The Iconic Logic of Peirce's Graphs PDF Download

Author: Sun-Joo Shin
Publisher: MIT Press
ISBN: 9780262194709
Category : Mathematics
Languages : en
Pages : 228

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Book Description
A case study of multimodal systems and a new interpretation of Charles S. Peirce's theory of reasoning and signs based on an analysis of his system of Existential Graphs. At the dawn of modern logic, Charles S. Peirce invented two types of logical systems, one symbolic and the other graphical. In this book Sun-Joo Shin explores the philosophical roots of the birth of Peirce's Existential Graphs in his theory of representation and logical notation. Shin demonstrates that Peirce is the first philosopher to lay a solid philosophical foundation for multimodal representation systems. Shin analyzes Peirce's well-known, but much-criticized nonsymbolic representation system. She presents a new approach to his graphical system based on her discovery of its unique nature and on a reconstruction of Peirce's theory of representation. By seeking to understand graphical systems on their own terms, she uncovers the reasons why graphical systems, and Existential Graphs in particular, have been underappreciated among logicians. Drawing on perspectives from the philosophy of mind, cognitive science, logic, and computer science, Shin provides evidence for a genuinely interdisciplinary project on multimodal reasoning.

Author: Kathleen A. Hull
Publisher: Taylor & Francis
ISBN: 1315444631
Category : Education
Languages : en
Pages : 232

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Book Description
In this book, scholars examine the nature and significance of Peirce’s work on perception, iconicity, and diagrammatic thinking. Abjuring any strict dichotomy between presentational and representational mental activity, Peirce’s theories transform the Aristotelian, Humean, and Kantian paradigms that continue to hold sway today and forge a new path for understanding the centrality of visual thinking in science, education, art, and communication. This book is a key resource for scholars interested in Perice’s philosophy and its relation to contemporary issues in mathematics, philosophy of mind, philosophy of perception, semiotics, logic, visual thinking, and cognitive science.

Author: Gary Slater
Publisher: Oxford University Press
ISBN: 0198753233
Category : Biography & Autobiography
Languages : en
Pages : 251

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Book Description
This study develops resources in the work of Charles S. Peirce (1839-1914) for the purposes of contemporary philosophy. It contextualizes Peirce's prevailing influences and provides greater context in relation to the currents of nineteenth-century thought. Dr Gary Slater articulates 'a nested continua model' for theological interpretation, which is indebted to Peirce's creation of 'Existential Graphs', a system of diagrams designed to provide visual representation of the process of human reasoning. He investigates how the model can be applied by looking at recent debates in historiography. He deals respectively with Peter Ochs and Robert C. Neville as contemporary manifestations of Peircean philosophical theology. This work concludes with an assessment of the model's theological implications.

Author: Dave Barker-Plummer
Publisher: Springer Science & Business Media
ISBN: 3540356231
Category : Computers
Languages : en
Pages : 313

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Book Description
Proceedings of the 4th International Conference on Theory and Application of Diagrams, Stanford, CA, USA in June 2006. 13 revised full papers, 9 revised short papers, and 12 extended abstracts are presented together with 2 keynote papers and 2 tutorial papers. The papers are organized in topical sections on diagram comprehension by humans and machines, notations: history, design and formalization, diagrams and education, reasoning with diagrams by humans and machines, and psychological issues in comprehension, production and communication.

Author: Sébastien Ferré
Publisher: Springer Science & Business Media
ISBN: 3642018149
Category : Computers
Languages : en
Pages : 350

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Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Formal Concept Analysis, ICFCA 2009, held in Darmstadt, Germany, in May 2009. The 15 revised full papers presented were carefully reviewed and selected from 29 submissions for inclusion in the book. The papers comprise state of the art research and present new results in Formal Concept Analysis and related fields. These results range from theoretical novelties to advances in FCA-related algorithmic issues, as well as application domains of FCA such as data visualization, information retrieval, machine learning, data analysis and knowledge management.

Author: Henrik Schärfe
Publisher: Springer
ISBN: 3540359028
Category : Computers
Languages : en
Pages : 465

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Book Description
This book constitutes the refereed proceedings of the 14th International Conference on Conceptual Structures, ICCS 2006, held in Aalborg, Denmark in July 2006. The volume presents 24 revised full papers, together with 6 invited papers. The papers address topics such as conceptual structures; their interplay with language, semantics and pragmatics; formal methods for concept analysis and contextual logic, modeling, representation, and visualization of concepts; conceptual knowledge acquisition and more.

Author: Ahti-Veikko Pietarinen
Publisher: Springer Nature
ISBN: 3030542491
Category : Computers
Languages : en
Pages : 557

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Book Description
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.

Author: Jean-Yves Béziau
Publisher: Springer Nature
ISBN: 3030944522
Category : Mathematics
Languages : en
Pages : 743

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Book Description
This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

Author: Alan Blackwell
Publisher: Springer
ISBN: 3540259317
Category : Computers
Languages : en
Pages : 469

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Book Description
Although diagrammatic representations have been a feature of human communication from early history, recent advances in printing and electronic media technologyhaveintroducedincreasinglysophisticatedvisualrepresentationsinto everyday life. We need to improve our understanding of the role of diagrams and sketches in communication, cognition, creative thought, and problem-solving. These concerns have triggered a surge of interest in the study of diagrammatic notations, especially in academic disciplines dealing with cognition, computation, and communication. We believe that the study of diagrammatic communication is best pursued as an interdisciplinary endeavor. The Diagrams conference series was launched to support an international research community with this common goal. After successful meetings in Edinburgh (2000) and Georgia (2002), Diagrams 2004 was the third event in the series. The Diagrams series attracts a large number of researchers from virtually all academic fields who are studying the nature of diagrammatic representations, their use in human communication, and cognitive or computationalmechanismsforprocessingdiagrams. Bycombiningseveralearlier workshop and symposium series that were held in the US and Europe - Reasoning with Diagrammatic Representations (DR), US; Thinking with Diagrams (TWD), Europe; and Theory of Visual Languages (TVL), Europe - Diagrams has emerged as a major international conference on this topic.

Author: Richard Kenneth Atkins
Publisher: Oxford University Press
ISBN: 0190887192
Category : Philosophy
Languages : en
Pages : 273

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Book Description
No reasonable person would deny that the sound of a falling pin is less intense than the feeling of a hot poker pressed against the skin, or that the recollection of something seen decades earlier is less vivid than beholding it in the present. Yet John Locke is quick to dismiss a blind man's report that the color scarlet is like the sound of a trumpet, and Thomas Nagel similarly avers that such loose intermodal analogies are of little use in developing an objective phenomenology. Charles Sanders Peirce (1839-1914), by striking contrast, maintains rather that the blind man is correct. Peirce's reasoning stems from his phenomenology, which has received little attention as compared with his logic, pragmatism, or semiotics. Peirce argues that one can describe the similarities and differences between such experiences as seeing a scarlet red and hearing a trumpet's blare or hearing a falling pin and feeling a hot poker. Drawing on the Kantian idea that the analysis of consciousness should take as its guide formal logic, Peirce contends that we can construct a table of the elements of consciousness, just as Dmitri Mendeleev constructed a table of the chemical elements. By showing that the elements of consciousness fall into distinct classes, Peirce makes significant headway in developing the very sort of objective phenomenology which vindicates the studious blind man Locke so derides. Charles S. Peirce's Phenomenology shows how his phenomenology rests on his logic, gives an account of Peirce's phenomenology as science, and then shows how his work can be used to develop an objective phenomenological vocabulary. Ultimately, Richard Kenneth Atkins shows how Peirce's pioneering and distinctive formal logic led him to a phenomenology that addresses many of the questions philosophers of mind continue to raise today.