The Logical Foundations of the Marxian Theory of Value

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SYNTHESE LIBRARY STUDIES IN EPISTEMOLOGY, LOGIC, METHODOLOGY, AND PHILOSOPHY OF SCIENCE

Managing Editor:

JAAKKO HINTIKKA, Boston University Editors:

DONALD DAVIDSON, University of California. Berkeley GABRIEL NUCHELMANS, University ofLeyden WESLEY C. SALMON, University ofPittsburgh

VOLUME 223

THE LOGICAL FOUNDATIONS

OF THE MARXIAN THEORY OF VALUE

ADOLFO GARCIA DE LA SIENRA Institute of Philosophical Research. Universidad Nacional Aut6noma de Mexico

SPRINGER SCIENCE+BUSINESS MEDIA, B.V.

Library of Congress Cataloging-in-Publication Data Garcia de la Sienra, Adolfo The logical foundations of the Marxian theory of value Garcia de la Sienra. p. cm. -- (Synthese library; v. 223) Includes bibliographical references and index.

I

Adolfo

ISBN 978-94-010-5193-4 ISBN 978-94-011-2694-6 (eBook) DOI 10.1007/978-94-011-2694-6

1. Surplus value. 2. Labor theory of value. I. Title. 11. Series. economlCS. HE!20S.G34 1992 335.4' 12--dc20

3. Marxlan 92-14028

ISBN 978-94-010-5193-4

Printed on acid-free paper

All Rights Reserved © 1992 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1992 Softcover reprint of the hardcover 1st edition 1992 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.

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TABLE OF CONTENTS

INTRODUCTION 1 THE PROTOTYPE OF MARX'S LABOR THEORY OF VALUE

1.1 Marx's concept of value 1.2 Description of the prototype 1.3 Mathematical modeling of the prototype 2 THE PROBLEM OF FOUNDATIONS

2.1 The sense and import of the Law of value 2.2 The problem of generalizing the prototype 2.3 A concise history of MTV 3 STRUCTURES AND REPRESENTATIONS 3.1 Structures 3.2 Representations 3.2.1 The ontological framework 3.2.2 A case of representation

7

8 18 20 41 42 53 54 63 64 76 76 80

4 THE DIALECTICAL METHOD 4.1 Hegel's dialectical method 4.2 The Marxian "inversion" of Hegel's dialectic 4.3 A new formulation of dialectic 4.3.1 The theological framework 4.3.2 Dialectic revisited 4.3.3 The dialectic of the theory of value 4.3.3.1 Dialectic as model construction 4.3.3.2 Dialectic as theory construction 4.3.3.3 The dialectical method in axiomatic systems

91 92 99 104 104 110 115 117 122 125

5 ABSTRACT LABOR 5.1 Krause's treatment of abstract labor 5.2 The concept of abstract labor 5.3 The existence of abstract labor

129 133 137 142 149

5.4 The representation of abstract labor

viii

TABLE OF CONTENTS

6 THE GENERAL AXIOMS OF THE THEORY

6.1 A general market economy 6.2 The Fundamental Marxian Theorem

159 161 175

7 GENERAL REPRODUCIBILITY

179

8 THE PROTOTYPE REVISITED

191 192 193

8.1 The Leontief economy 8.2 Mathematical modeling of the Leontief economy NOTES

207

BIBLIOGRAPHY

213

NAME INDEX

219

SUBJECT INDEX

221

INTRODUCTION

Mter the impressive collapse ofthe Soviet Union and the Eastern European socialist coun