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Author: Paul Shields
Publisher:
ISBN: 9780983700470
Category : Mathematics
Languages : en
Pages : 134
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Book Description
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.
Author: Paul Shields
Publisher:
ISBN: 9780983700470
Category : Mathematics
Languages : en
Pages : 134
Get Book Here
Book Description
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.
Author: Paul Bartram Shields
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 213
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Book Description
Author: Charles Sanders Peirce
Publisher: Open Court
ISBN: 0812698525
Category : Philosophy
Languages : en
Pages : 313
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Book Description
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.
Author: Charles Sanders Peirce
Publisher: Harvard University Press
ISBN: 9780674749672
Category : Philosophy
Languages : en
Pages : 318
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Book Description
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.
Author: Alan J. Iliff
Publisher:
ISBN: 9781942795995
Category : Mathematics
Languages : en
Pages : 170
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Book Description
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.
Author: Charles Sanders Peirce
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 296
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Book Description
"These papers, the work of my students, have been so instructive to me, that I have asked and obtained permission to publish them in one volume. Two of them present new developments of the logical algebra of Boole. The volume contains two other papers relating to deductive logic and two papers upon inductive logic"--Preface. (PsycINFO Database Record (c) 2010 APA, all rights reserved)
Author: Kathleen A. Hull
Publisher: Taylor & Francis
ISBN: 1315444631
Category : Education
Languages : en
Pages : 232
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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.
Author: Charles S. Peirce
Publisher: Indiana University Press
ISBN: 0253004691
Category : Philosophy
Languages : en
Pages : 336
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Book Description
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.
Author: Charles S. Peirce
Publisher: Indiana University Press
ISBN: 9780253372017
Category : Literary Criticism
Languages : en
Pages : 680
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Book Description
Volume 8 of this landmark edition follows Peirce from May 1890 through July 1892 -- a period of turmoil as his career unraveled at the U.S. Coast and Geodetic Survey. The loss of his principal source of income meant the beginning of permanent penury and a lifelong struggle to find gainful employment. His key achievement during these years is his celebrated Monist metaphysical project, which consists of five classic articles on evolutionary cosmology. Also included are reviews and essays from The Nation inches.
Author: Gerard Deledalle
Publisher: Indiana University Press
ISBN: 0253108357
Category : Philosophy
Languages : en
Pages : 212
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Book Description
[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
