Logic Language And Reasoning

Author : Valentin Goranko
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 43,7 Mb
Release : 2016-09-02
Category : Mathematics
ISBN : 9781118880043

Get Book

Logic as a Tool by Valentin Goranko Pdf

Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com

Author : Hans Jurgen Ohlbach,Uwe Reyle
Publisher : Unknown
Page : 444 pages
File Size : 46,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 940114575X

Get Book

Logic, Language and Reasoning by Hans Jurgen Ohlbach,Uwe Reyle Pdf

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 44,6 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431

Get Book

A Concise Introduction to Logic by Craig DeLancey Pdf

Author : Peter M. Schuster,Monika Seisenberger,Andreas Weiermann
Publisher : Springer Nature
Page : 391 pages
File Size : 46,5 Mb
Release : 2020-01-01
Category : Philosophy
ISBN : 9783030302290

Get Book

Well-Quasi Orders in Computation, Logic, Language and Reasoning by Peter M. Schuster,Monika Seisenberger,Andreas Weiermann Pdf

This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.

Author : Rodger L. Jackson,Melanie L. McLeod
Publisher : Broadview Press
Page : 354 pages
File Size : 44,5 Mb
Release : 2014-11-04
Category : Philosophy
ISBN : 9781460402788

Get Book

The Logic of Our Language by Rodger L. Jackson,Melanie L. McLeod Pdf

The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.

Author : Wolfgang Schreiner
Publisher : Springer Nature
Page : 660 pages
File Size : 40,7 Mb
Release : 2021-10-22
Category : Mathematics
ISBN : 9783030805074

Get Book

Thinking Programs by Wolfgang Schreiner Pdf

This book describes some basic principles that allow developers of computer programs (computer scientists, software engineers, programmers) to clearly think about the artifacts they deal with in their daily work: data types, programming languages, programs written in these languages that compute from given inputs wanted outputs, and programs that describe continuously executing systems. The core message is that clear thinking about programs can be expressed in a single universal language, the formal language of logic. Apart from its universal elegance and expressiveness, this “logical” approach to the formal modeling of and reasoning about computer programs has another advantage: due to advances in computational logic (automated theorem proving, satisfiability solving, model checking), nowadays much of this process can be supported by software. This book therefore accompanies its theoretical elaborations by practical demonstrations of various systems and tools that are based on respectively make use of the presented logical underpinnings.

Author : Ángel Nepomuceno-Fernández,Lorenzo Magnani,Francisco J. Salguero-Lamillar,Cristina Barés-Gómez,Matthieu Fontaine
Publisher : Springer Nature
Page : 502 pages
File Size : 52,6 Mb
Release : 2019-10-24
Category : Philosophy
ISBN : 9783030327224

Get Book

Model-Based Reasoning in Science and Technology by Ángel Nepomuceno-Fernández,Lorenzo Magnani,Francisco J. Salguero-Lamillar,Cristina Barés-Gómez,Matthieu Fontaine Pdf

This book discusses how scientific and other types of cognition make use of models, abduction, and explanatory reasoning in order to produce important and innovative changes in theories and concepts. Gathering revised contributions presented at the international conference on Model-Based Reasoning (MBR18), held on October 24–26 2018 in Seville, Spain, the book is divided into three main parts. The first focuses on models, reasoning, and representation. It highlights key theoretical concepts from an applied perspective, and addresses issues concerning information visualization, experimental methods, and design. The second part goes a step further, examining abduction, problem solving, and reasoning. The respective papers assess different types of reasoning, and discuss various concepts of inference and creativity and their relationship with experimental data. In turn, the third part reports on a number of epistemological and technological issues. By analyzing possible contradictions in modern research and describing representative case studies, this part is intended to foster new discussions and stimulate new ideas. All in all, the book provides researchers and graduate students in the fields of applied philosophy, epistemology, cognitive science, and artificial intelligence alike with an authoritative snapshot of the latest theories and applications of model-based reasoning.

Author : Hans Jürgen Ohlbach,U. Reyle
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401145749

Get Book

Logic, Language and Reasoning by Hans Jürgen Ohlbach,U. Reyle Pdf

th This volume is dedicated to Dov Gabbay who celebrated his 50 birthday in October 1995. Dov is one of the most outstanding and most productive researchers we have ever met. He has exerted a profound influence in major fields of logic, linguistics and computer science. His contributions in the areas of logic, language and reasoning are so numerous that a comprehensive survey would already fill half of this book. Instead of summarizing his work we decided to let him speak for himself. Sitting in a car on the way to Amsterdam airport he gave an interview to Jelle Gerbrandy and Anne-Marie Mineur. This recorded conversation with him, which is included gives a deep insight into his motivations and into his view of the world, the Almighty and, of course, the role of logic. In addition, this volume contains a partially annotated bibliography of his main papers and books. The length of the bibliography and the broadness of the topics covered there speaks for itself.

Author : Bradley Harris Dowden
Publisher : Bradley Dowden
Page : 516 pages
File Size : 49,8 Mb
Release : 1993
Category : Critical thinking
ISBN : 0534176887

Get Book

Logical Reasoning by Bradley Harris Dowden Pdf

This book is designed to engage students' interest and promote their writing abilities while teaching them to think critically and creatively. Dowden takes an activist stance on critical thinking, asking students to create and revise arguments rather than simply recognizing and criticizing them. His book emphasizes inductive reasoning and the analysis of individual claims in the beginning, leaving deductive arguments for consideration later in the course.

Author : Fred Sommers,George Englebretsen
Publisher : Routledge
Page : 229 pages
File Size : 50,8 Mb
Release : 2017-03-02
Category : Philosophy
ISBN : 9781351958608

Get Book

An Invitation to Formal Reasoning by Fred Sommers,George Englebretsen Pdf

An Invitation to Formal Reasoning introduces the discipline of formal logic by means of a powerful new system formulated by Fred Sommers. This system, term logic, is different in a number of ways from the standard system employed in modern logic; most striking is its greater simplicity and naturalness. Based on a radically different theory of logical syntax than the one Frege used when initiating modern mathematical logic in the 19th Century, term logic borrows insights from Aristotle's syllogistic, Scholastic logicians, Leibniz, and the 19th century British algebraists. Term logic takes its syntax directly from natural language, construing statements as combinations of pairs of terms, where complex terms are taken to have the same syntax as statements. Whereas standard logic requires extensive 'translation' from natural language to symbolic language, term logic requires only 'transcription' into the symbolic language. Its naturalness is the result of its ability to stay close to the forms of sentences usually found in every day discourse. Written by the founders of the term logic approach, An Invitation to Formal Reasoning is a unique introduction and exploration of this new system, offering numerous exercises and examples throughout the text. Summarising the standard system of mathematical logic to set term logic in context, and showing how the two systems compare, this book presents an alternative approach to standard modern logic for those studying formal logic, philosophy of language or computer theory. Fred Sommers is Professor Emeritus, Brandeis University, USA; George Englebretsen is Professor of Philosophy, Bishop's University, Canada.

Author : Walter Carnielli,Marcelo Coniglio,Dov M. Gabbay,Paula Gouveia,Cristina Sernadas
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 53,9 Mb
Release : 2008-01-22
Category : Mathematics
ISBN : 9781402067822

Get Book

Analysis and Synthesis of Logics by Walter Carnielli,Marcelo Coniglio,Dov M. Gabbay,Paula Gouveia,Cristina Sernadas Pdf

Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.

Author : John Harrison
Publisher : Cambridge University Press
Page : 703 pages
File Size : 41,8 Mb
Release : 2009-03-12
Category : Computers
ISBN : 9780521899574

Get Book

Handbook of Practical Logic and Automated Reasoning by John Harrison Pdf

A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Author : Deborah J. Bennett
Publisher : W. W. Norton & Company
Page : 256 pages
File Size : 46,7 Mb
Release : 2005-07-17
Category : Philosophy
ISBN : 9780393347616

Get Book

Logic Made Easy: How to Know When Language Deceives You by Deborah J. Bennett Pdf

"The best introduction to logic you will find."—Martin Gardner "Professor Bennett entertains as she instructs," writes Publishers Weekly about the penetrating yet practical Logic Made Easy. This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete with puzzles you can try yourself, Logic Made Easy invites readers to identify and ultimately remedy logical slips in everyday life. Designed with dozens of visual examples, the book guides you through those hair-raising times when logic is at odds with our language and common sense. Logic Made Easy is indeed one of those rare books that will actually make you a more logical human being.

Author : R. E. Houser
Publisher : Catholic University of America Press
Page : 481 pages
File Size : 45,9 Mb
Release : 2019-12-10
Category : Philosophy
ISBN : 9780813232348

Get Book

Logic as a Liberal Art by R. E. Houser Pdf

In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.

Author : Valentin Goranko
Publisher : John Wiley & Sons
Page : 386 pages
File Size : 51,9 Mb
Release : 2016-10-17
Category : Mathematics
ISBN : 9781118880005

Get Book

Logic as a Tool by Valentin Goranko Pdf

Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com