Logic With Added Reasoning
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Logic As A Tool
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Author : Valentin Goranko
language : en
Publisher: John Wiley & Sons
Release Date : 2016-10-17
Logic As A Tool written by Valentin Goranko and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-17 with Mathematics categories.
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
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Author : Fred Sommers
language : en
Publisher: Taylor & Francis
Release Date : 2017-03-02
An Invitation To Formal Reasoning written by Fred Sommers and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Philosophy categories.
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.
How Logic Works
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Author : Hans Halvorson
language : en
Publisher: Princeton University Press
Release Date : 2020-09
How Logic Works written by Hans Halvorson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09 with Philosophy categories.
Logic for humans -- Deducing -- Supposing -- New proofs from old -- Truth -- Quantifying -- Theories -- Models -- A theory about propositional logic -- A theory about predicate logic -- Beyond logic.
Boolean Reasoning
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Author : Frank Markham Brown
language : en
Publisher: Courier Corporation
Release Date : 2012-02-10
Boolean Reasoning written by Frank Markham Brown and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-10 with Mathematics categories.
Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.
Subjective Logic
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Author : Audun Jøsang
language : en
Publisher: Springer
Release Date : 2016-10-27
Subjective Logic written by Audun Jøsang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Computers categories.
This is the first comprehensive treatment of subjective logic and all its operations. The author developed the approach, and in this book he first explains subjective opinions, opinion representation, and decision-making under vagueness and uncertainty, and he then offers a full definition of subjective logic, harmonising the key notations and formalisms, concluding with chapters on trust networks and subjective Bayesian networks, which when combined form general subjective networks. The author shows how real-world situations can be realistically modelled with regard to how situations are perceived, with conclusions that more correctly reflect the ignorance and uncertainties that result from partially uncertain input arguments. The book will help researchers and practitioners to advance, improve and apply subjective logic to build powerful artificial reasoning models and tools for solving real-world problems. A good grounding in discrete mathematics is a prerequisite.
Visual Reasoning With Diagrams
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Author : Amirouche Moktefi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-08
Visual Reasoning With Diagrams written by Amirouche Moktefi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-08 with Mathematics categories.
Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell. Recently, we have been witnessing a revival of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic - the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning.
Handbook Of Modal Logic
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Author : Patrick Blackburn
language : en
Publisher: Elsevier
Release Date : 2006-11-03
Handbook Of Modal Logic written by Patrick Blackburn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-03 with Mathematics categories.
The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth
Handbook Of Practical Logic And Automated Reasoning
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Author : John Harrison
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-12
Handbook Of Practical Logic And Automated Reasoning written by John Harrison and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-12 with Computers categories.
A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.
Reasoning And The Logic Of Things
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Author : Charles Sanders Peirce
language : en
Publisher: Harvard University Press
Release Date : 1992
Reasoning And The Logic Of Things written by Charles Sanders Peirce and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Philosophy categories.
Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.
Logic With Added Reasoning
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Author : Michael Gabbay
language : en
Publisher: Broadview Press
Release Date : 2002-09-04
Logic With Added Reasoning written by Michael Gabbay and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-04 with Philosophy categories.
This concise text treats logic as a tool, “generated so that half the work involved in thinking is done for you by somebody else (the rules and laws of the logic).” Gabbay explains in a clear and careful manner how formal features of, and formal relations between, ordinary declarative sentences are captured by the systems of propositional and predicate logic.