Logic From A To Z

Author : John B. Bacon
Publisher : Routledge
ISBN 13 : 1134970978
Total Pages : 125 pages
Book Rating : 4.71/5 ( download)

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Download or read book Logic from A to Z written by John B. Bacon and published by Routledge. This book was released on 2013-09-05 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of: * Logic: Argument, Turing Machine, Variable * Set and model theory: Isomorphism, Function * Computability theory: Algorithm, Turing Machine * Plus a table of logical symbols. Extensively cross-referenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.

Author : John B. Bacon
Publisher : Routledge
ISBN 13 : 1134971044
Total Pages : 126 pages
Book Rating : 4.46/5 ( download)

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Download or read book Logic from A to Z written by John B. Bacon and published by Routledge. This book was released on 2013-09-05 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in the most ambitious international philosophy project for a generation; the Routledge Encyclopedia of Philosophy. Logic from A to Z is a unique glossary of terms used in formal logic and the philosophy of mathematics. Over 500 entries include key terms found in the study of: * Logic: Argument, Turing Machine, Variable * Set and model theory: Isomorphism, Function * Computability theory: Algorithm, Turing Machine * Plus a table of logical symbols. Extensively cross-referenced to help comprehension and add detail, Logic from A to Z provides an indispensable reference source for students of all branches of logic.

Author : Hugh MacColl
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.61/5 ( download)

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Download or read book Symbolic Logic and Its Applications written by Hugh MacColl and published by . This book was released on 1906 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Gennaro Auletta
Publisher : CRC Press
ISBN 13 : 9814411507
Total Pages : 402 pages
Book Rating : 4.09/5 ( download)

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Download or read book Mechanical Logic in Three-Dimensional Space written by Gennaro Auletta and published by CRC Press. This book was released on 2013-10-24 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores how build a mechanical inferences by making use of arithmetic operations on a string of numbers representing statements. In this way logic is reduced to a branch of the combinatory calculus. It covers the field of traditional logic by showing that any kind of inference can be mechanically reduced to three-variables and two-premise inferences. Meriological inferences can also be easily treated in this way. The book covers the following subjects: structural description of space; three-variable inferences through products, sums, subtractions, and divisions; generalization to n variables; relations; and applications.

Author : Richard E. Hodel
Publisher : Courier Corporation
ISBN 13 : 0486497852
Total Pages : 514 pages
Book Rating : 4.53/5 ( download)

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Download or read book An Introduction to Mathematical Logic written by Richard E. Hodel and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

Author : Rod G. Downey
Publisher : World Scientific
ISBN 13 : 9812700455
Total Pages : 329 pages
Book Rating : 4.52/5 ( download)

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Download or read book Mathematical Logic in Asia written by Rod G. Downey and published by World Scientific. This book was released on 2006 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the main areas of mathematical logic and applications to computer science. There are articles on weakly o-minimal theories, algorithmic complexity of relations, models within the computable model theory, hierarchies of randomness tests, computable numberings, and complexity problems of minimal unsatisfiable formulas. The problems of characterization of the deduction-detachment theorem, ?1-induction, completeness of Le?niewski's systems, and reduction calculus for the satisfiability problem are also discussed.The coverage includes the answer to Kanovei's question about the upper bound for the complexity of equivalence relations by convergence at infinity for continuous functions. The volume also gives some applications to computer science such as solving the problems of inductive interference of languages from the full collection of positive examples and some negative data, the effects of random negative data, methods of formal specification and verification on the basis of model theory and multiple-valued logics, interval fuzzy algebraic systems, the problems of information exchange among agents on the base topological structures, and the predictions provided by inductive theories.

Author : Fred Kröger
Publisher : Springer Science & Business Media
ISBN 13 : 3642715494
Total Pages : 150 pages
Book Rating : 4.95/5 ( download)

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Download or read book Temporal Logic of Programs written by Fred Kröger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the temporal logic of - in particular paral- lel - programs.Divided into three main parts: - Presenta- tion of the pure temporal logic: language, semantics, and proof theory; - Representation of programs and their proper- ties within the language of temporal logic; - Application of the logical apparatus to the verification of program proper- ties including a new embedding of Hoare's logic into the temporal framework.

Author : Harry J. Gensler
Publisher : Rowman & Littlefield
ISBN 13 : 0810875969
Total Pages : 354 pages
Book Rating : 4.68/5 ( download)

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Download or read book The A to Z of Logic written by Harry J. Gensler and published by Rowman & Littlefield. This book was released on 2010 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The A to Z of Logic introduces the central concepts of the field in a series of brief, non-technical, cross-referenced dictionary entries. The 352 alphabetically arranged entries give a clear, basic introduction to a very broad range of logical topics. Entries can be found on deductive systems, such as propositional logic, modal logic, deontic logic, temporal logic, set theory, many-valued logic, mereology, and paraconsistent logic. Similarly, there are entries on topics relating to those previously mentioned such as negation, conditionals, truth tables, and proofs. Historical periods and figures are also covered, including ancient logic, medieval logic, Buddhist logic, Aristotle, Ockham, Boole, Frege, Russell, Gödel, and Quine. There are even entries relating logic to other areas and topics, like biology, computers, ethics, gender, God, psychology, metaphysics, abstract entities, algorithms, the ad hominem fallacy, inductive logic, informal logic, the liar paradox, metalogic, philosophy of logic, and software for learning logic. In addition to the dictionary, there is a substantial chronology listing the main events in the history of logic, an introduction that sketches the central ideas of logic and how it has evolved into what it is today, and an extensive bibliography of related readings. This book is not only useful for specialists but also understandable to students and other beginners in the field.

Author : Wang Hao
Publisher : Springer Science & Business Media
ISBN 13 : 9400923562
Total Pages : 394 pages
Book Rating : 4.60/5 ( download)

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Download or read book Computation, Logic, Philosophy written by Wang Hao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~Et moi ... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author : N.M. Martin
Publisher : Springer Science & Business Media
ISBN 13 : 147572506X
Total Pages : 241 pages
Book Rating : 4.63/5 ( download)

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Download or read book Closure Spaces and Logic written by N.M. Martin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved (closure space), as a generalization of Frechet's concept V-space. V-spaces have been used in some developments of general topology as a generalization of topological space. Indeed, when in the early '50s, one of us started thinking about closure spaces, we thought ofit as the generalization of Frechet V space which comes from not requiring the null set to be CLOSURE SPACES ANDLOGIC XlI closed(as it is in V-spaces). This generalization has an extreme advantage in connection with application to logic, since the most important closure notion in logic, deductive closure, in most cases does not generate a V-space, since the closure of the null set typically consists of the "logical truths" of the logic being examined.