Studies on Plato, Aristotle and Proclus Ancient Mediterranean and Medieval Texts and Contexts Editors RobertM.Berchman JacobNeusner Studies in Platonism, Neoplatonism, and the Platonic Tradition Editedby RobertM.Berchman DowlingCollegeandBardCollege JohnF.Finamore UniversityofIowa EditorialBoard JOHNDILLON(TrinityCollege,Dublin)–GARYGURTLER(BostonCollege) JEAN-MARCNARBONNE(LavalUniversity,Canada) VOLUME15 Thetitlespublishedinthisseriesarelistedatbrill.com/spnp Studies on Plato, Aristotle and Proclus Collected Essays on Ancient Philosophy of John J. Cleary Editedby JohnDillon BrendanO’Byrne FranO’Rourke LEIDEN•BOSTON 2013 LibraryofCongressCataloging-in-PublicationData Cleary,JohnJ. StudiesonPlato,Aristotle,andProclus:collectedessaysonancientphilosophyofJohnCleary/ editedbyJohnDillon,BrendanO'Byrne,FranO'Rourke. pagescm.–(AncientMediterraneanandmedievaltextsandcontexts,ISSN1871-188X;v.15) Includesbibliographicalreferencesandindex. ISBN978-90-04-23323-2(hardback:alk.paper)–ISBN978-90-04-24784-0(e-book:alk.paper) 1.Plato.2.Aristotle.3.Proclus,ca.410-485.4.Philosophy,Ancient.I.Dillon,JohnM.II.O'Byrne, Brendan,Dr.III.O'Rourke,Fran.IV.Cleary,JohnJ.PaideiaofhistoricalProtagoras.V.Title. B395.C542013 180–dc23 2012047763 Thispublicationhasbeentypesetinthemultilingual“Brill”typeface.Withover5,100 characterscoveringLatin,IPA,Greek,andCyrillic,thistypefaceisespeciallysuitablefor useinthehumanities.Formoreinformation,pleaseseewww.brill.com/brill-typeface. ISSN1871-188X ISBN978-90-04-23323-2(hardback) ISBN978-90-04-24784-0(e-book) Copyright2013byKoninklijkeBrillNV,Leiden,TheNetherlands. KoninklijkeBrillNVincorporatestheimprintsBrill,GlobalOriental,HoteiPublishing, IDCPublishersandMartinusNijhoffPublishers. Allrightsreserved.Nopartofthispublicationmaybereproduced,translated,storedin aretrievalsystem,ortransmittedinanyformorbyanymeans,electronic,mechanical, photocopying,recordingorotherwise,withoutpriorwrittenpermissionfromthepublisher. AuthorizationtophotocopyitemsforinternalorpersonaluseisgrantedbyKoninklijkeBrillNV providedthattheappropriatefeesarepaiddirectlytoTheCopyrightClearanceCenter, 222RosewoodDrive,Suite910,Danvers,MA01923,USA. Feesaresubjecttochange. Thisbookisprintedonacid-freepaper. τοῦτ’ἀεὶδραστέονδιὰβίουπαντὶκατὰδύναµιν (Plato,Laws644b) CONTENTS Acknowledgments..................................................... xi JohnCleary:APhilosophicalPortrait.................................. xiii BrendanO’Byrne JohnCleary:APersonalMemory ...................................... xxiii FranO’Rourke PAIDEIA BacktotheTextsThemselves.......................................... 3 ThePaideiaoftheHistoricalProtagoras............................... 19 CompetingModelsofPaideiainPlato’sGorgias....................... 37 EroticPaideiainPlato’sSymposium ................................... 53 CultivatingIntellectualVirtueinPlato’sPhilosopher-Rulers .......... 73 PaideiainPlato’sLaws ................................................. 99 SocraticInfluencesonAristotle’sEthicalInquiry...................... 111 AkrasiaandMoralEducationinAristotle ............................. 131 HISTORYOFMATHEMATICS TheMathematicalCosmologyofPlato’sTimaeus ..................... 153 AbstractingAristotle’sPhilosophyofMathematics.................... 181 Proclus’PhilosophyofMathematics................................... 201 HISTORYOFPHILOSOPHY A.Plato Plato’sTeleologicalAtomism .......................................... 223 TheRoleofTheologyinPlato’sLaws................................... 233 ‘PowersthatBe’:TheConceptofPotencyinPlatoandAristotle....... 251
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