Infinity in the Presocratics: A Bibliographical and Philosophical Study

253 Pages·1972·13.08 MB·English

by  Leo Sweeney S. J. (auth.)

INFINITY IN THE PRESOCRA TICS:
A BIBLIOGRAPHICAL AND PHILOSOPHICAL STUDY
Infinity in the Presocratics:
A BmLIOGRAPHICAL AND PHILOSOPHICAL STUDY
by
LEO SWEENEY, S. J.
The Catholic University of America
Foreword
by
JOSEPH OWENS, C. S8. R.
Pontifical Institute of Mediaeval Studies
I I
MARTINUS NIJHOFF / THE HAGUE /1972
@ 1972 by Martinus Nijhoff, The Hague, Netherlands
All rights reserved, including the right to translate or to reproduce this book or
parts thereof in any form
ISBN-13:978-90-247-1170-3 e-1SBN-13:978-94-010-2729-8
DOl: 10.1007/978-94-010-2729-8
To
Lee and Adrian Powell,
James, John, Jeffrey,
Jean, Jay, Jane,
Jerry and Mary Ann
TABLE OF CONTENTS
Abbreviations
IX
Permissions
XIV
Foreword by Joseph Owens xvn
Introduction xx
Mondolfo
XXIII
Sinnige xxvn
Methodology and acknowledgements
XXXI
CHAPTER ONE: SECONDARY LITERATURE ON ANAXIMANDER 1
Ancient Sources 2
Recent Studies on Anaximander 5
Vlastos, Jaeger, Burch, Kraus 5
Cherniss, Cornford, Matson, McDiarmid 8
HOlscher, Kirk 14
Wisniewski, Kahn 20
Guazzoni Foa, Solmsen, Classen 26
Paul Seligman 29
Guthrie, Gottschalk 33
F. M. Cleve 39
Stokes, Bicknell 41
Other Studies? 49
CHAPTER Two: ANAXIMANDER AND OTHER IONIANS 55
Anaximander 55
Anaximenes, Xenophanes, Heraclitus 65
Conclusion 73
CHAPTER THREE: PYTHAGORAS 74
J. E. Raven 75
vm TA BLE OF CONTENTS
J. A. Philip 84
Conclusions 91
CHAPTER FOUR: THE ELEATICS 93
Parmenides 93
Burnet, Raven and Guthrie 94
Joseph Owens 97
Loenen 99
Taran 102
Conclusions 105
Zeno 110
Jesse De Boer 112
H. N. Lee 117
Conclusions 119
Melissus 124
Fragment 9 125
Fragment 7 127
Fragment 3 129
Conclusions 130
CHAPTER FIVE: POST-PARMENIDEAN PHILOSOPHERS 136
Empedocles 137
Anaxagoras 144
Infinity and Matter 146
Infinity and Mind 151
Conclusions 155
The Atomists 155
Atomists and Parmenides 156
Indivisibility 161
Infinity 169
CHAPTER SIX: IN RETROSPECT 174
Appendix: Additional Studies on Anaximander 180
Bibliography 185
Index of Topics 206
Index of Passages 214
Index of Names 218
ABBREVIATIONS
The following list gives abbreviations of studies frequently referred to
within the text or footnotes, as well as in "Bibliography" infra. Ab
breviations for titles of journals are ordinarily those given in L'annee
philologique (Paris: Societe d'Edition "Les Belles Lettres").
ABG Archiv fur Begriffsgeschichte (Bonn: Bouvier).
AC L'Antiquite Classique (Louvain).
AFC Anales de Filologia Clasica (Buenos Aires: Fac. de Filos. y
Letras).
AGPh Archiv fur Geschichte der Philosophie (Berlin: W. de Gruyter).
AIPhO Annuaire de l'lnstitut de Philologie et d'Histoire Orientales de
l'Universite Libre de Bruxelles (Bruxelles: Secret. de l'Institut).
AlP American JournaL of PhiloLogy (Baltimore: Johns Hopkins U.
Press).
APQ American Philosophical Quarterly (Pittsburgh, Pa.: University
of Pittsburgh).
ASSPh Annuaire de La Societe Suisse de Philosophie (Basel: Verl. fUr
Recht und Gesellschaft).
BAGB Bulletin de l'Association G. Bude (Paris: Les Belles Lettres).
Bailey Cyril Bailey, The Greek Atomists and Epicurus (Oxford: Claren
don Press, 1928).
Bicknell Bicknell, P. J. "To apeiron, apeiros aer and to periechon,"
Acta Classica, 9 (1966), 27-48.
BIPS British Journal for the Philosophy of Science (Cambridge
University Press).
Burnet, EGP John Burnet, Early Greek Philosophy (London: A. and
C. Black, Ltd., [4th ed.] 1930).
Cherniss, ACPP Harold Cherniss, Aristotle's Criticism of Presocratic
Philosophy (New York: Octagon Books, Inc., 1964).
x ABBREVIATIONS
CJ Classical Journal (Athens, Ohio: Ohio University).
CP Classical Philology (Chicago: University of Chicago Press).
CQ Classical Quarterly (Oxford University Press).
Cornford,PP F. M. Cornford, Plato and Parmenides. Parmenides' "Way
of Truth" and Plato's "Parmenides" Translated with an Introduc
tion and a Running Commentary (New York: Liberal Arts
Press, 1957).
Cornford, Prin. Sap. F. M. Cornford, Principium Sapientiae: The Origins
of Greek Philosophical Thought (Cambridge: University Press,
1952).
CR Classical Review (Oxford University Press).
CW The Classical World (Newark, N.J.: Rutgers State University).
DK Diels, H. and Kranz, W. Die Fragmente der Vorsokratiker, 3
vols. (ZUrich: Weidmann, [6th ed.] 1951; reprinted 1966).
EP Encyclopedia of Philosophy, ed. Paul Edwards (New York: The
Macmillan Company and the Free Press, 1967).
Frankel, Wege und Fo rmen Hermann Frankel, Wege und F ormen friih
griechischen Denkens, herausgegeben von Franz Tietze (2nd
ed.; MUnchen: C. H. Beck, 1960).
Frankel, Dichtung Hermann Frankel, Dichtung und Philosophie des
friihen Griechentums (2nd ed.; Munchen: C. H. Beck, 1962).
Furley. David J. Furley, Two Studies in Greek Atomists: Indivisible
Magnitudes: Aristotle and Epicurus on Voluntary Action
(Princeton University Press, 1967).
Furley "Aristotle and the Atomists" David J. Furley, "Aristotle and
the Atomists on Infinity," Naturphilosophie bei Aristoteles und
Theophrast (Verhandlungen des 4. Symposium Aristotelicum).
(Heidelberg: Lothar Stiehm, 1969). Pp. 85-96.
G w. K. C. Guthrie, A History of Greek Philosophy. Volume
One: The Earlier Presocratics and the Pythagoreans. Volume
Two: The Presocratic Tradition from Parmenides to Democritus.
(Cambridge: University Press, 1962 and 1965).
GM Giornale de Metajisica (Genova: Universita).
Heath Sir Thomas Heath, A History of Greek Mathematics. Volume
One: From Thales to Euclid. Volume Two: From Aristarchus
to Diophantus (Oxford: Clarendon Press, 1921).
HSCP Harvard Studies in Classical Philology (Cambridge, Mass.:
Harvard University Press).
IPQ I nternational Philosophical Quarterly (New York: Fordham
University Press).
ABBREVIA TIONS XI
Jaeger, TEGP Werner Jaeger, The Theology of the Early Greek
Philosophers (Oxford: Clarendon Press, 1947).
'HI Journal of the History of Ideas (New York: College of the City
of New York).
JHP Journal of the History of Philosophy (Berkeley: University of
California Press).
IRS Journal of Hellenic Studies (London).
IP Journal of Philosophy (Columbia University).
Kahn Charles H. Kahn, Anaximander and the Origins of Greek
Cosmology (New York: Columbia University Press, 1960).
Kerferd G. B. Kerferd, "'Recent Work on Presocratic Philosophers,"
American Philosophical Quarterly, 2 (1965), 130-40.
Kerschensteiner Jula Kerschensteiner, Kosmos: Quellenkritische Unter
suchungen zu den Vorsokratikern (Munchen: C. H. Beck, 1962).
KR G. S. Kirk and J. E. Raven, The Presocratic Philosophers. A
Critical History with a Selection of Texts (Cambridge: Univer
sity Press, [4th printing] 1963).
Krober Gunter Krober, Wissenschaft und Weltanschauung in der Antike
von den Anfiingen bis Aristoteles (Berlin: VEB Deutscher Verlag
der Wissenschaften, 1966).
Loenen J. H. M. M. Loenen, Parmenides, Melissus, Gorgias. A Reinter
pretation of Eleatic Philosophy (Assen: Royal Van Gorcum Ltd.,
1959).
LThPh Laval TMologique et Philosophique (Quebec; Ed. de l'Universite
Laval).
MH Museum Helveticum. Revue Suisse pour l'Etude de I'Antiquite
classique (Bale: Schwabe).
Mondolfo Rodolfo Mondolfo, L'infinito nel pensiero dell'antichita clas
sica (Firenze: "La Nuova Italia" Editrice, 1956).
Mourelatos A. P. D. Mourelatos. The Route of Parmenides (New Haven:
Yale U. Press, 1970).
MS Mediaeval Studies (Toronto: Pontifical Inst. of Mediaeval
Studies).
NeE The New Catholic Encyclopedia (New York: McGraw-Hill
Book Company, 1967).
NS The New Scholasticism (Washington, D.C.: The American
Catholic Philosophical Association).
Owens, Hist. Joseph Owens, C. Ss. R., A History of Ancient Western
Philosophy (New York: Appleton-Century-Crofts, Inc., 1959).
PAS Proceedings of the Aristotelian Society (Great Britain).
XII ABBREVIA TIONS
Philip J. A. Philip, Pythagoras and Early Pythagoreanism (Toronto:
University Press, 1966).
PQ Philosophical Quarterly (St. Andrews, Scotland: University of
St. Andrews Press).
PR Philosophical Review (Ithaca, New York: Cornell University).
Raven, PE J. E. Raven, Pythagoreans and Eleatics: An Account of the
Interaction Between the Two Opposed Schools During the Fifth
and Early Fourth Centuries B. C. (Cambridge: University Press,
1948).
RE Realencyclopadie des klassischen Altertums, ed. Wissowa, Kroll
et al. (Stuttgart: J. B. Metzler; Alfred Druckenmiiller, 1892- ).
RecSR Recherches de Science Religieuse (Paris).
REG Revue des Etudes Grecques (Paris: Les Belles Lettres).
RFil (Madrid) Revista de Filosofia (Madrid: lnst. Luis Vives).
RFNS Revista di Filosofia Neo-scolastica (Italy).
RhM Rheinisches Museum (Frankfurt: Sauerlander).
RM Review of Metaphysics (Catholic U. of America).
RPhilos Revue philosophique de la France et l'Etranger.
RPhL Revue Philosophique de Louvain (Louvain: Institut Superieur
de Philosophie).
RIL Rendiconti dell'Istituto Lombardo (Milano: 1st. Lombardo).
RMM Revue de Metaphysique et de Morale (Paris: Colin).
RPh Revue de Philologie (Paris: Klincksieck).
RS Revue de Synthese (Paris: Albin Michel).
RSF Revista critica di Storia della Filoso/ia (Firenze: La Nuova
Italia).
RSPh Revue des Sciences Philosophiques et Theologiques (Paris:
Vrin).
SIFC Studi Italiani di Filologia Classica (Firenze: Le Monnier).
Sinnige Theo Gerard Sinnige, Matter and Infinity in the Presocratic
Schools and Plato (Assen: Van Gorcum and Company; New
York: Humanities Press, 1968).
Solmsen, Aristotle's System Friedrich Solmsen, Aristotle's System of the
Physical World. A Comparison with his Predecessors (Ithaca,
New York: Cornell University Press, 1960).
Stokes Stokes. M. C. "Hesiodic and Milesian Cosmogonies," Phronesis,
7 (1962), 1-25 and 8 (1963), 1-34.
TAPA Transactions and Proceedings of the American Philological As
sociation (Cleveland: Press of Case Western Reserve University).
Tanin Leonardo Tanin. Parmenides. A Text with Translation, Com-