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The Logical Status Of Diagrams


The Logical Status Of Diagrams
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The Logical Status Of Diagrams


The Logical Status Of Diagrams
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Author : Sun-Joo Shin
language : en
Publisher: Cambridge University Press
Release Date : 1994

The Logical Status Of Diagrams written by Sun-Joo Shin 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 1994 with Mathematics categories.


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.



Visual Reasoning With Diagrams


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.



Theory And Application Of Diagrams


Theory And Application Of Diagrams
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Author : Michael Anderson
language : en
Publisher: Springer
Release Date : 2003-07-31

Theory And Application Of Diagrams written by Michael Anderson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.


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.



Thinking With Diagrams


Thinking With Diagrams
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Author : Sybille Krämer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-07-11

Thinking With Diagrams written by Sybille Krämer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with Language Arts & Disciplines categories.


Diagrammatic reasoning is crucial for human cognition. It is hard to think of any forms of science or knowledge without the "intermediary world" of diagrams and diagrammatic representation in thought experiments and/or processes, manifested in forms as divers as notes, tables, schemata, graphs, drawings and maps. Despite their phenomenological and structural-functional differences, these forms of representation share a number of important attributes and epistemic functions. Combining aspects of linguistic and pictorial symbolism, diagrams go beyond the traditional distinction between language and image. They do not only represent, yet intervene in what is represented. Their spatiality, materiality and operativity establish a dynamic tool to exteriorize thinking, thus contributing to the idea of the extended mind. They foster imagination and problem solving, facilitate orientation in knowledge spaces and the discovery of unsuspected relationships. How can the diagrammatic nature of cognitive and knowledge practices be theorized historically as well as systematically? This is what this volume explores by investigating the semiotic dimension of diagrams as to knowledge, information and reasoning, e.g., the 'thing-ness' of diagrams in the history of art, the range of diagrammatic reasoning in logic, mathematics, philosophy and the sciences in general, including the knowledge function of maps.



Diagrammatic Representation And Inference


Diagrammatic Representation And Inference
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Author : Ashok K Goel
language : en
Publisher: Springer
Release Date : 2010-07-27

Diagrammatic Representation And Inference written by Ashok K Goel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-27 with Computers categories.


The 6th International Conference on the Theory and Application of Diagrams – Diagrams 2010 – was held in Portland, USA in August 2010. Diagrams is an international and interdisciplinary conference series, which continues to present the very best work in all aspects of research on the theory and application of diagrams. Some key questions that researchers are tackling concern gaining an insight into how diagrams are used, how they are rep- sented, which types are available and when it is appropriate to use them. The use of diagrammatic notations is studied for a variety of purposes including communication, cognition, creative thought, computation and problem-solving. Clearly, this must be pursued as an interdisciplinary endeavor, and Diagrams is the only conference series that provides such a united forum for all areas that are concerned with the study of diagrams: for example, architecture, arti?cial intelligence,cartography,cognitivescience,computer science,education,graphic design, history of science, human–computer interaction, linguistics, logic, ma- ematics, philosophy, psychology, and software modelling. The articles in this volume re?ect this variety and interdisciplinarity of the ?eld.



The Handbook Of Rationality


The Handbook Of Rationality
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Author : Markus Knauff
language : en
Publisher: MIT Press
Release Date : 2021-12-14

The Handbook Of Rationality written by Markus Knauff and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Psychology categories.


The first reference on rationality that integrates accounts from psychology and philosophy, covering descriptive and normative theories from both disciplines. Both analytic philosophy and cognitive psychology have made dramatic advances in understanding rationality, but there has been little interaction between the disciplines. This volume offers the first integrated overview of the state of the art in the psychology and philosophy of rationality. Written by leading experts from both disciplines, The Handbook of Rationality covers the main normative and descriptive theories of rationality—how people ought to think, how they actually think, and why we often deviate from what we can call rational. It also offers insights from other fields such as artificial intelligence, economics, the social sciences, and cognitive neuroscience. The Handbook proposes a novel classification system for researchers in human rationality, and it creates new connections between rationality research in philosophy, psychology, and other disciplines. Following the basic distinction between theoretical and practical rationality, the book first considers the theoretical side, including normative and descriptive theories of logical, probabilistic, causal, and defeasible reasoning. It then turns to the practical side, discussing topics such as decision making, bounded rationality, game theory, deontic and legal reasoning, and the relation between rationality and morality. Finally, it covers topics that arise in both theoretical and practical rationality, including visual and spatial thinking, scientific rationality, how children learn to reason rationally, and the connection between intelligence and rationality.



Diagrammatic Representation And Inference


Diagrammatic Representation And Inference
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Author : Philip T. Cox
language : en
Publisher: Springer
Release Date : 2012-06-19

Diagrammatic Representation And Inference written by Philip T. Cox and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-19 with Computers categories.


This book constitutes the refereed proceedings of the 7th International Conference on Theory and Application of Diagrams, Diagrams 2012, held in Canaterbury, UK, in July 2012. The 16 long papers, 6 short papers and 21 poster abstracts presented were carefully reviewed and selected from 83 submissions. The papers are organized in keynotes, tutorial, workshops, graduate student symposium and topical sections on psychological and cognitive issues, diagram layout, diagrams and data analysis, Venn and Euler diagrams, reasoning with diagrams, investigating aesthetics, applications of diagrams.



Diagrammatic Representation And Inference


Diagrammatic Representation And Inference
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Author : Amrita Basu
language : en
Publisher: Springer Nature
Release Date : 2021-09-21

Diagrammatic Representation And Inference written by Amrita Basu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Computers categories.


This book constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, held virtually in September 2021. The 16 full papers and 25 short papers presented together with 16 posters were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: design of concrete diagrams; theory of diagrams; diagrams and mathematics; diagrams and logic; new representation systems; analysis of diagrams; diagrams and computation; cognitive analysis; diagrams as structural tools; formal diagrams; and understanding thought processes. 10 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.



Diagrammatic Representation And Inference


Diagrammatic Representation And Inference
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Author : Mary Hegarty
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

Diagrammatic Representation And Inference written by Mary Hegarty 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 2002 with Artificial intelligence categories.


This book constitutes the refereed proceedings of the Second International Conference Diagrams 2002, held in Callaway Gardens, Georgia, USA, in April 2002. The 21 revised full papers and 19 posters presented were carefully reviewed and selected from 77 submissions. The papers are organized in topical sections on understanding and communicating with diagrams, diagrams in mathematics, computational aspects of diagrammatic representation and reasoning, logic and diagrams, diagrams in human-computer interaction, tracing the process of diagrammatic reasoning, visualizing information with diagrams, diagrams and software engineering, and cognitive aspects.



Applications Of Graph Transformations With Industrial Relevance


Applications Of Graph Transformations With Industrial Relevance
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Author : John L. Pfaltz
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-01

Applications Of Graph Transformations With Industrial Relevance written by John L. Pfaltz 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 2004-06-01 with Mathematics categories.


This book constitutes the thoroughly refereed post-proceedings of the Second International Workshop on Applications of Graph Transformations with Industrial Relevance, AGTIVE 2003, held in Charlotesville, Virginia, USA in September/October 2003. The 27 revised full papers and 11 revised demo papers presented together with 2 invited papers and 5 workshop reports were carefully selected during iterated rounds of reviewing and revision. The papers are organized in topical sections on Web applications; data structures and data bases; engineering applications; agent-oriented and functional programs and distribution; object- and aspect-oriented systems; natural languages: processing and structuring; reengineering; reuse and integration; modeling languages; bioinformatics; and multimedia, picture, and visual languages.