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After Euclid : Visual reasoning and the epistemology of diagrams.
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ISBN: 1575865106 1575865092 9781575865096 9781575865102 Year: 2005 Volume: 175 Publisher: Stanford (Calif.) CSLI

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The iconic logic of Peirce's graphs
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ISBN: 0262194708 0262283557 0585435472 9780262283557 9780585435473 9780262194709 Year: 2002 Publisher: Cambridge, Mass. MIT Press

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"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 in their own terms, she uncovers the reasons why graphical systems, and Existential Graphs in particular, have been underappreciated by logicians. Drawing on perspectives from the philosophy of mind, cognitive science, logic, and computer science, Shin points the way toward a genuinely interdisciplinary project on multimodal reasoning."--Cover.


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The existential graphs of Charles S. Peirce
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ISBN: 9786612715150 3110226227 1282715151 9027925232 3110226219 Year: 1973 Publisher: The Hague : Mouton,

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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.


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Logic of The Future.
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ISBN: 9783110649390 9783110651423 9783110649659 9783110649345 9783110740356 9783110649451 Year: 2021 Publisher: Berlin Boston

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In three comprehensive volumes, Logic of the Future presents a fullpanorama of Charles S. Peirce’s important late writings. Among themost influential American thinkers, Peirce took his existential graphs tobe his greatest contribution to human thought. The manuscriptsfrom 1895—1913, most of which are published here for the first time, testify therichness and open-endedness of his theory of logic and its applications.They also invite us to reconsider our ordinary conceptions of reasoning aswell 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.

Diagrammatology : an investigation on the borderlines of phenomenology, ontology, and semiotics
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ISBN: 1280944021 9786610944026 1402056524 1402056516 940070531X Year: 2007 Volume: v. 336 Publisher: Dordrecht ; London : Springer,

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Diagrammatology investigates the role of diagrams for thought and knowledge. Based on the general doctrine of diagrams in Charles Peirce's mature work, Diagrammatology claims diagrams to constitute a centerpiece of epistemology. The book reflects Peirce's work on the issue in Husserl's contemporanous doctrine of "categorial intuition" and charts the many unnoticed similarities between Peircean semiotics and early Husserlian phenomenology. Diagrams, on a Peircean account, allow for observation and experimentation with ideal structures and objects and thus furnish the access to the synthetic a priori of the regional and formal ontology of the Husserlian tradition. The second part of the book focusses on three regional branches of semiotics: biosemiotics, picture analysis, and the theory of literature. Based on diagrammatology, these domains appear as accessible for a diagrammatological approach which leaves the traditional relativism and culturalism of semiotics behind and hence constitutes a realist semiotics Diagrams will never be the same. A fascinating and challenging tour through phenomenology, biology, Peirce's theory of signs and Ingarden's ontology of literature, all neatly tied together through the guiding thread of the diagrammatical. A veritable tour de force. Barry Smith, SUNY at Buffalo, U.S.A. With his meticulous scholarship, Frederik Stjernfelt shows that Peirce and Husserl were cultivating a broad and fertile common ground, which was largely neglected by both the analytic and the continental philosophers during the 20th century and which promises to be an exciting area of research in the 21st. John F. Sowa, Croton-on-Hudson, U.S.A.

Conceptual structures: applications, implementation and theory. Third international conference on conceptual structures, ICCS'95 Santa Cruz, CA, USA, August 1995. Proceedings
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ISBN: 3540601619 3540495398 9783540601616 Year: 1995 Volume: 954 Publisher: Berlin : Springer-Verlag,

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This book constitutes the proceedings of the Third International Conference on Conceptual Structures, ICCS '95, held in Santa Cruz, California in August 1995. Conceptual structures are a modern treatment of Peirce's existential graphs, a graphic notation for classical logic with higher order extensions. Besides three invited papers, there are included 21 revised full papers selected from 58 submission. The volume reflects the state-of-the-art in this research area of growing interest. The papers are organized in sections on natural language, applications, programming in conceptual graphs, machine learning and knowledge acquisition, hardware and implementation, graph operations, and ontologies and theory.


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Visual reasoning with diagrams
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ISBN: 3034805993 3034806000 Year: 2013 Publisher: Heidleberg ; New York : Birkhauser,

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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.

Words, proofs, and diagrams
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ISBN: 1575864061 1575864053 Year: 2002 Publisher: Stanford (Calif.): CSLI

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The past twenty years have witnessed extensive collaborative research between computer scientists, logicians, linguists, philosophers, and psychologists. These interdisciplinary studies stem from the realization that researchers drawn from all fields are studying the same problem. Specifically, a common concern amongst researchers today is how logic sheds light on the nature of information. Ancient questions concerning how humans communicate, reason and decide, and modern questions about how computers should communicate, reason and decide are of prime interest to researchers in various disciplines. 'Words, Proofs and Diagrams' is a collection of papers covering active research areas at the interface of logic, computer science, and linguistics. Readers of the volume will find traditional research on process logics, issues in formal semantics, and language processing. In addition, the volume also highlights a particularly new area where all three disciplines meet--the study of images and graphics as information carriers and the diagrammatic reasoning supported by them.

Conceptual Structures: Theory, Tools and Applications : 6th International Conference on Conceptual Structures, ICCS'98, Montpellier, France, August, 10-12, 1998, Proceedings
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ISBN: 3540647910 9783540647911 3540686738 Year: 1998 Volume: 1453 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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This book constitutes the refereed proceedings of the 6th International Conference on Conceptual Structures, ICCS'98, held in Montpellier, France, in August 1998. The 20 revised full papers and 10 research reports presented were carefully selected from a total of 66 submissions; also included are three invited contributions. The volume is divided in topical sections on knowledge representation and knowledge engineering, tools, conceptual graphs and other models, relationships with logics, algorithms and complexity, natural language processing, and applications.

Conceptual Structures: Integration and Interfaces : 10th International Conference on Conceptual Structures, ICCS 2002 Borovets, Bulgaria, July 15-19, 2002 Proceedings
Authors: --- --- ---
ISBN: 3540439013 3540454837 Year: 2002 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Keywords

Conceptual structures (Information theory) --- Graph theory --- Logic diagrams --- Knowledge representation (Information theory) --- Natural language processing (Computer science) --- Computer Science --- Engineering & Applied Sciences --- Diagrams, Logic --- Logic --- Diagrams --- Graphic methods --- Computer science. --- Algorithms. --- Mathematical logic. --- Computer science --- Artificial intelligence. --- Computer Science. --- Artificial Intelligence (incl. Robotics). --- Discrete Mathematics in Computer Science. --- Mathematical Logic and Formal Languages. --- Algorithm Analysis and Problem Complexity. --- Mathematics. --- Computational complexity. --- Computer software. --- Artificial Intelligence. --- Software, Computer --- Computer systems --- Informatics --- Science --- Complexity, Computational --- Electronic data processing --- Machine theory --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Computer science—Mathematics. --- Algorism --- Algebra --- Arithmetic --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Foundations

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