Visual Reasoning with Diagrams

Visual Reasoning with Diagrams
Author :
Publisher : Springer Science & Business Media
Total Pages : 210
Release :
ISBN-10 : 9783034806008
ISBN-13 : 3034806000
Rating : 4/5 (08 Downloads)

Synopsis Visual Reasoning with Diagrams by : Amirouche Moktefi

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.

Logical Reasoning with Diagrams

Logical Reasoning with Diagrams
Author :
Publisher : Oxford University Press, USA
Total Pages : 287
Release :
ISBN-10 : 9780195104271
ISBN-13 : 0195104277
Rating : 4/5 (71 Downloads)

Synopsis Logical Reasoning with Diagrams by : Gerard Allwein

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

Visualization, Explanation and Reasoning Styles in Mathematics

Visualization, Explanation and Reasoning Styles in Mathematics
Author :
Publisher : Springer Science & Business Media
Total Pages : 315
Release :
ISBN-10 : 9781402033353
ISBN-13 : 1402033354
Rating : 4/5 (53 Downloads)

Synopsis Visualization, Explanation and Reasoning Styles in Mathematics by : P. Mancosu

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.

Data Representations, Transformations, and Statistics for Visual Reasoning

Data Representations, Transformations, and Statistics for Visual Reasoning
Author :
Publisher : Springer Nature
Total Pages : 75
Release :
ISBN-10 : 9783031025990
ISBN-13 : 3031025997
Rating : 4/5 (90 Downloads)

Synopsis Data Representations, Transformations, and Statistics for Visual Reasoning by : Ross Maciejewski

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

Diagrammatic Representation and Reasoning

Diagrammatic Representation and Reasoning
Author :
Publisher : Springer Science & Business Media
Total Pages : 575
Release :
ISBN-10 : 9781447101093
ISBN-13 : 144710109X
Rating : 4/5 (93 Downloads)

Synopsis Diagrammatic Representation and Reasoning by : Michael Anderson

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.

Visual Thinking in Mathematics

Visual Thinking in Mathematics
Author :
Publisher : Oxford University Press
Total Pages : 298
Release :
ISBN-10 : 9780199285945
ISBN-13 : 0199285942
Rating : 4/5 (45 Downloads)

Synopsis Visual Thinking in Mathematics by : Marcus Giaquinto

Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.

WALC 9, Verbal and Visual Reasoning

WALC 9, Verbal and Visual Reasoning
Author :
Publisher : LinguiSystems
Total Pages : 196
Release :
ISBN-10 : 0760607508
ISBN-13 : 9780760607503
Rating : 4/5 (08 Downloads)

Synopsis WALC 9, Verbal and Visual Reasoning by : Kathryn J. Tomlin

Mathematical Reasoning with Diagrams

Mathematical Reasoning with Diagrams
Author :
Publisher : Stanford Univ Center for the Study
Total Pages : 204
Release :
ISBN-10 : 1575863243
ISBN-13 : 9781575863245
Rating : 4/5 (43 Downloads)

Synopsis Mathematical Reasoning with Diagrams by : Mateja Jamnik

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.

Theory and Application of Diagrams

Theory and Application of Diagrams
Author :
Publisher : Springer
Total Pages : 518
Release :
ISBN-10 : 9783540445906
ISBN-13 : 3540445900
Rating : 4/5 (06 Downloads)

Synopsis Theory and Application of Diagrams by : Michael Anderson

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.

Decoding Manhattan

Decoding Manhattan
Author :
Publisher : Abrams
Total Pages : 240
Release :
ISBN-10 : 9781647001704
ISBN-13 : 1647001706
Rating : 4/5 (04 Downloads)

Synopsis Decoding Manhattan by : Antonis Antoniou

Mysteries and folkways of New York City revealed in an entertaining collection of graphic art The life and legend of New York City, from the size of its skyscrapers to the ways of its inhabitants, is vividly captured in this lively collection of more than 250 maps, cross sections, flowcharts, tables, board games, cartoons and infographics, and other unique diagrams spanning 150 years. Superstars such as Saul Steinberg, Maira Kalman, Christoph Niemann, Roz Chast, and Milton Glaser butt up against the unsung heroes of the popular press in a book that is made not only for lovers of New York but also for anyone who enjoys or works with information design.