Propositional Logics 3rd Edition

Author : Richard L Epstein
Publisher : Advanced Reasoning Forum
Page : 509 pages
File Size : 46,9 Mb
Release : 2018-11-05
Category : Philosophy
ISBN : 9780983452171

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Propositional Logics 3rd edition by Richard L Epstein Pdf

This book presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum: as the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.

Author : Richard L. Epstein
Publisher : Unknown
Page : 510 pages
File Size : 40,6 Mb
Release : 2012-06-01
Category : Mathematics
ISBN : 0983452164

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Propositional Logics by Richard L. Epstein Pdf

Propositional Logics presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum. As the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.

Author : Howard Pospesel
Publisher : Unknown
Page : 211 pages
File Size : 53,8 Mb
Release : 1974
Category : Electronic
ISBN : OCLC:313491277

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Introduction to Logic by Howard Pospesel Pdf

Author : Genesereth Michael,Kao Eric
Publisher : Springer Nature
Page : 155 pages
File Size : 53,9 Mb
Release : 2013-08-16
Category : Mathematics
ISBN : 9783031017995

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Introduction to Logic, Second Edition by Genesereth Michael,Kao Eric Pdf

This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at logic.stanford.edu/intrologic/

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447103356

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Mathematical Logic for Computer Science by Mordechai Ben-Ari Pdf

This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.

Author : Genesereth Michael,Kao Eric J.
Publisher : Springer Nature
Page : 163 pages
File Size : 40,7 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031018015

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Introduction to Logic, Third Edition by Genesereth Michael,Kao Eric J. Pdf

This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at http://intrologic.stanford.edu/

Author : Howard Pospesel
Publisher : Prentice Hall
Page : 228 pages
File Size : 50,5 Mb
Release : 1974
Category : Mathematics
ISBN : PSU:000012773329

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Propositional Logic by Howard Pospesel Pdf

Author : R.L. Epstein
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 54,6 Mb
Release : 2013-11-11
Category : Philosophy
ISBN : 9789400905252

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The Semantic Foundations of Logic Volume 1: Propositional Logics by R.L. Epstein Pdf

This book grew out of my confusion. If logic is objective how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic which I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the perception that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value. For you to understand my answers, or perhaps better, conjectures, I have retraced my steps: from the concrete to the abstract, from examples, to general theory, to further confirming examples, to reflections on the significance of the work.

Author : Rowan Garnier,John Taylor
Publisher : CRC Press
Page : 847 pages
File Size : 49,7 Mb
Release : 2009-11-09
Category : Mathematics
ISBN : 9781439812808

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Discrete Mathematics by Rowan Garnier,John Taylor Pdf

Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content. New to the Third Edition In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data. This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.

Author : Susmita Bandyopadhyay
Publisher : CRC Press
Page : 395 pages
File Size : 50,9 Mb
Release : 2023-03-13
Category : Business & Economics
ISBN : 9781000845709

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Decision Support System by Susmita Bandyopadhyay Pdf

Discusses all the major tools and techniques for Decision Support System supported by examples Techniques are explained considering their deterministic and stochastic aspects Covers network tools including GERT and Q-GERT Explains application of both probability and fuzzy orientation in the pertinent techniques Includes a number of relevant case studies along with a dedicated chapter on software

Author : Dana Richards,Henry Hamburger
Publisher : World Scientific
Page : 497 pages
File Size : 51,5 Mb
Release : 2023-01-19
Category : Computers
ISBN : 9789811260681

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Logic And Language Models For Computer Science (Fourth Edition) by Dana Richards,Henry Hamburger Pdf

This unique compendium highlights the theory of computation, particularly logic and automata theory. Special emphasis is on computer science applications including loop invariants, program correctness, logic programming and algorithmic proof techniques.This innovative volume differs from standard textbooks, by building on concepts in a different order, using fewer theorems with simpler proofs. It has added many new examples, problems and answers. It can be used as an undergraduate text at most universities.

Author : 3rd Edition,James B. Nance
Publisher : Unknown
Page : 128 pages
File Size : 40,9 Mb
Release : 2014-06-04
Category : Education
ISBN : 1591281660

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Intermediate Logic Student Tex by 3rd Edition,James B. Nance Pdf

Studying formal logic can be intimidating without the right help, but knowing how to think logically isn't just for "experts." Logic should be your secret weapon. It's the tool for learning how to use other tools. It's the bones that give a clenched fist its structure (and knuckles). With that in mind, we have painstakingly designed Intermediate Logic for everyday students, teachers, and parents who've never used truth tables or formal proofs of validity to work with syllogisms, but who know just how important and applicable learning logic is. In Intermediate Logic, you'll get the benefit of Jim Nance's twenty years of experience to help you master propositional arguments. Brand new, clean, easy-to-read layout, lots of margin notes for key points and further study, a step-by-step modern method, and exercises for every lesson (plus review questions and review exercises for every unit) all make Intermediate Logic the perfect choice for a logic course.

Author : Witold A. Pogorzelski,Piotr Wojtylak
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 43,8 Mb
Release : 2008-05-25
Category : Mathematics
ISBN : 9783764385187

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Completeness Theory for Propositional Logics by Witold A. Pogorzelski,Piotr Wojtylak Pdf

This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. This approach allows also for a more profound view upon some essential properties of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.

Author : Avicenna
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401026246

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The Propositional Logic of Avicenna by Avicenna Pdf

The main purpose of this work is to provide an English translation of and commentary on a recently published Arabic text dealing with con ditional propositions and syllogisms. The text is that of A vicenna (Abu represents his views on the subject as they were held throughout his life.

Author : Richard T.W. Arthur
Publisher : Broadview Press
Page : 450 pages
File Size : 51,9 Mb
Release : 2016-11-30
Category : Philosophy
ISBN : 9781770486485

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An Introduction to Logic - Second Edition by Richard T.W. Arthur Pdf

In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python. A previous edition of this book appeared under the title Natural Deduction. This new edition adds clarifications of the notions of explanation, validity and formal validity, a more detailed discussion of derivation strategies, and another rule of inference, Reiteration.