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Visual Reasoning With Diagrams
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Book Synopsis Visual Reasoning with Diagrams by : Amirouche Moktefi
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.
Book Synopsis Logical Reasoning with Diagrams by : Gerard Allwein
Download or read book Logical Reasoning with Diagrams written by Gerard Allwein and published by Oxford University Press. This book was released on 1996-06-13 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning? What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore the properties of diagrams, charts, and maps, and their use in problem solving and teaching basic reasoning skills. As computers make visual representations more commonplace, it is important for professionals, researchers and students in computer science, philosophy, and logic to develop an understanding of these tools; this book can clarify the relationship between visuals and information.
Author :Jesse Norman Publisher :Center for the Study of Language and Information Publica Tion ISBN 13 : Total Pages :200 pages Book Rating :4.3/5 (91 download)
Download or read book After Euclid written by Jesse Norman and published by Center for the Study of Language and Information Publica Tion. This book was released on 2006 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to have visual intuition? Can we gain geometrical knowledge by using visual reasoning? And if we can, is it because we have a faculty of intuition? In After Euclid, Jesse Norman reexamines the ancient and long-disregarded concept of visual reasoning and reasserts its potential as a formidable tool in our ability to grasp various kinds of geometrical knowledge. The first detailed philosophical case study of its kind, this text is essential reading for scholars in the fields of mathematics and philosophy.
Book Synopsis Diagrammatic Reasoning by : B. Chandrasekaran
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
Book Synopsis Logical Reasoning with Diagrams by : Gerard Allwein
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
Author :Eric Hammer Publisher :Center for the Study of Language and Information Publications ISBN 13 :9781881526995 Total Pages :135 pages Book Rating :4.5/5 (269 download)
Book Synopsis Logic and Visual Information by : Eric Hammer
Download or read book Logic and Visual Information written by Eric Hammer and published by Center for the Study of Language and Information Publications. This book was released on 1995-10-27 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the logical foundations of visual information: information presented in the form of diagrams, graphs, charts, tables, and maps. The importance of visual information is clear from its frequent presence in everyday reasoning and communication, and also in computation. Chapters of the book develop the logics of familiar systems of diagrams such as Venn diagrams and Euler circles. Other chapters develop the logic of higraphs, Peirce diagrams, and a system having both diagrams and sentences among its well-formed representations. Syntax, semantics, rules of inference, and soundness and completeness results are provided for each of the systems. In addition to developing the logic of diagrams, key questions about the status of visual information are discussed, such as the relationship between language and visually-presented information.
Book Synopsis Visual and Spatial Analysis by : Boris Kovalerchuk
Download or read book Visual and Spatial Analysis written by Boris Kovalerchuk and published by Springer Science & Business Media. This book was released on 2007-11-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced visual analysis and problem solving has been conducted successfully for millennia. The Pythagorean Theorem was proven using visual means more than 2000 years ago. In the 19th century, John Snow stopped a cholera epidemic in London by proposing that a specific water pump be shut down. He discovered that pump by visually correlating data on a city map. The goal of this book is to present the current trends in visual and spatial analysis for data mining, reasoning, problem solving and decision-making. This is the first book to focus on visual decision making and problem solving in general with specific applications in the geospatial domain - combining theory with real-world practice. The book is unique in its integration of modern symbolic and visual approaches to decision making and problem solving. As such, it ties together much of the monograph and textbook literature in these emerging areas. This book contains 21 chapters that have been grouped into five parts: (1) visual problem solving and decision making, (2) visual and heterogeneous reasoning, (3) visual correlation, (4) visual and spatial data mining, and (5) visual and spatial problem solving in geospatial domains. Each chapter ends with a summary and exercises. The book is intended for professionals and graduate students in computer science, applied mathematics, imaging science and Geospatial Information Systems (GIS). In addition to being a state-of-the-art research compilation, this book can be used a text for advanced courses on the subjects such as modeling, computer graphics, visualization, image processing, data mining, GIS, and algorithm analysis.
Book Synopsis Theory and Application of Diagrams by : Michael Anderson
Download or read book Theory and Application of Diagrams written by Michael Anderson and published by Springer. This book was released on 2003-07-31 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diagrams 2000 is dedicated to the memory of Jon Barwise. Diagrams 2000 was the ?rst event in a new interdisciplinary conference series on the Theory and Application of Diagrams. It was held at the University of Edinburgh, Scotland, September 1-3, 2000. Driven by the pervasiveness of diagrams in human communication and by the increasing availability of graphical environments in computerized work, the study of diagrammatic notations is emerging as a research ?eld in its own right. This development has simultaneously taken place in several scienti?c disciplines, including, amongst others: cognitive science, arti?cial intelligence, and computer science. Consequently, a number of di?erent workshop series on this topic have been successfully organized during the last few years: Thinking with Diagrams, Theory of Visual Languages, Reasoning with Diagrammatic Representations, and Formalizing Reasoning with Visual and Diagrammatic Representations. Diagrams are simultaneously complex cognitive phenonema and sophis- cated computational artifacts. So, to be successful and relevant the study of diagrams must as a whole be interdisciplinary in nature. Thus, the workshop series mentioned above decided to merge into Diagrams 2000, as the single - terdisciplinary conference for this exciting new ?eld. It is intended that Diagrams 2000 should become the premier international conference series in this area and provide a forum with su?cient breadth of scope to encompass researchers from all academic areas who are studying the nature of diagrammatic representations and their use by humans and in machines.
Book Synopsis Data Representations, Transformations, and Statistics for Visual Reasoning by : Ross Maciejewski
Download or read book Data Representations, Transformations, and Statistics for Visual Reasoning written by Ross Maciejewski and published by Springer Nature. This book was released on 2022-06-01 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical reasoning techniques are methods by which users explore their data to obtain insight and knowledge that can directly support situational awareness and decision making. Recently, the analytical reasoning process has been augmented through the use of interactive visual representations and tools which utilize cognitive, design and perceptual principles. These tools are commonly referred to as visual analytics tools, and the underlying methods and principles have roots in a variety of disciplines. This chapter provides an introduction to young researchers as an overview of common visual representations and statistical analysis methods utilized in a variety of visual analytics systems. The application and design of visualization and analytical algorithms are subject to design decisions, parameter choices, and many conflicting requirements. As such, this chapter attempts to provide an initial set of guidelines for the creation of the visual representation, including pitfalls and areas where the graphics can be enhanced through interactive exploration. Basic analytical methods are explored as a means of enhancing the visual analysis process, moving from visual analysis to visual analytics. Table of Contents: Data Types / Color Schemes / Data Preconditioning / Visual Representations and Analysis / Summary
Book Synopsis Diagrammatic Representation and Reasoning by : Michael Anderson
Download or read book Diagrammatic Representation and Reasoning written by Michael Anderson and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rise in computing and multimedia technology has spawned an increasing interest in the role of diagrams and sketches, not only for the purpose of conveying information but also for creative thinking and problem-solving. This book attempts to characterise the nature of "a science of diagrams" in a wide-ranging, multidisciplinary study that contains accounts of the most recent research results in computer science and psychology. Key topics include: cognitive aspects, formal aspects, and applications. It is a well-written and indispensable survey for researchers and students in the fields of cognitive science, artificial intelligence, human-computer interaction, and graphics and visualisation.
Book Synopsis Model-Based Reasoning in Science and Technology by : Lorenzo Magnani
Download or read book Model-Based Reasoning in Science and Technology written by Lorenzo Magnani and published by Springer Science & Business Media. This book was released on 2010-08-30 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically presented to enhance the feasibility of fuzzy models, this book introduces the novel concept of a fuzzy network whose nodes are rule bases and their interconnections are interactions between rule bases in the form of outputs fed as inputs.
Book Synopsis Visual Language Theory by : Kim Marriott
Download or read book Visual Language Theory written by Kim Marriott and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad-ranging survey of our current understanding of visual languages and their theoretical foundations. Its main focus is the definition, specification, and structural analysis of visual languages by grammars, logic, and algebraic methods and the use of these techniques in visual language implementation. Researchers in formal language theory, HCI, artificial intelligence, and computational linguistics will all find this an invaluable guide to the current state of research in the field.
Book Synopsis Visual and Spatial Analysis by : Boris Kovalerchuk
Download or read book Visual and Spatial Analysis written by Boris Kovalerchuk and published by Springer Science & Business Media. This book was released on 2007-11-06 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced visual analysis and problem solving has been conducted successfully for millennia. The Pythagorean Theorem was proven using visual means more than 2000 years ago. In the 19th century, John Snow stopped a cholera epidemic in London by proposing that a specific water pump be shut down. He discovered that pump by visually correlating data on a city map. The goal of this book is to present the current trends in visual and spatial analysis for data mining, reasoning, problem solving and decision-making. This is the first book to focus on visual decision making and problem solving in general with specific applications in the geospatial domain - combining theory with real-world practice. The book is unique in its integration of modern symbolic and visual approaches to decision making and problem solving. As such, it ties together much of the monograph and textbook literature in these emerging areas. This book contains 21 chapters that have been grouped into five parts: (1) visual problem solving and decision making, (2) visual and heterogeneous reasoning, (3) visual correlation, (4) visual and spatial data mining, and (5) visual and spatial problem solving in geospatial domains. Each chapter ends with a summary and exercises. The book is intended for professionals and graduate students in computer science, applied mathematics, imaging science and Geospatial Information Systems (GIS). In addition to being a state-of-the-art research compilation, this book can be used a text for advanced courses on the subjects such as modeling, computer graphics, visualization, image processing, data mining, GIS, and algorithm analysis.
Book Synopsis Visualization, Explanation and Reasoning Styles in Mathematics by : P. Mancosu
Download or read book Visualization, Explanation and Reasoning Styles in Mathematics written by P. Mancosu and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.
Book Synopsis Proceedings of the Sixteenth Annual Conference of the Cognitive Science Society by : Ashwin Ram
Download or read book Proceedings of the Sixteenth Annual Conference of the Cognitive Science Society written by Ashwin Ram and published by Routledge. This book was released on 2019-05-23 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features the complete text of all regular papers, posters, and summaries of symposia presented at the 16th annual meeting of the Cognitive Science Society.
Book Synopsis Graph-Based Representation and Reasoning by : Manuel Ojeda-Aciego
Download or read book Graph-Based Representation and Reasoning written by Manuel Ojeda-Aciego and published by Springer Nature. This book was released on 2023-08-15 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed deadline proceedings of the 28th International Conference on Graph-Based Representation and Reasoning, ICCS 2023, held in Berlin, Germany, during September 11–13, 2023. The 9 full papers, 5 short papers and 4 Posters are included in this book were carefully reviewed and selected from 32 submissions. They were organized in topical sections as follows: Complexity and Database Theory, Formal Concept Analysis: Theoretical Advances, Formal Concept Analysis: Applications, Modelling and Explanation, Semantic Web and Graphs, Posters.
Book Synopsis Diagrammatic Representation and Inference by : Ahti-Veikko Pietarinen
Download or read book Diagrammatic Representation and Inference written by Ahti-Veikko Pietarinen and published by Springer Nature. This book was released on 2020-08-17 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020, held in Tallinn, Estonia, in August 2020.* The 20 full papers and 16 short papers presented together with 18 posters were carefully reviewed and selected from 82 submissions. The papers are organized in the following topical sections: diagrams in mathematics; diagram design, principles, and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; logic and diagrams; and posters. *The conference was held virtually due to the COVID-19 pandemic. The chapters ‘Modality and Uncertainty in Data Visualization: A Corpus Approach to the Use of Connecting Lines,’ ‘On Effects of Changing Multi-Attribute Table Design on Decision Making: An Eye Tracking Study,’ ‘Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs,’ ‘The DNA Framework of Visualization’ and ‘Visualizing Curricula’ are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
