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Relations Between Logic And Mathematics In The Work Of Benjamin And Charles S Peirce
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Book Synopsis Relations Between Logic and Mathematics in the Work of Benjamin and Charles S. Peirce by : Alison Walsh
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.
Book Synopsis From Peirce to Skolem by : Geraldine Brady
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.
Book Synopsis Philosophy of Mathematics by : Charles S. Peirce
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.
Book Synopsis Studies in Logic by : Charles Sanders Peirce
Download or read book Studies in Logic written by Charles Sanders Peirce and published by Boston : Little, Brown. This book was released on 1883 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reasoning and the Logic of Things by : Charles Sanders Peirce
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.
Book Synopsis Collected Papers of Charles Sanders Peirce by : Charles Sanders Peirce
Download or read book Collected Papers of Charles Sanders Peirce written by Charles Sanders Peirce and published by Belknap Press. This book was released on 1933 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the published contributions of one of the founders of modern logic and America's greatest logical genius. It is not only of historical but of contemporary interest because of its many acute discussions of fundamental logical problems. To assist the general reader, the editors have prefixed to the text a selected list of important topics and have provided many footnotes and an exhaustive index. The present, the longest volume of the series of Peirce's Collected Papers, reveals most clearly his stature as a logician and a student of the foundations of mathematics. It includes not only some striking anticipations of recent work in logic and the foundations of mathematics but also a number of vital contributions to these subjects as now understood. In addition there is an entirely original treatment of logical diagrams which makes possible a detailed analysis of the process of reasoning and provides the link between modern logic and Peirce's conception of pragmatism. It is the most advanced and important of the volumes on exact logic.
Book Synopsis 'Studies in Logic' by Members of the Johns Hopkins University (1883) by : Charles S. Peirce
Download or read book 'Studies in Logic' by Members of the Johns Hopkins University (1883) written by Charles S. Peirce and published by John Benjamins Publishing. This book was released on 1983-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a facsimile reprint of the 1883 Boston edition of Studies in Logic by Members of the Johns Hopkins University, edited by Charles S. Peirce. In relation to this work there are three mutually related aspects of Peirce’s thought which deserve to be particularly emphasized: the community structure of science as propagated and practiced by Peirce; his consideration of the fundamental relationship between logic and semiotics; and his emphatic plea for a historisation of science and, hence, of semiotics. Peirce’s Studies in Logic is preceded in this volume by a portrait of Peirce as scientist, mathematician, historian, logician and philosopher by Max. H. Fisch, and a history of semiotics and Charles S. Peirce by Achim Eschbach.
Book Synopsis Studies in the Scientific and Mathematical Philosophy of Charles S. Peirce by : Carolyn Eisele
Download or read book Studies in the Scientific and Mathematical Philosophy of Charles S. Peirce written by Carolyn Eisele and published by Studies in Philosophy. This book was released on 1979 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Studies in the Scientific and Mathematical Philosophy of Charles S. Peirce".
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 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.
Book Synopsis Studies in the Logic of Charles Sanders Peirce by : Nathan Houser
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.
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 Modern Logic 1850-1950, East and West by : Francine F. Abeles
Download or read book Modern Logic 1850-1950, East and West written by Francine F. Abeles and published by Birkhäuser. This book was released on 2016-05-26 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Charles Sanders Peirce. Anellis’s association with the Russian logic community introduced their school of logic to a wider audience in the USA, Canada and Western Europe. In addition, the collection takes a historical perspective on proof theory and the development of logic and mathematics in Eastern Logic, the Soviet Union and Russia. The book will be of interest to historians and philosophers in logic and mathematics, and the more specialized papers will also appeal to mathematicians and logicians.
Book Synopsis The Bloomsbury Encyclopedia of Philosophers in America by : John R. Shook
Download or read book The Bloomsbury Encyclopedia of Philosophers in America written by John R. Shook and published by Bloomsbury Publishing. This book was released on 2016-02-11 with total page 1105 pages. Available in PDF, EPUB and Kindle. Book excerpt: For scholars working on almost any aspect of American thought, The Bloomsbury Encyclopedia to Philosophers in America presents an indispensable reference work. Selecting over 700 figures from the Dictionary of Early American Philosophers and the Dictionary of Modern American Philosophers, this condensed edition includes key contributors to philosophical thought. From 1600 to the present day, entries cover psychology, pedagogy, sociology, anthropology, education, theology and political science, before these disciplines came to be considered distinct from philosophy. Clear and accessible, each entry contains a short biography of the writer, an exposition and analysis of his or her doctrines and ideas, a bibliography of writings and suggestions for further reading. Featuring a new preface by the editor and a comprehensive introduction, The Bloomsbury Encyclopedia to Philosophers in America includes 30 new entries on twenty-first century thinkers including Martha Nussbaum and Patricia Churchland. With in-depth overviews of Waldo Emerson, Margaret Fuller, Noah Porter, Frederick Rauch, Benjamin Franklin, Thomas Paine and Thomas Jefferson, this is an invaluable one-stop research volume to understanding leading figures in American thought and the development of American intellectual history.
Book Synopsis Illustrations of the Logic of Science by : Charles Sanders Peirce
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.
Book Synopsis Charles S. Peirce's Mathematical Logic and Philosophy by : Alan J. Iliff
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.
Book Synopsis Charles S. Peirce on the Logic of Number by : Paul Bartram Shields
Download or read book Charles S. Peirce on the Logic of Number written by Paul Bartram Shields and published by . This book was released on 1981 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Peirce's Theory of Scientific Discovery by : Richard Allen Tursman
Download or read book Peirce's Theory of Scientific Discovery written by Richard Allen Tursman and published by . This book was released on 1987 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
