students to non-classical logic, syllogistic, to quantificational and modal logic. The book includes exercises throughout and a glossary of terms and symbols.
Author : Ruy J. G. B. de Queiroz
Publisher : World Scientific
ISBN 13 : 9814360953
Total Pages : 299 pages
Book Rating : 4.8/5 (143 download)
Download or read book The Functional Interpretation of Logical Deduction written by Ruy J. G. B. de Queiroz and published by World Scientific. This book was released on 2012 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book provides an adequate framework to establish various calculi of logical inference. Being an ?enriched? system of natural deduction, it helps to formulate logical calculi in an operational manner. By uncovering a certain harmony between a functional calculus on the labels and a logical calculus on the formulas, it allows mathematical foundations for systems of logic presentation designed to handle meta-level features at the object-level via a labelling mechanism, such as the D Gabbay's Labelled Deductive Systems. The book truly demonstrates that introducing ?labels? is useful to understand the proof-calculus itself, and also to clarify its connections with model-theoretic interpretations.
Author : André Inácio Reis
Publisher : Springer
ISBN 13 : 3319672959
Total Pages : 236 pages
Book Rating : 4.3/5 (196 download)
Download or read book Advanced Logic Synthesis written by André Inácio Reis and published by Springer. This book was released on 2017-11-15 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a single-source reference to the state-of-the-art in logic synthesis. Readers will benefit from the authors’ expert perspectives on new technologies and logic synthesis, new data structures, big data and logic synthesis, and convergent logic synthesis. The authors describe techniques that will enable readers to take advantage of recent advances in big data techniques and frameworks in order to have better logic synthesis algorithms.
Author : J. Lambek
Publisher : Cambridge University Press
ISBN 13 : 9780521356534
Total Pages : 308 pages
Book Rating : 4.3/5 (565 download)
Download or read book Introduction to Higher-Order Categorical Logic written by J. Lambek and published by Cambridge University Press. This book was released on 1988-03-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I indicates that typed-calculi are a formulation of higher-order logic, and cartesian closed categories are essentially the same. Part II demonstrates that another formulation of higher-order logic is closely related to topos theory.
Author : Said Melliani
Publisher : Springer Nature
ISBN 13 : 3030539296
Total Pages : 285 pages
Book Rating : 4.0/5 (35 download)
Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics written by Said Melliani and published by Springer Nature. This book was released on 2020-10-12 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. Covering topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations, it discusses applications such as fuzzy real-time scheduling, intelligent control, diagnostics and time series prediction. The book features selected contributions presented at the 6th international congress of the Moroccan Applied Mathematics Society, which took place at Sultan Moulay Slimane University Beni Mellal, Morocco, from 7 to 9 November 2019.
Author : Zofia Adamowicz
Publisher : John Wiley & Sons
ISBN 13 : 1118030796
Total Pages : 276 pages
Book Rating : 4.1/5 (18 download)
Download or read book Logic of Mathematics written by Zofia Adamowicz and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough, accessible, and rigorous presentation of the central theorems of mathematical logic . . . ideal for advanced students of mathematics, computer science, and logic Logic of Mathematics combines a full-scale introductory course in mathematical logic and model theory with a range of specially selected, more advanced theorems. Using a strict mathematical approach, this is the only book available that contains complete and precise proofs of all of these important theorems: * Gödel's theorems of completeness and incompleteness * The independence of Goodstein's theorem from Peano arithmetic * Tarski's theorem on real closed fields * Matiyasevich's theorem on diophantine formulas Logic of Mathematics also features: * Full coverage of model theoretical topics such as definability, compactness, ultraproducts, realization, and omission of types * Clear, concise explanations of all key concepts, from Boolean algebras to Skolem-Löwenheim constructions and other topics * Carefully chosen exercises for each chapter, plus helpful solution hints At last, here is a refreshingly clear, concise, and mathematically rigorous presentation of the basic concepts of mathematical logic-requiring only a standard familiarity with abstract algebra. Employing a strict mathematical approach that emphasizes relational structures over logical language, this carefully organized text is divided into two parts, which explain the essentials of the subject in specific and straightforward terms. Part I contains a thorough introduction to mathematical logic and model theory-including a full discussion of terms, formulas, and other fundamentals, plus detailed coverage of relational structures and Boolean algebras, Gödel's completeness theorem, models of Peano arithmetic, and much more. Part II focuses on a number of advanced theorems that are central to the field, such as Gödel's first and second theorems of incompleteness, the independence proof of Goodstein's theorem from Peano arithmetic, Tarski's theorem on real closed fields, and others. No other text contains complete and precise proofs of all of these theorems. With a solid and comprehensive program of exercises and selected solution hints, Logic of Mathematics is ideal for classroom use-the perfect textbook for advanced students of mathematics, computer science, and logic.
Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.1/5 (926 download)
Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Author :
Publisher :
ISBN 13 : 9781575862712
Total Pages : 457 pages
Book Rating : 4.8/5 (627 download)
Download or read book Advances in Modal Logic written by and published by . This book was released on 1998 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Aberdein
Publisher : Bloomsbury Publishing
ISBN 13 : 1350217956
Total Pages : 293 pages
Book Rating : 4.3/5 (52 download)
Download or read book Advances in Experimental Philosophy of Logic and Mathematics written by Andrew Aberdein and published by Bloomsbury Publishing. This book was released on 2021-01-28 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the results of applying empirical methods to the philosophy of logic and mathematics. Much of the work that has earned experimental philosophy a prominent place in twenty-first century philosophy is concerned with ethics or epistemology. But, as this book shows, empirical methods are just as much at home in logic and the philosophy of mathematics. Chapters demonstrate and discuss the applicability of a wide range of empirical methods including experiments, surveys, interviews, and data-mining. Distinct themes emerge that reflect recent developments in the field, such as issues concerning the logic of conditionals and the role played by visual elements in some mathematical proofs. Featuring leading figures from experimental philosophy and the fields of philosophy of logic and mathematics, this collection reveals that empirical work in these disciplines has been quietly thriving for some time and stresses the importance of collaboration between philosophers and researchers in mathematics education and mathematical cognition.
Author : Kanupriya Gulati
Publisher : Springer Science & Business Media
ISBN 13 : 1441975187
Total Pages : 423 pages
Book Rating : 4.4/5 (419 download)
Download or read book Advanced Techniques in Logic Synthesis, Optimizations and Applications written by Kanupriya Gulati and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent advances in the field of logic synthesis and design, including Boolean Matching, Logic Decomposition, Boolean satisfiability, Advanced Synthesis Techniques and Applications of Logic Design. All of these topics are valuable to CAD engineers working in Logic Design, Logic Optimization, and Verification. Engineers seeking opportunities for optimizing VLSI integrated circuits will find this book as an invaluable reference, since there is no existing book that covers this material in a systematic fashion.
Author : Harry J. Gensler
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.4/5 (91 download)
Download or read book Symbolic Logic written by Harry J. Gensler and published by . This book was released on 1990 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Toshiyasu Arai
Publisher : Springer Nature
ISBN 13 : 9811641730
Total Pages : 232 pages
Book Rating : 4.8/5 (116 download)
Download or read book Advances in Mathematical Logic written by Toshiyasu Arai and published by Springer Nature. This book was released on 2022-01-24 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gaisi Takeuti was one of the most brilliant, genius, and influential logicians of the 20th century. He was a long-time professor and professor emeritus of mathematics at the University of Illinois at Urbana-Champaign, USA, before he passed away on May 10, 2017, at the age of 91. Takeuti was one of the founders of Proof Theory, a branch of mathematical logic that originated from Hilbert's program about the consistency of mathematics. Based on Gentzen's pioneering works of proof theory in the 1930s, he proposed a conjecture in 1953 concerning the essential nature of formal proofs of higher-order logic now known as Takeuti's fundamental conjecture and of which he gave a partial positive solution. His arguments on the conjecture and proof theory in general have had great influence on the later developments of mathematical logic, philosophy of mathematics, and applications of mathematical logic to theoretical computer science. Takeuti's work ranged over the whole spectrum of mathematical logic, including set theory, computability theory, Boolean valued analysis, fuzzy logic, bounded arithmetic, and theoretical computer science. He wrote many monographs and textbooks both in English and in Japanese, and his monumental monograph Proof Theory, published in 1975, has long been a standard reference of proof theory. He had a wide range of interests covering virtually all areas of mathematics and extending to physics. His publications include many Japanese books for students and general readers about mathematical logic, mathematics in general, and connections between mathematics and physics, as well as many essays for Japanese science magazines. This volume is a collection of papers based on the Symposium on Advances in Mathematical Logic 2018. The symposium was held September 18–20, 2018, at Kobe University, Japan, and was dedicated to the memory of Professor Gaisi Takeuti.
Author : Herbert B. Enderton
Publisher : Elsevier
ISBN 13 : 0080496466
Total Pages : 330 pages
Book Rating : 4.0/5 (84 download)
Download or read book A Mathematical Introduction to Logic written by Herbert B. Enderton and published by Elsevier. This book was released on 2001-01-23 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Introduction to Logic
Author : Wei Li
Publisher : Springer Science & Business Media
ISBN 13 : 3764399775
Total Pages : 273 pages
Book Rating : 4.7/5 (643 download)
Download or read book Mathematical Logic written by Wei Li and published by Springer Science & Business Media. This book was released on 2010-02-26 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds of language environments for theories and it presents the basic properties required of a meta-language environment. Finally, the book brings these themes together by describing a workflow for scientific research in the information era in which formal methods, interactive software and human invention are all used to their advantage. This book represents a valuable reference for graduate and undergraduate students and researchers in mathematics, information science and technology, and other relevant areas of natural sciences. Its first five chapters serve as an undergraduate text in mathematical logic and the last five chapters are addressed to graduate students in relevant disciplines.
Author : Paul A. Gregory
Publisher : Broadview Press
ISBN 13 : 1770485945
Total Pages : 474 pages
Book Rating : 4.7/5 (74 download)
Download or read book Formal Logic written by Paul A. Gregory and published by Broadview Press. This book was released on 2017-04-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.
Author : Raymond M. Smullyan
Publisher : Knopf
ISBN 13 : 0307962466
Total Pages : 286 pages
Book Rating : 4.3/5 (79 download)
Download or read book Forever Undecided written by Raymond M. Smullyan and published by Knopf. This book was released on 2012-07-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!
