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The Iconic Logic Of Peirces Graphs
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Book Synopsis The Iconic Logic of Peirce's Graphs by : Sun-Joo Shin
Download or read book The Iconic Logic of Peirce's Graphs written by Sun-Joo Shin and published by MIT Press. This book was released on 2002 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of Logic by : Kenneth Laine Ketner
Download or read book Elements of Logic written by Kenneth Laine Ketner and published by . This book was released on 1990 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logical Tracts by : Ahti-Veikko Pietarinen
Download or read book The Logical Tracts written by Ahti-Veikko Pietarinen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce’s important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be his greatest contribution to human thought. The manuscripts from 1895—1913, most of which are published here for the first time, testify the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories told about the evolution of modern logic. This second volume collects Peirce’s writings on existential graphs related to his Lowell Lectures of 1903, the annus mirabilis of his that became decisive in the development of the mature theory of the graphical method of logic.
Book Synopsis The Logic System of Concept Graphs with Negation by : Frithjof Dau
Download or read book The Logic System of Concept Graphs with Negation written by Frithjof Dau and published by Springer Science & Business Media. This book was released on 2003-11-24 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of contextual logic is to provide a formal theory of elementary logic, which is based on the doctrines of concepts, judgements, and conclusions. Concepts are mathematized using Formal Concept Analysis (FCA), while an approach to the formalization of judgements and conclusions is conceptual graphs, based on Peirce's existential graphs. Combining FCA and a mathematization of conceptual graphs yields so-called concept graphs, which offer a formal and diagrammatic theory of elementary logic. Expressing negation in contextual logic is a difficult task. Based on the author's dissertation, this book shows how negation on the level of judgements can be implemented. To do so, cuts (syntactical devices used to express negation) are added to concept graphs. As we can express relations between objects, conjunction and negation in judgements, and existential quantification, the author demonstrates that concept graphs with cuts have the expressive power of first-order predicate logic. While doing so, the author distinguishes between syntax and semantics, and provides a sound and complete calculus for concept graphs with cuts. The author's treatment is mathematically thorough and consistent, and the book gives the necessary background on existential and conceptual graphs.
Book Synopsis The Existential Graphs of Charles S. Peirce by : Don D. Roberts
Download or read book The Existential Graphs of Charles S. Peirce written by Don D. Roberts and published by Walter de Gruyter. This book was released on 2009-12-22 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peirce's contemporaries had the advantage of some popular lectures on the graphs (the Lowell Lectures of 1903, principally), but his graphical publications were few and not easy to understand, as he admitted himself.
Book Synopsis Peirce on Perception and Reasoning by : Kathleen A. Hull
Download or read book Peirce on Perception and Reasoning written by Kathleen A. Hull and published by Routledge. This book was released on 2017-03-27 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The founder of both American pragmatism and semiotics, Charles Sanders Peirce (1839–1914) is widely regarded as an enormously important and pioneering theorist. In this book, scholars from around the world 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, in so doing, forge a new path for understanding the centrality of visual thinking in science, education, art, and communication. The essays in this collection cover a wide range of issues related to Peirce’s theories, including the perception of generality; the legacy of ideas being copies of impressions; imagination and its contribution to knowledge; logical graphs, diagrams, and the question of whether their iconicity distinguishes them from other sorts of symbolic notation; how images and diagrams contribute to scientific discovery and make it possible to perceive formal relations; and the importance and danger of using diagrams to convey scientific ideas. 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.
Book Synopsis C.S. Peirce and the Nested Continua Model of Religious Interpretation by : Gary Slater
Download or read book C.S. Peirce and the Nested Continua Model of Religious Interpretation written by Gary Slater and published by Oxford University Press. This book was released on 2015 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis History and Applications by : Ahti-Veikko Pietarinen
Download or read book History and Applications written by Ahti-Veikko Pietarinen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-12-16 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S. Peirce’s most important late writings. Among the most influential American thinkers, Peirce took his existential graphs to be a significant contribution to human thought. The manuscripts from 1895–1913, with many of them being published here for the first time, testify to the richness and open-endedness of his theory of logic and its applications. They also invite us to reconsider our ordinary conceptions of reasoning as well as the conventional stories concerning the evolution of modern logic. This first volume of Logic of the Future is on the historical development, theory and application of Peirce’s graphical method and diagrammatic reasoning. It also illustrates the abundant further developments and applications Peirce envisaged existential graphs to have on the analysis of mathematics, language, meaning and mind.
Book Synopsis Diagrams, Visual Imagination, and Continuity in Peirce's Philosophy of Mathematics by : Vitaly Kiryushchenko
Download or read book Diagrams, Visual Imagination, and Continuity in Peirce's Philosophy of Mathematics written by Vitaly Kiryushchenko and published by Springer Nature. This book was released on 2023-05-12 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the relationship between necessary reasoning and visual experience in Charles S. Peirce’s mathematical philosophy. It presents mathematics as a science that presupposes a special imaginative connection between our responsiveness to reasons and our most fundamental perceptual intuitions about space and time. Central to this view on the nature of mathematics is Peirce’s idea of diagrammatic reasoning. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself. Thus conceived, one's capacity to diagram their thought reveals a set of characteristics common to ordinary language, visual perception, and necessary mathematical reasoning. The book offers an original synthetic approach that allows tracing the roots of Peirce’s conception of a diagram in certain patterns of interrelation between his semiotics, his pragmaticist philosophy, his logical and mathematical ideas, bits and pieces of his biography, his personal intellectual predispositions, and his scientific practice as an applied mathematician.
Book Synopsis The Cambridge Companion to Peirce by : Cheryl Misak
Download or read book The Cambridge Companion to Peirce written by Cheryl Misak and published by Cambridge University Press. This book was released on 2004-07-12 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Sanders Peirce (1839-1914) is generally considered the most significant American philosopher. He was the founder of pragmatism, the view popularized by William James and John Dewey, that our philosophical theories must be linked to experience and practice. The essays in this volume reveal how Peirce worked through this idea to make important contributions to most branches of philosophy.
Book Synopsis Diagrammatic Representation and Inference by : Dave Barker-Plummer
Download or read book Diagrammatic Representation and Inference written by Dave Barker-Plummer and published by Springer Science & Business Media. This book was released on 2006-06-22 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 Sheets, Diagrams, and Realism in Peirce by : Frederik Stjernfelt
Download or read book Sheets, Diagrams, and Realism in Peirce written by Frederik Stjernfelt and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates a number of central problems in the philosophy of Charles Peirce grouped around the realism of his semiotics: the issue of how sign systems are developed and used in the investigation of reality. Thus, it deals with the precise character of Peirce's realism; with Peirce's special notion of propositions as signs which, at the same time, denote and describe the same object. It deals with diagrams as signs which depict more or less abstract states-of-affairs, facilitating reasoning about them; with assertions as public claims about the truth of propositions. It deals with iconicity in logic, the issue of self-control in reasoning, dependences between phenomena in their realist descriptions. A number of chapters deal with applied semiotics: with biosemiotic sign use among pre-human organisms: the multimedia combination of pictorial and linguistic information in human semiotic genres like cartoons, posters, poetry, monuments. All in all, the book makes a strong case for the actual relevance of Peirce's realist semiotics.
Download or read book Peirce written by Albert Atkin and published by Routledge. This book was released on 2015-06-26 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Sanders Peirce (1839-1914) is generally regarded as the founder of pragmatism, and one of the greatest ever American philosophers. Peirce is also widely known for his work on truth, his foundational work in mathematical logic, and an influential theory of signs, or semiotics. Albert Atkin introduces the full spectrum of Peirce’s thought for those coming to his work for the first time. The book begins with an overview of Peirce’s life and work, considering his early and long-standing interest in logic and science, and highlighting important views on the structure of philosophical thought. Atkin then explains Peirce’s accounts of pragmatism and truth examining important later developments to these theories. He then introduces Peirce’s full accounts of semiotics, examines his foundational work on formal and graphical logic, and introduces Peirce’s account of metaphysics, the least understood aspect of his philosophy. The final chapter considers Peirce’s legacy and influence on the thought of philosophers such as John Dewey and Richard Rorty, as well as highlighting areas where Peirce’s ideas could still provide important insights for contemporary philosophers. Including chapter summaries, suggestions for further reading and a glossary, this invaluable introduction and guide to Peirce’s philosophy is essential reading for those new to his work.
Book Synopsis Diagrammatic Immanence by : Rocco Gangle
Download or read book Diagrammatic Immanence written by Rocco Gangle and published by Edinburgh University Press. This book was released on 2015-11-13 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used both as tools and as objects of philosophical investigation. Gangle integrates insights from Spinoza, Pierce and Deleuze in conjunction with the formal operations of category theory.
Book Synopsis C.S. Peirce: Oxford Bibliographies Online Research Guide by : Oxford University Press
Download or read book C.S. Peirce: Oxford Bibliographies Online Research Guide written by Oxford University Press and published by Oxford University Press, USA. This book was released on 2010-06-01 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ebook is a selective guide designed to help scholars and students of social work find reliable sources of information by directing them to the best available scholarly materials in whatever form or format they appear from books, chapters, and journal articles to online archives, electronic data sets, and blogs. Written by a leading international authority on the subject, the ebook provides bibliographic information supported by direct recommendations about which sources to consult and editorial commentary to make it clear how the cited sources are interrelated related. This ebook is a static version of an article from Oxford Bibliographies Online: Philosophy, a dynamic, continuously updated, online resource designed to provide authoritative guidance through scholarship and other materials relevant to the study Philosophy. Oxford Bibliographies Online covers most subject disciplines within the social science and humanities, for more information visit www.oxfordbibligraphies.com.
Book Synopsis Logic: A History of its Central Concepts by : Dov M. Gabbay
Download or read book Logic: A History of its Central Concepts written by Dov M. Gabbay and published by Newnes. This book was released on 2012-12-31 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning
