Philosophy of Arithmetic Psychological and Logical Investigations wi
In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers f
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EDMUND HUSSERL COLLECTED WORKS EDITOR: RUDOLF BERNET VOLUME X PHILOSOPHY OF ARITHMETIC Psychological and Logical Investigations with Supplementary Texts from 1887-1901
TRANSLATIONS PREPARED UNDER THE AUSPICES OF THE HUSSERL-ARCHIVES (LEUVEN)
A list of titles in this series can be found at the end of this volume.
EDMUND HUSSERL PHILOSOPHY OF ARITHMETIC Psychological and Logical Investigations with Supplementary Texts from 1887-1901
TRANSLATED BY
DALLAS WILLARD School of Philosophy, University of Southern California, Las Angeles
SPRINGER SCIENCE+BUSINESS MEDIA, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress
ISBN 978-1-4020-1603-5 ISBN 978-94-010-0060-4 (eBook) DOI 10.1007/978-94-010-0060-4
Printed an acid-free paper
AH Rights Reserved © 2003 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2003 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permis sion from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.
CONTENTS
TRANSLATOR'S INTRODUCTION ......... .. .................... ........ ........... xiii
PHILOSOPHY OF ARITHMETIC: PSYCHOLOGICAL AND LOGICAL INVESTIGATIONS
Volume One FOREWORD ........ ..... ......................... ... ........ ....................................... ... 5 FIRST PART: THE AUTHENTIC CONCEPTS OF MULTIPLICITY, UNITY AND WHOLE NUMBER ....... ... ......... .. ...... 9 INTRODUCTION .... ............ ............................... ... ... ..... ... ... ...... .... 11 Chapter I: THE ORIGINATION OF THE CONCEPT OF MULTIPLICITY THROUGH THAT OF THE COLLECTIVE COMBINATION ......... ............... .................. .............. ................... 15 The Analysis of the Concept of the Whole Number Presupposes that of the Concept of Multiplicity ......... ... ... ... . 15 The Concrete Bases of the Abstraction Involved ..................... 16 Independence of the Abstraction from the Nature of the Contents Colligated ....... .................... .................................... 17 The Origination ofthe Concept of the Multiplicity through Reflexion on the Collective Mode of Combination ... .. ......... 18 Chapter II: CRITICAL DEVELOPMENTS .... ........ ........... ........... 23 The Collective Unification and the Unification of Partial Phenomena in the Total Field of Consciousness at a Given Moment .. ........................... ........... ........... ... .......... ..... . 23 The Collective "Together" and the Temporal "Simultaneously" .............. .......... ............ ......... .. ............. ...... 25 Collection and Temporal Succession ............................... .. .. .... 26 The Collective Synthesis and the Spatial Synthesis ....... .......... 35 A. F. A. Lange's Theory .. .. .......... .
