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on the mystical, mathematical and cosmological symbolism of the first ten numbers

by Iamblichus (245-325); Waterfield, Robin ; Critchlow, Keith

TRANSLATED FROM THE GREEK BY ROBIN WATERFIELD


WITH A FOREWORD BY KEITH CRITCHLOW


A Kairos Book


PHANES PRESS

Other translations by Robin Waterfield:

  • Plato: Philebus Penguin Books, 1982
  • Plato: Theaetetus Penguin Books, 1987
  • Plato: Early Socratic Dialogues Penguin Books, 1987 with T.J. Saunders, et al.
  • Xenophon: Conversations of Socrates Penguin Books, 1990 with H. Tredennick
  • Plutarch: Essays Penguin Books, 1990
  • Epicurus: Letter on Happiness Rider, 1993
  • Plato: Republic Oxford University Press, 1993
  • Plato: Symposium Oxford University Press, 1994
  • Plato: Gorgias Oxford University Press, 1994
  • Plato: Statesman Cambridge University Press, 1995
  • Aristotle: Physics Oxford University Press, 1996

© 1988 by Kairos


All rights reserved. No part of this publication may be reproduced or transmitted in any form, with the exception of short excerpts used in reviews, without permission in writing from publisher.

96 2 Published by Phanes Press, PO Box 6114, Grand Rapids, Michigan 49516, usa.

Designed by David R. Fideler Printed and bound in the United States

Find us online at: http://www.phanes.com

This book is printed on alkaline paper which conforms to the permanent paper standard developed by the National Information Standards Organization.

Library of Congress Cataloging-in-Publication Data

Iamblichus, ca. 250-ca. 330

[Theological principles of arithmetic. English]

The theology of arithmetic: on the mystical, mathematical and cosmological symbolism of the first ten numbers / attributed to Iamblichus, translated from the Greek by Robin Waterfield; with a foreword by Keith Critchlow.

p. cm.

Translation of: Theological principles of arithmetic.

Bibliography: p. ISBN 0-933999-71-2 (alk. paper). ISBN 0-933999-72-0 (pbk.: alk paper).

1. Symbolism of numbers—Early works to 1800. 2. Pythagoras and Pythagorean school—Early works to 1800. I. Waterfield, Robin A. H. II. Title.

B669.Z711713 1988

119—dc19 88-23012

CIP

To Pythagoras who taught that for health, art and science are inseparable “By him that gave to our generation the Tetraktys, which contains the fount and root of eternal nature” (Pythagorean oath} and to Steve Lee, reluctant arithmologist

Contents

  • Foreword by Keith Critchlow 9
  • Introduction by Robin 23
  • The Theology of Arithmetic 33
    • On the Μοnad 35
    • On the Dyad 41
    • On the Triad 49
    • On the Tetrad 55
    • On the Pentad 65
    • On the Hexad 75
    • On the Meptad 87
    • On the Octad 101
    • On the Ennead 105
    • On the Decad 109
  • Glossary 117
  • Biography 123
  • Bibliography 127