The Iconic Logic of Peirce's Graphs


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.




Peirce on Perception and Reasoning


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.




The Existential Graphs of Charles S. Peirce


Book Description

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.




Charles S. Peirce's Phenomenology


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.




Figuring It Out


Book Description

Many systems of logic diagrams have been offered both historically and more recently. Each of them has clear limitations. An original alternative system is offered here. It is simpler, more natural, and more expressively and inferentially powerful. It can be used to analyze not only syllogisms but arguments involving relational terms and unanalyzed statement terms.




Diagrammatic Representation and Inference


Book Description

This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018, held in Edinburgh, UK, in June 2018. The 26 revised full papers and 28 short papers presented together with 32 posters were carefully reviewed and selected from 124 submissions. The papers are organized in the following topical sections: generating and drawing Euler diagrams; diagrams in mathematics; diagram design, principles and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; Peirce and existential graphs; and logic and diagrams.




Conceptual Structures: Inspiration and Application


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.




Conceptual Structures: Knowledge Visualization and Reasoning


Book Description

This book constitutes the refereed proceedings of the 16th International Conference on Conceptual Structures, ICCS 2008, held in Toulouse, France, in July 2008. The 19 revised full papers presented together with 2 invited papers were carefully reviewed and selected from over 70 submissions. The scope of the contributions ranges from theoretical and methodological topics to implementation issues and applications. The papers present a family of Conceptual Structure approaches that build on techniques derived from artificial intelligence, knowledge representation, applied mathematics and lattice theory, computational linguistics, conceptual modeling, intelligent systems and knowledge management.




Signs of Logic


Book Description

Charles Sanders Peirce (1839-1914) was one of the United States’ most original and profound thinkers, and a prolific writer. Peirce’s game theory-based approaches to the semantics and pragmatics of signs and language, to the theory of communication, and to the evolutionary emergence of signs, provide a toolkit for contemporary scholars and philosophers. Drawing on unpublished manuscripts, the book offers a rich, fresh picture of the achievements of a remarkable man.




Logical Modalities from Aristotle to Carnap


Book Description

Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.