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Philosophy of Mathematics

Philosophy of Mathematics
Author: Charles S. Peirce
Publisher: Indiana University Press
Total Pages: 336
Release: 2010-08-19
Genre: Philosophy
ISBN: 0253004691

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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.


Studies in the Logic of Charles Sanders Peirce

Studies in the Logic of Charles Sanders Peirce
Author: Nathan Houser
Publisher: Indiana University Press
Total Pages: 680
Release: 1997-07-22
Genre: Philosophy
ISBN: 9780253330208

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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.


Charles S. Peirce and the Philosophy of Science

Charles S. Peirce and the Philosophy of Science
Author: Edward C. Moore
Publisher: University of Alabama Press
Total Pages: 443
Release: 2007-01-07
Genre: Philosophy
ISBN: 0817354166

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A compilation of selected papers presented at the 1989 Charles S. Pierce International Congress Interest in Charles Sanders Peirce (1839-1914) is today worldwide. Ernest Nagel of Columbia University wrote in 1959 that "there is a fair consensus among historians of ideas that Charles Sanders Peirce remains the most original, versatile, and comprehensive philosophical mind this country has yet produced." The breadth of topics discussed in the present volume suggests that this is as true today as it was in 1959. Papers concerning Peirce's philosophy of science were given at the Harvard Congress by representatives from Italy, France, Sweden, Finland, Korea, India, Denmark, Greece, Brazil, Belgium, Spain, Germany, and the United States. The Charles S. Peirce Sesquicentennial International Congress opened at Harvard University on September 5, 1989, and concluded on the 10th—Peirce's birthday. The Congress was host to approximately 450 scholars from 26 different nations. The present volume is a compilation of selected papers presented at that Congress. The philosophy of science and its logic are themes in the work of Charles Peirce that have been of greatest interest to scholars. Peirce was himself a physical scientist. He worked as an assistant at the Harvard Astronomical Observatory from 1869 to 1872 and made a series of astronomical observations there from 1872 to 1875. Solon I. Bailey says of these observations, "The first attempt at the Harvard Observatory to determine the form of the Milky Way, or the galactic system, was made by Charles S. Peirce....The investigation was of a pioneer nature, founded on scant data." Peirce also made major contributions in fields as diverse as mathematical logic and psychology. C. I. Lewis has remarked that "the head and font of mathematical logic are found in the calculus of propositional functions as developed by Peirce and Schroeder." Peirce subsequently invented, almost from whole cloth, semiotics - the science of the meaning of signs. Ogden and Richards, the British critics, say that "by far the most elaborate and determined attempt to give an account of signs and their meanings is that of the American logician C. S. Peirce, from whom William James took the idea and the term Pragmatism, and whose Algebra of Dyadic Relations was developed by Schroeder."


Charles S. Peirce's Mathematical Logic and Philosophy

Charles S. Peirce's Mathematical Logic and Philosophy
Author: Alan J. Iliff
Publisher:
Total Pages: 170
Release: 2018-03-31
Genre: Mathematics
ISBN: 9781942795995

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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.


Charles S. Peirce. Selected Writings on Semiotics, 1894–1912

Charles S. Peirce. Selected Writings on Semiotics, 1894–1912
Author: Francesco Bellucci
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 333
Release: 2020-06-22
Genre: Language Arts & Disciplines
ISBN: 3110607395

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Charles S. Peirce (1839–1914) is widely recognized as America’s greatest philosopher, the originator of pragmatism, and one of the founders of modern mathematical logic. He was also a pioneer in the field of "semiotics," the general theory of signs, and many have regarded him as the father of the contemporary form of the discipline. The volume is a specialized selection of unpublished writings spanning almost twenty years (1894–1913) that are essential to understand Peirce’s views about signs, their classification, and the relations between semiotics and logical inquiry. It comprises twenty-two selections, a historico-critical introduction, and an apparatus of editorial annotations. The selections are prepared following the methods of scholarly editing of philosophical texts. The book will be of interest to graduate students and researchers working in areas such as Peirce studies, the history of American philosophy and pragmatism, logic and history of logic, the history of analytic philosophy, philosophy of language, semiotics, and language sciences.


Mathematical Philosophy

Mathematical Philosophy
Author: Charles S. Peirce
Publisher: de Gruyter
Total Pages: 0
Release: 1976
Genre: Mathematics
ISBN: 9789027930453

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Charles Sanders Peirce was an American philosopher, logician, mathematician, and scientist sometimes known as "the father of pragmatism," and respected for his contributions to logic, mathematics, philosophy, scientific methodology, and semiotics. The New Elements focuses on mathematics--on pure mathematics, the pedagogy of mathematics, the logic, history, and philosophy of mathematics. Peirce argued that mathematics studies purely hypothetical objects and is not just the science of quantity but is more broadly the science which draws necessary conclusions; that mathematics aids logic, not vice versa; and that logic itself is part of philosophy and is the science about drawing conclusions.


Studies in the Scientific and Mathematical Philosophy of Charles S. Peirce

Studies in the Scientific and Mathematical Philosophy of Charles S. Peirce
Author: Carolyn Eisele
Publisher: Studies in Philosophy
Total Pages: 406
Release: 1979
Genre: Biography & Autobiography
ISBN:

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Charles S. Peirce, Phénoménologue Et Sémioticien

Charles S. Peirce, Phénoménologue Et Sémioticien
Author: Gérard Deledalle
Publisher: John Benjamins Publishing
Total Pages: 124
Release: 1990
Genre: Language Arts & Disciplines
ISBN: 9027220670

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This work is the intellectual biography of the greatest of American philosophers. Peirce was not only a pioneer in logic and the creator of a philosophical movement pragmatism he also proposed a phenomenological theory, quite different from that of Husserl, but equal in profundity; and long before Saussure, and in a totally different spirit, a semiotic theory whose present interest owes nothing to passing fashion and everything to its fecundity. Throughout his life Peirce wrote continually about sign and phenomenon (or phaneron). Consequently his writings must be studied chronologically if they are not to appear incomprehensible or contradictory. One of the merits of this book is to clarify Peirce's thought by analysing its development chronologically. We follow the evolution of Peirce's thought from his critique of Kantian logic and Cartesianism (Chap. I, “Leaving the Cave”: 1851-1870) to his discovery of modern logic and pragmatism (Chap. II, “The Eclipse of the Sun”: 1870-1887) and finally to a semiotic founded on a phenomenology the base of which is the logic of relations and the crowning-point scientific metaphysics (Chap. III, “The Sun Set Free”: 1887-1914). The book includes a detailed chronology, a general bibliography, and an index.