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Logic as a Tool

Author: Valentin Goranko

Publisher: John Wiley & Sons

Published: 2016-09-02

Total Pages: 384

ISBN-13: 1118880048

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

An Invitation to Formal Reasoning

Author: Fred Sommers

Publisher: Routledge

Published: 2017-03-02

Total Pages: 229

ISBN-13: 1351958607

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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.

Cognitive Science

Author: Bruno G. Bara

Publisher: Routledge

Published: 2016-07-07

Total Pages: 381

ISBN-13: 1317277562

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Originally published in 1995, this book is about the conduct of cognitive science rather than what cognitive science is. It has three main objectives. First, it describes the birth of cognitive science. Second, it outlines the method of enquiry which characterises and defines cognitive science. This method uses the techniques of artificial intelligence based on the assumption that mental activity can, in principle, be reproduced by a computer program. Third, the book describes the state of the art in relevant areas, with particular attention to application fields such as pedagogics, human–machine interaction, and psychotherapy. The developmental approach is emphasised and highlights the fact that developmental aspects are essential in order to comprehend the steady mode of functioning achieved once a person has reached total maturity. Cognitive science is not presented as a definitive method for the analysis of the mind, though the author’s conclusion is that it is the best of all possible methods today. At the time of publication this book would have been useful as an advanced textbook for students on courses specialising in cognitive science, and as a source of further information for those working in related areas such as cognitive psychology, linguistics, and computer science. It will still be of interest to experts and students in the field of cognitive science.

Dialectical Practice in Tibetan Philosophical Culture

Author: Kenneth Liberman

Publisher: Rowman & Littlefield Publishers

Published: 2007-09-26

Total Pages: 338

ISBN-13: 0742576868

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Tibetan Buddhist scholar-monks have long engaged in face-to-face public philosophical debates. This original study challenges Orientalist text-based scholarship, which has overlooked these lived practices of Tibetan dialectics. Kenneth Liberman brings these dynamic disputations to life for the modern reader through a richly detailed, turn-by-turn analysis of the monks' formal philosophical reasoning. He argues that Tibetan Buddhists deliberately organize their debates into formal structures that both empower and constrain thinking, skillfully using logic as an interactional tool to organize their reflections. During his three years in residence at Tibetan monastic universities, Liberman observed and videotaped the monks' debates. He then transcribed, translated, and analyzed them using multimedia software and ethnomethodological techniques, which enabled him to scrutinize the local methods that Tibetan debaters use to keep their philosophical inquiries alive. His study shows the monks rely on such indigenous dialectical methods as extending an opponent's position to its absurd consequences, "pulling the rug out" from under an opponent, and other lively strategies. This careful investigation of the formal philosophical work of Tibetan scholars is a pathbreaking analysis of an important classical tradition.

The Influence of Personality, Curriculum, and Memory Correlates on Formal Reasoning in Young Adults and Elderly Persons

Author: James Arthur Blackburn

Publisher:

Published: 1980

Total Pages: 340

ISBN-13:

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A Tool to Support Formal Reasoning about Computer Languages

Author: Richard Boulton

Publisher:

Published: 1996

Total Pages: 32

ISBN-13:

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Abstract: "A tool to support formal reasoning about computer languages and specific language texts is described. The intention is to provide a tool that can build a formal reasoning system in a mechanical theorem prover from two specifications, one for the syntax of the language and one for the semantics. A parser, pretty-printer and internal representations are generated from the former. Logical representations of syntax and semantics, and associated theorem proving tools, are generated from the combination of the two specifications. The main aim is to eliminate tedious work from the task of prototyping a reasoning tool for a computer language, but the abstract specifications of the language also assist the automation of proof."

Encyclopedia of Creativity: A-H

Author: Mark A. Runco

Publisher: Elsevier

Published: 1999

Total Pages: 873

ISBN-13: 0122270762

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This encyclopaedia provides specific information and guidance for everyone who is searching for a greater understanding the text includes theories of creativity, techniques for enhancing creativity and individuals who have contributed to creativity.

Formal Methods for Components and Objects

Author: Frank S. de Boer

Publisher: Springer Science & Business Media

Published: 2005-09-19

Total Pages: 332

ISBN-13: 3540291318

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Formal methods have been applied successfully to the verification of medium-sized programs in protocol and hardware design. However, their application to the development of large systems requires more emphasis on specification, modelling and validation techniques supporting the concepts of reusability and modifiability, and their implementation in new extensions of existing programming languages. This book presents revised tutorial lectures given by invited speakers at the Third International Symposium on Formal Methods for Components and Objects, FMCO 2004, held in Leiden, The Netherlands, in November 2004. The 14 revised lectures by leading researchers present a comprehensive account of the potential of formal methods applied to large and complex software systems such as component-based systems and object systems. The book provides an unique combination of ideas on software engineering and formal methods that reflect the expanding body of knowledge on modern software systems.

Formal Correctness of Security Protocols

Author: Giampaolo Bella

Publisher: Springer Science & Business Media

Published: 2007-05-27

Total Pages: 281

ISBN-13: 3540681361

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The author investigates proofs of correctness of realistic security protocols in a formal, intuitive setting. The protocols examined include Kerberos versions, smartcard protocols, non-repudiation protocols, and certified email protocols. The method of analysis turns out to be both powerful and flexible. This research advances significant extensions to the method of analysis, while the findings on the protocols analysed are novel and illuminating.

A Love of Discovery

Author: Robert G. Fuller

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 351

ISBN-13: 9400708769

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Robert Karplus, a professor of physics at the University of California, Berkeley, USA, became a leader in the movement to reform elementary school science in the 1960s. This book selects the enduring aspects of his work and presents them for the scientists and science educators of today. In an era when `science education for ALL students' has become the clarion call, the insights and works of Robert Karplus are as relevant now as they were in the 1960s, '70s, and '80s. This book tries to capture the essence of his life and work and presents selections of his published articles in a helpful context.