Relations Between Logic And Mathematics In The Work Of Benjamin And Charles S Peirce
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Relations Between Logic And Mathematics In The Work Of Benjamin And Charles S Peirce
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Author : Alison Walsh
language : en
Publisher:
Release Date : 2012
Relations Between Logic And Mathematics In The Work Of Benjamin And Charles S Peirce written by Alison Walsh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Logic, Symbolic and mathematical categories.
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.
Reasoning And The Logic Of Things
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Author : Charles Sanders Peirce
language : en
Publisher: Harvard University Press
Release Date : 1992
Reasoning And The Logic Of Things written by Charles Sanders Peirce and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Philosophy categories.
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.
Studies In The Logic Of Charles Sanders Peirce
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Author : Nathan Houser
language : en
Publisher: Indiana University Press
Release Date : 1997-07-22
Studies In The Logic Of Charles Sanders Peirce written by Nathan Houser and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-22 with Philosophy categories.
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.
Studies In Logic By Members Of The Johns Hopkins University 1883
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Author : Charles S. Peirce
language : en
Publisher: John Benjamins Publishing
Release Date : 1983-01-01
Studies In Logic By Members Of The Johns Hopkins University 1883 written by Charles S. Peirce and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Philosophy categories.
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.
Philosophy Of Mathematics
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Author : Charles S. Peirce
language : en
Publisher: Indiana University Press
Release Date : 2010-08-19
Philosophy Of Mathematics written by Charles S. Peirce and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-19 with Philosophy categories.
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.
From Peirce To Skolem
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Author : Geraldine Brady
language : en
Publisher: Elsevier
Release Date : 2000-11-22
From Peirce To Skolem written by Geraldine Brady and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-22 with Computers categories.
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.
Diagrams Visual Imagination And Continuity In Peirce S Philosophy Of Mathematics
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Author : Vitaly Kiryushchenko
language : en
Publisher: Springer Nature
Release Date : 2023-05-12
Diagrams Visual Imagination And Continuity In Peirce S Philosophy Of Mathematics written by Vitaly Kiryushchenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-12 with Mathematics categories.
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.
Studies In Logic
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Author : Charles Sanders Peirce
language : en
Publisher: Boston : Little, Brown
Release Date : 1883
Studies In Logic written by Charles Sanders Peirce and has been published by Boston : Little, Brown this book supported file pdf, txt, epub, kindle and other format this book has been release on 1883 with Logic, Symbolic and mathematical categories.
Peirce On Perception And Reasoning
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Author : Kathleen A. Hull
language : en
Publisher: Taylor & Francis
Release Date : 2017-03-27
Peirce On Perception And Reasoning written by Kathleen A. Hull and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Education categories.
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.
Collected Papers Of Charles Sanders Peirce
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Author : Charles Sanders Peirce
language : en
Publisher: Belknap Press
Release Date : 1933
Collected Papers Of Charles Sanders Peirce written by Charles Sanders Peirce and has been published by Belknap Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1933 with Philosophy categories.
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.