Download or read book Charles S Peirce on the Logic of Number written by Paul Shields and published by . This book was released on 2012-10-24 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1881 the American philosopher Charles S. Peirce published a remarkable paper in The American Journal of Mathematics called "On the Logic of Number." Peirce's paper marked a watershed in nineteenth century mathematics, providing the first successful axiom system for the natural numbers. Awareness that Peirce's axiom system exists has been gradually increasing but the conventional wisdom among mathematicians is still that the first satisfactory axiom systems were those of Dedekind and Peano. The book analyzes Peirce's paper in depth, placing it in the context of contemporary work, and provides a proof of the equivalence of the Peirce and Dedekind axioms for the natural numbers.
Download or read book Studies in the Logic of Charles Sanders Peirce written by Nathan Houser and published by Indiana University Press. This book was released on 1997-07-22 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents an important contribution to Peirce's work in mathematics and formal logic. An internationally recognized group of scholars explores and extends understandings of Peirce's most advanced work. The stimulating depth and originality of Peirce's thought and the continuing relevance of his ideas are brought out by this major book.
Download or read book Charles S Peirce s Mathematical Logic and Philosophy written by Alan J. Iliff and published by . This book was released on 2018-03-31 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles S. Peirce is generally regarded today as one of the most out-standing philosophers in American history, and especially as the inventor of pragmatism. Nevertheless, he also discovered several of the most important concepts of twentieth-century mathematical logic, including thequantifiers, the interpretation of first-order logic by means of relations, and the concept of logical consequence. There is very little general knowledge of Peirce's influence on the development of mathematical logic andalmost total ignorance of the details of that influence. The main technical results of this book establish that Peirce laid down the main elements of a framework for the model-theoretic line of development in mathematical logic.
Download or read book Peirce on Perception and Reasoning written by Kathleen A. Hull and published by Taylor & Francis. This book was released on 2017-03-27 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Illustrations of the Logic of Science written by Charles Sanders Peirce and published by Open Court. This book was released on 2014-05-19 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Peirce’s Illustrations of the Logic of Science is an early work in the philosophy of science and the official birthplace of pragmatism. It contains Peirce’s two most influential papers: “The Fixation of Belief” and “How to Make Our Ideas Clear,” as well as discussions on the theory of probability, the ground of induction, the relation between science and religion, and the logic of abduction. Unsatisfied with the result and driven by a constant, almost feverish urge to improve his work, Peirce spent considerable time and effort revising these papers. After the turn of the century these efforts gained significant momentum when Peirce sought to establish his role in the development of pragmatism while distancing himself from the more popular versions that had become current. The present edition brings together the original series as it appeared in Popular Science Monthly and a selection of Peirce’s later revisions, many of which remained hidden in the mass of messy manuscripts that were left behind after his death in 1914.
Download or read book Reasoning and the Logic of Things written by Charles Sanders Peirce and published by Harvard University Press. This book was released on 1992 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Sanders Peirce (1839-1914) was an American philosopher, physicist, mathematician and founder of pragmatism. This book provides readers with philosopher's only known, complete account of his own work. It comprises a series of lectures given in Cambridge, Massachusetts in 1898.
Download or read book Chance Love and Logic written by Charles Sanders Peirce and published by New York : G. Braziller, 1956 [c1923]. This book was released on 1923 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Writings of Charles S Peirce Volume 5 1884 1896 written by Charles S. Peirce and published by Indiana University Press. This book was released on 1993-12-22 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Highly recommended." —Choice " . . . an important event for the world of philosophy. For the first time we have available in an intelligible form the writings of one of the greatest philosophers of the past hundred years." —The Times Literary Supplement Volume 5 of this landmark edition covers an important transition in Peirce's life, marked by a rekindled enthusiasm for speculative philosophy. The writings include essays relating to his all-embracing theory of categories as well as papers on logic and mathematics.
Download or read book Collected Papers of Charles Sanders Peirce written by Charles Sanders Peirce and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Mathematics written by Charles S. Peirce and published by Indiana University Press. This book was released on 2010-08-19 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.
Download or read book The Normative Thought of Charles S Peirce written by Cornelis De Waal and published by Fordham Univ Press. This book was released on 2012-07-03 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of eleven essays on the moral philosophy of the American Polymath Charles S. Peirce (18391914). The essays cover the three normative sciences that Peirce distinguishes (esthetics, ethics, and logic), and their relation to metaphysics.
Download or read book Relations Between Logic and Mathematics in the Work of Benjamin and Charles S Peirce written by Alison Walsh and published by . This book was released on 2012 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a discussion of Benjamin Peirce’s linear associative algebra and then considers this and other early influences on the logic of is son, C. S. Peirce. A discussion of the early algebraic logicians such as Boole, Jevons and De Morgan follows, culminating in a detailed analysis of C. S. Peirce’s seminal paper “Description of a Notation for the Logic of Relatives.” His further developments of the 1880s, including quantificational logic are also traced. At the end of his life, Peirce looked to his graphical logic system - the existential graphs - to provide the logic of the future.
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.
Download or read book Charles S Peirce s Philosophy of Signs written by Gerard Deledalle and published by Indiana University Press. This book was released on 2001-03-22 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Note: Picture of Peirce available] Charles S. Peirce's Philosophy of Signs Essays in Comparative Semiotics Gérard Deledalle Peirce's semiotics and metaphysics compared to the thought of other leading philosophers. "This is essential reading for anyone who wants to find common ground between the best of American semiotics and better-known European theories. Deledalle has done more than anyone else to introduce Peirce to European audiences, and now he sends Peirce home with some new flare." -- Nathan Houser, Director, Peirce Edition Project Charles S. Peirce's Philosophy of Signs examines Peirce's philosophy and semiotic thought from a European perspective, comparing the American's unique views with a wide variety of work by thinkers from the ancients to moderns. Parts I and II deal with the philosophical paradigms which are at the root of Peirce's new theory of signs, pragmatic and social. The main concepts analyzed are those of "sign" and "semiosis" and their respective trichotomies; formally in the case of "sign," in time in the case of semiosis. Part III is devoted to comparing Peirce's theory of semiotics as a form of logic to the work of other philosophers, including Bertrand Russell, Wittgenstein, Frege, Philodemus, Lady Welby, Saussure, Morris, Jakobson, and Marshall McLuhan. Part IV compares Peirce's "scientific metaphysics" with European metaphysics. Gérard Deledalle holds the Doctorate in Philosophy from the Sorbonne. A research scholar at Columbia University and Attaché at the Centre National de la Recherche Scientifique, Paris, he has also been Professor of Philosophy and Head of the Philosophy Department of the universities of Tunis, Perpignan, and Libreville. In 1990 he received the Herbert W. Schneider Award "for distinguished contributions to the understanding and development of American philosophy. In 2001, he was appointed vice-president of the Charles S. Peirce Society. Contents Introduction -- Peirce Compared: Directions for Use Part I -- Semeiotic as Philosophy Peirce's New Philosophical Paradigms Peirce's Philosophy of Semeiotic Peirce's First Pragmatic Papers (1877-1878) The Postscriptum of 1893 Part II -- Semeiotic as Semiotics Sign: Semiosis and Representamen -- Semiosis and Time Sign: The Concept and Its Use -- Reading as Translation Part III -- Comparative Semiotics Semiotics and Logic: A Reply to Jerzy Pelc Semeiotic and Greek Logic: Peirce and Philodemus Semeiotic and Significs: Peirce and Lady Welby Semeiotic and Semiology: Peirce and Saussure Semeiotic and Semiotics: Peirce and Morris Semeiotic and Linguistics: Peirce and Jakobson Semeiotic and Communication: Peirce and McLuhan Semeiotic and Epistemology: Peirce, Frege, and Wittgenstein Part IV -- Comparative Metaphysics Gnoseology -- Perceiving and Knowing: Peirce, Wittgenstein, and Gestalttheorie Ontology -- Transcendentals "of" or "without" Being: Peirce versus Aristotle and Thomas Aquinas Cosmology -- Chaos and Chance within Order and Continuity: Peirce between Plato and Darwin Theology -- The Reality of God: Peirce's Triune God and the Church's Trinity Conclusion -- Peirce: A Lateral View
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 684 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.
Download or read book Studies in Logic written by Charles Sanders Peirce and published by . This book was released on 1883 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Peirce to Skolem written by Geraldine Brady and published by Elsevier. This book was released on 2000-11-22 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schröder, Leopold Löwenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.
