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Logic With Trees

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Logic With Trees

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Author : Colin Howson
language : en
Publisher: Routledge
Release Date : 2005-10-11

Logic With Trees written by Colin Howson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-11 with Philosophy categories.

Logic With Trees is a new and original introduction to modern formal logic. Unlike most texts, it also contains discussions on more philosophical issues such as truth, conditionals and modal logic. It presents the formal material with clarity, preferring informal explanations and arguments to intimidatingly rigorous development. Worked examples and excercises enable the readers to check their progress. Logic With Trees equips students with * a complete and clear account of the truth-tree system for first order logic * the importance of logic and its relevance to many different disciplines * the skills to grasp sophisticated formal reasoning techniques necessary to explore complex metalogic * the ability to contest claims that `ordinary' reasoning is well represented by formal first order logic The issues covered include a thorough discussion of truth-functional and full first order logic, using the truth-tree or semantic tableau approach. Completeness and Soundness proofs are given for both truth-functional and first order trees. Much use is made of induction, which is presented in a clear and consistent manner. There is also discussion of alternative deductive systems, an introduction to transfinite numbers and categoricity, the Lowenhein-Skolem theories and the celebrated findings of Godel and Church. The book concludes with an account of Kripke's attempted solution of the liar paradox and a discussion of the weakness of truth-functional account of conditionals. Particularly useful to those who favour critical accounts of formal reasoning, it will be of interest to students of philosophy at first level and beyond and also students of mathematics and computer science.

Logic With Trees

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Author : Colin Howson
language : en
Publisher: Routledge
Release Date : 2005-10-11

The Logic Of Our Language

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Author : Rodger L. Jackson
language : en
Publisher: Broadview Press
Release Date : 2014-11-04

The Logic Of Our Language written by Rodger L. Jackson and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-04 with Philosophy categories.

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.

Arguments Arrows Trees And Truth

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Author : Harlan B. Miller
language : en
Publisher:
Release Date : 1980-09-01

Arguments Arrows Trees And Truth written by Harlan B. Miller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-09-01 with Language and logic categories.

Sequents And Trees

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Author : Andrzej Indrzejczak
language : en
Publisher: Springer Nature
Release Date : 2020-12-16

Sequents And Trees written by Andrzej Indrzejczak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Mathematics categories.

This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus. After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, and applied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics. Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.

The Logical Thinking Process

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Author : H. William Dettmer
language : en
Publisher: Quality Press
Release Date : 2007-05-24

The Logical Thinking Process written by H. William Dettmer and has been published by Quality Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-24 with Business & Economics categories.

A major rewrite of Dettmer's classic Goldratt's Theory of Constraints, this new edition presents a whole new approach to building and applying logic trees. The logical thinking process referred to in the title is nothing less than a broadly applicable, systems-level approach to policy analysis. Dettmer has streamlined the process of constructing the logic trees while simultaneously ensuring that the results are more logically sound and closer representations of reality than ever before. He explains an easier, more logically sound way to integrate Current Reality Trees with Evaporating Clouds. His new version of the thinking process "retires" the Transition Tree in favor of the marriage of a more detailed Prerequisite Tree and critical chain project management. This book contains new examples of logic trees from a variety of real-world applications. Most of the diagrams and illustrations are new and improved. Explanations and procedures for constructing the logic trees are considerably simplified.

Symbolic Logic

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Author : David W. Agler
language : en
Publisher: Rowman & Littlefield
Release Date : 2013

Symbolic Logic written by David W. Agler and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

The Logic Book

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Author : Merrie Bergmann
language : en
Publisher: McGraw-Hill Humanities, Social Sciences & World Languages
Release Date : 1998

The Logic Book written by Merrie Bergmann and has been published by McGraw-Hill Humanities, Social Sciences & World Languages this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Logic, Symbolic and mathematical categories.

This work presents all techniques and concepts in logic, with comprehensive explanations and examples. Areas covered include semantics, truth trees, derivations, metatheory, natural deduction and tree methods of proof.

Linguistics Logic And Finite Trees

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Author : Patrick Blackburn
language : nl
Publisher:
Release Date : 1993

Linguistics Logic And Finite Trees written by Patrick Blackburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computational linguistics categories.

How Logic Works

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Author : Hans Halvorson
language : en
Publisher: Princeton University Press
Release Date : 2024-08-06

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 2024-08-06 with Philosophy categories.

A concise introduction to logic that teaches you not only how reasoning works, but why it works How Logic Works is an introductory logic textbook that is different by design. Rather than teaching elementary symbolic logic as an abstract or rote mathematical exercise divorced from ordinary thinking, Hans Halvorson presents it as the skill of clear and rigorous reasoning, which is essential in all fields and walks of life, from the sciences to the humanities—anywhere that making good arguments, and spotting bad ones, is critical to success. Instead of teaching how to apply algorithms using “truth trees,” as in the vast majority of logic textbooks, How Logic Works builds on and reinforces the innate human skills of making and evaluating arguments. It does this by introducing the methods of natural deduction, an approach that teaches students not only how to carry out a proof and solve a problem but also what the principles of valid reasoning are and how they can be applied to any subject. The book also allows students to transition smoothly to more advanced topics in logic by teaching them general techniques that apply to more complicated scenarios, such as how to formulate theories about specific subject matter. How Logic Works shows that formal logic—far from being only for mathematicians or a diversion from the really deep questions of philosophy and human life—is the best account we have of what it means to be rational. By teaching logic in a way that makes students aware of how they already use it, the book will help them to become even better thinkers. Offers a concise, readable, and user-friendly introduction to elementary symbolic logic that primarily uses natural deduction rather than algorithmic “truth trees” Draws on more than two decades’ experience teaching introductory logic to undergraduates Provides a stepping stone to more advanced topics

Logic With Trees

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