Download or read book Logical Reasoning with Diagrams written by Gerard Allwein and published by Oxford University Press, USA. This book was released on 1996 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information technology has lead to an increasing need to present information visually. This volume addresses the logical aspects of the visualization of information. Properties of diagrams, charts and maps are explored and their use in problem solving and
Download or read book Visual Reasoning with Diagrams written by Amirouche Moktefi and published by Springer Science & Business Media. This book was released on 2013-07-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Logical Reasoning with Diagrams Sentences written by Dave Barker-Plummer and published by Center for the Study of Language and Information Publica Tion. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logical Reasoning with Diagrams and Sentences courseware package teaches the principles of analytical reasoning and proof construction using a carefully crafted combination of textbook, desktop, and online materials. This package is sure to be an essential resource in a range of courses incorporating logical reasoning, including formal linguistics, philosophy, mathematics, and computer science. Unlike traditional formal treatments of reasoning, this package uses both graphical and sentential representations to reflect common situations in everyday reasoning where information is expressed in many forms, such as finding your way to a location using a map and an address. It also teaches students how to construct and check the logical validity of a variety of proofs--of consequence and non-consequence, consistency and inconsistency, and independence--using an intuitive proof system which extends standard proof treatments with sentential, graphical, and heterogeneous inference rules, allowing students to focus on proof content rather than syntactic structure. Building upon the widely used Tarski's World and Language, Proof and Logic courseware packages, Logical Reasoning with Diagrams and Sentences contains more than three hundred exercises, most of which can be assessed by the Grade Grinder online assessment service; is supported by an extensive website through which students and instructors can access online video lectures by the authors; and allows instructors to create their own exercises and assess their students' work. Logical Reasoning with Diagrams and Sentences is an expanded revision of the Hyperproof courseware package.
Download or read book Logical Reasoning written by Bradley Harris Dowden and published by Bradley Dowden. This book was released on 1993 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Download or read book Mathematical Reasoning with Diagrams written by Mateja Jamnik and published by Stanford Univ Center for the Study. This book was released on 2001-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians at every level use diagrams to prove theorems. Mathematical Reasoning with Diagrams investigates the possibilities of mechanizing this sort of diagrammatic reasoning in a formal computer proof system, even offering a semi-automatic formal proof system—called Diamond—which allows users to prove arithmetical theorems using diagrams.
Download or read book Elements of Logical Reasoning written by Jan von Plato and published by Cambridge University Press. This book was released on 2014-01-23 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.
Download or read book Hyperproof written by Jon Barwise and published by Center for the Study of Language and Information Publications. This book was released on 1995-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperproof is a system for learning the principles of analytical reasoning and proof construction, consisting of a text and a Macintosh software program. Unlike traditional treatments of first-order logic, Hyperproof combines graphical and sentential information, presenting a set of logical rules for integrating these different forms of information. This strategy allows students to focus on the information content of proofs, rather than the syntactic structure of sentences. Using Hyperproof the student learns to construct proofs of both consequence and nonconsequence using an intuitive proof system that extends the standard set of sentential rules to incorporate information represented graphically. Hyperproof is compatible with various natural-deduction-style proof systems, including the system used in the authors' Language of First-Order Logic.
Download or read book LSAT Logical Reasoning written by Manhattan Prep and published by Simon and Schuster. This book was released on 2020-03-03 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manhattan Prep’s LSAT Logical Reasoning guide, fully updated for the digital exam, will teach you how to untangle Logical Reasoning problems confidently and efficiently. Manhattan Prep’s LSAT guides use officially-released LSAT questions and are written by the company’s instructors, who have all scored a 172 or higher on the official LSAT—we know how to earn a great score and we know how to teach you to do the same. This guide will train you to approach LSAT logical reasoning problems as a 99th-percentile test-taker does: Recognize and respond to every type of question Deconstruct the text to find the core argument or essential facts Spot—and avoid—trap answers Take advantage of the digital format to work quickly and strategically Each chapter in LSAT Logical Reasoning features drill sets—made up of real LSAT questions—to help you absorb and apply what you’ve learned. The extensive solutions walk you through every step needed to master Logical Reasoning, including an in-depth explanation of every answer choice, correct and incorrect.
Download or read book Logic Machines Diagrams and Boolean Algebra written by Martin Gardner and published by . This book was released on 1968 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Figuring It Out written by George Englebretsen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with an extensive survey of the history of logic diagrams, including looking at possible diagrams from Aristotle, the development of both linear and closed figure diagrams by Leibniz, Lambert, Euler, Venn’s new system, Peirce’s Existential Graphs, and Frege’s two-dimensional notation as a kind of logic diagram system. During most of the 20th century, there was little regard for efforts to construct logic diagrams. However, since the 1980s there has been an increasing interest in such diagrams. Ever larger numbers of philosophers, logicians, mathematicians, computational scientists, and cognitive scientists have turned their attention to building, analyzing, using, or exploring in other ways systems of logic diagrams. The system offered here makes use of line segments and points and it enjoys a number of important advantages: it is simple, natural, and both expressively and inferentially powerful. It can be used to analyze syllogisms (including those involving relational terms) and arguments involving unanalyzed statements. Understanding such a system can shed valuable light on how ordinary people naturally reason.
Download or read book Logic as a Tool written by Valentin Goranko and published by John Wiley & Sons. This book was released on 2016-09-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book LSAT Logical Reasoning Bible written by David M. Killoran and published by Powerscore Publishing. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The most comprehensive book available for the Logic Reasoning section of the LSAT. This book will provide you with an advanced system for attacking any Logical Reasoning question that you may encounter on the LSAT."--
Download or read book The Art Of Logical Thinking Or The Laws Of Reasoning written by William Walker Atkinson and published by Prabhat Prakashan. This book was released on 2024-05-29 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enhance your logical thinking skills with "The Art Of Logical Thinking Or The Laws Of Reasoning" by William Walker Atkinson, a comprehensive guide that explores the principles and techniques of effective reasoning and logical analysis. Immerse yourself in Atkinson's teachings as he unveils the art of thinking critically and making sound decisions. As the pages unfold, delve into the art of logical thinking, covering aspects from deductive and inductive reasoning to the laws that govern effective thought processes. William Walker Atkinson provides readers with practical exercises and insights to sharpen their logical thinking skills, offering a valuable resource for anyone seeking to enhance their cognitive abilities. But here's a question that resonates with those aiming to improve their logical thinking: What are the key laws and principles that govern logical reasoning, and how can individuals apply these laws to everyday decision-making and problem-solving? Reflect on the transformative teachings presented by Atkinson, prompting contemplation on the practical applications of logical thinking in various aspects of life. Experience the art of logical thinking with "The Art Of Logical Thinking." Short, instructive paragraphs guide you through Atkinson's principles, encouraging you to embrace the practices that can lead to improved reasoning and more effective decision-making. Are you ready to unlock the art of logical thinking and enhance your cognitive abilities? Join William Walker Atkinson on a logical exploration through the pages of "The Art Of Logical Thinking" and discover the keys to thinking critically and making informed decisions. Open the doors to a world of improved reasoning. Purchase "The Art Of Logical Thinking" now, and let Atkinson's timeless wisdom be your guide on the journey to developing logical thinking skills that can be applied in various aspects of your life. Seize the opportunity to own a piece of cognitive brilliance. Embrace the art of logical thinking with "The Art Of Logical Thinking" and let Atkinson's insights inspire you to approach challenges and decisions with a sharper and more logical mind.
Download or read book The Logical Status of Diagrams written by Sun-Joo Shin and published by Cambridge University Press. This book was released on 1994 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: The validity of the transformation rules ensures that the correct application of the rules will not lead to fallacies. The book concludes with a discussion of some fundamental differences between graphical systems and linguistic systems.
Download or read book Diagrammatic Reasoning written by B. Chandrasekaran and published by Menlo Park, Calif. : AAAI Press. This book was released on 1995 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: foreword by Herbert Simon Diagrammatic reasoning -- the understanding of concepts and ideas by the use of diagrams and imagery, as opposed to linguistic or algebraic representations -- not only allows us to gain insight into the way we think, but is a potential base for constructing representations of diagrammatic information that can be stored and processed by computers.Diagrammatic Reasoning brings together recent investigations into the cognitive, the logical, and particularly the computational characteristics of diagrammatic representations and the reasoning that can be done with them. Following a foreword by Herbert Simon and an introduction by the editors, twenty-seven chapters provide an overview of the recent history of the subject, survey and extend the underlying theory of diagrammatic representation, and provide numerous examples of diagrammatic reasoning (human and mechanical) that illustrate both its powers and its limitations.Each of the book's four sections (Historical and Philosophical Background, Theoretical Foundations, Cognitive and Computational Models, and Problem Solving with Diagrams) begins with an introduction by an eminent researcher. These introductions provide interesting personal perspectives as well as place the work in the proper context.Distributed for AAAI Press
Download or read book Simply Logical written by Peter Flach and published by Wiley. This book was released on 1994-04-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Prolog programming for artificial intelligence covering both basic and advanced AI material. A unique advantage to this work is the combination of AI, Prolog and Logic. Each technique is accompanied by a program implementing it. Seeks to simplify the basic concepts of logic programming. Contains exercises and authentic examples to help facilitate the understanding of difficult concepts.
