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The Rule of Reason The Philosophy of Charles Sanders Peirce Charles Sanders Peirce (1839-1914), the founder of Pragmatism, was an American philosopher, logician, physicist, and mathematician. Since the publication of his Collected Papers began in 1931, interest in Peirce has grown dramatically. His work has found audiences in such disciplines as philosophy, computer science, logic, film studies, semiotics, and literary criticism. While Peirce scholarship has advanced considerably since its earliest days, many controversies of interpretation persist, and several of the more obscure aspects of his work remain poorly understood. The Rule of Reason is a collection of original essays examining Peirce's thought by some of the best-known scholars in the field. The contributors investigate outstanding issues and difficulties in his philosophy and situate his views in both their historical and their contemporary contexts. Some of the essays clarify aspects of Peirce's philosophy, some defend its contemporary significance, and some do both. The essays explore Peirce's work from various perspectives, considering the philosophical significance of his contributions to logic; the foundations of his philosophical system; his metaphysics and cosmology; his theories of inquiry and truth; and his theories of mind, agency, and selfhood. J A C Q U E L I N E B R U N N I N G is an associate professor in the Department of Philosophy at the University of Toronto. PAUL FORSTER is an assistant professor in the Department of Philosophy at the University of Ottawa. This page intentionally left blank The Rule of Reason The Philosophy of Charles Sanders Peirce EDITED BY Jacqueline Brunning and Paul Forster U N I V E R S I T Y OF TORONTO PRESS Toronto Buffalo London www.utppublishing.com © University of Toronto Press Incorporated 1997 Toronto Buffalo London Printed in Canada ISBN 0-8020-0829-1 (cloth) ISBN 0-8020-7819-2 (paper) Printed on acid-free paper Toronto Studies in Philosophy Editors: James R. Brown and Calvin Normore Canadian Cataloguing in Publication Data Main entry under title: The rule of reason (Toronto studies in philosophy) ISBN 0-8020-0829-1 (bound) ISBN 0-8020-7819-2 (pbk.) 1. Peirce, Charles S. (Charles Sanders), 18391914 - Criticism and interpretation. I. Brunning, Jacqueline, 1934- . II. Forster, Paul, 1957- . III. Series. B945.P44R85 1997 191 C96-931389-6 University of Toronto Press acknowledges the financial assistance to its publishing program of the Canada Council and the Ontario Arts Council. In memory of David Savan (1916-1992) This page intentionally left blank Contents ABBREVIATIONS IX ACKNOWLEDGMENTS xi Introduction 3 Jacqueline Brunning and Paul Forster The Place of C.S. Peirce in the History of Logical Theory Jaakko Hintikka Inference and Logic According to Peirce Isaac Levi 13 34 The Logical Foundations of Peirce's Indeterminism 57 Paul Forster A Tarski-Style Semantics for Peirce's Beta Graphs Robert W. Burch 81 The Tinctures and Implicit Quantification over Worlds Jay Zeman 96 Pragmatic Experimentalism and the Derivation of the Categories Sandra B. Rosenthal Classical Pragmatism and Pragmatism's Proof Richard S. Robin 120 139 The Logical Structure of Idealism: C.S. Peirce's Search for a Logic of Mental Processes 153 Helmut Pape viii Contents Charles Peirce and the Origin of Interpretation Carl R. Hausman 185 Sentiment and Self-Control 201 Christopher Hookway A Political Dimension of Fixing Belief Douglas R. Anderson The First Rule of Reason Susan Haack 223 241 The Dynamical Object and the Deliberative Subject Vincen