Juan Acevedo Alphanumeric Cosmology From Greek into Arabic Juan Acevedo Alphanumeric Cosmology From Greek into Arabic The Idea of Stoicheia Through the Medieval Mediterranean Mohr Siebeck Juan Acevedo, born 1971; studied Classics at Universidad de Los Andes, Venezuela; 2001 BA; teaching Spanish, academic publishing (Islamic Texts Society; The Matheson Trust) in the UK, specialised in Arabic-English bilingual typesetting and Comparative Religion; 2018 PhD from the Warburg Institute, University of London; presently post-doctoral research in Lisbon for the ERC Rutter Project in History of Science. ISBN 978-3-16-159245-4 / eISBN 978-3-16-159246-1 DOI 10.1628 / 978-3-16-159246-1 The Deutsche Nationalbibliothek lists this publication in the Deutsche Nationalbibliographie; detailed bibliographic data are available at http://dnb.dnb.de. © 2020 Mohr Siebeck Tübingen, Germany. www.mohrsiebeck.com This book may not be reproduced, in whole or in part, in any form (beyond that permitted by copyright law) without the publisher’s written permission. This applies particularly to repro- ductions, translations and storage and processing in electronic systems. The book was typeset by the author, printed on non-aging paper by Laupp & Göbel in Goma- ringen, and bound by Buchbinderei Nädele in Nehren. Printed in Germany. Acknowledgements A work of this extension and scope renews the awareness that gratitude tends by nature towards infinity – so many unexpected favourable circumstances,andsourcesofhelpandinformationandgoodwill...Here isanattemptatdoingjusticetosomeofthem. This book developed from a doctoral thesis presented at The Warburg Institute, London, and I owe much gratitude to the collegial spirit of the place itself. The Warburg Library was described almost a century ago as ‘the one open gate to the cosmopolis of knowledge,’ and this holds true not only as regards the layout of the city of knowledge, its avenues and parks which we visit in our minds, but also very palpably in the citizens themselves–andwhatjoyitwastobenefitfromtheiradviceandconvivial conversation. Thethesisitselfwouldhavebeenunimaginableandevenimpracticable inmanywayswithouttheinspiration,encouragementandexpertguidance IwasprivilegedtohavefromCharlesBurnett,whonotonlyimprovedon everydetailofmyworkwiththelightesttouchandselfeffacinggenerosity, butalsosharedcongeniallyintheexhilarationoftheresearch. AmongmyWarburgcolleagues,IwouldliketothankinparticularGui doGiglioni,ChristopherJohnson,JillKraye,BertholdKress,Alessandro Scafi and Claudia Wedepohl. Warm thanks to Peter Pormann, who read anearlydraftofthethesisandmadevaluablesuggestions.Ifeelindebted to Liana Saif, Bink Hallum and Sébastien Moreau for their inspiring and generousfriendship.OtherWarburgfriendswhohelpedsignificantlywith my research are Eleonora Andriani, Yang Gao, Michael Noble, Adrian Pirtea,GregorSchwarbandTassosTyflopoulos. My colleagues and friends at The Matheson Trust have made possible thecompletionofthisworkinmanyways.ToTamarDrukkerIowemuch gratitude for her help and patience with my Hebrew. Closer to home, I want to thank Rida and Nureen, Adnan and Summer, and in Mérida, EnriqueObedienteforhisfriendshipandexample.EdgarGuzmán,myfirst companionreadingtheSeferYetsirah,hasbeenverypresentallalong,as VI Acknowledgements have been my mathematicians Olga, Ramón, Cristóbal and Juan Manuel. My parents inspired in me the love of letters and music, and somehow sharedwithmeilgrandisio,sowhateverisgoodhereisasmuchtheirsas mine. Andathome,myJudith,likeourchildrenMaríaGraciaandElías,has helped me very concretely on this very abstract work, and in many more waysthanIcouldthankherfororthateitherofuswilleverunderstand. Somefriendsandcolleagueshavecontributedwiththeircommentsand suggestionsafterthecompletionofthethesis,andhavethusimprovedthis book greatly in many little ways. Warm thanks to Godefroid de Callataÿ, TobyMayer,ConstantinosMacris,andLeonConrad. I dedicate this work to the memory of José Manuel Briceño Guerrero (ל״צז), who taught me the Greek hexameter on a radiant Venezuelan afternoontwentynineyearsago. JuanAcevedo ERCRutterProject CentroInteruniversitáriodeHistóriadasCiênciasedaTecnologia FacultyofSciences UniversityofLisbon Contents Acknowledgements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V NotestotheReader. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII A.Transliterations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIII I.HebrewTransliteration . . . . . . . . . . . . . . . . . . . . . . . . . . XIII II.ArabicTransliteration . . . . . . . . . . . . . . . . . . . . . . . . . . XIV Abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XV Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVII A.TheConcept . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVIII B.Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIX C.SurveyofScholarship . . . . . . . . . . . . . . . . . . . . . . . . . . .XX D.MethodologyMatters . . . . . . . . . . . . . . . . . . . . . . . . . XXIII I DefiningtheConcept. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Chapter1: NotesonEarlyAlphabeticCosmology. . . . . . . . 3 A.StartingfromAristotle’s‘Lexicon’ . . . . . . . . . . . . . . . . . . . 3 I.FirstGlimmerings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.Etymology. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.TheDefinition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 3.AtomsandLetters. . . . . . . . . . . . . . . . . . . . . . . . . . . .12 II.PlatonicCorpus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .12 III.TheConstellations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .13 IV.LatinCorrespondences . . . . . . . . . . . . . . . . . . . . . . . . . . .14 VIII Contents B.GreekGrammarians . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15 I.TheOpeningAnacoluthon. . . . . . . . . . . . . . . . . . . . . . . . . .17 II.SimplicityandPedagogy . . . . . . . . . . . . . . . . . . . . . . . . . .18 III.TheSemiticOrigin. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18 1.NaturegivenorCreated. . . . . . . . . . . . . . . . . . . . . . . .20 IV.MoreEtymologies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20 1.NumberandOrder. . . . . . . . . . . . . . . . . . . . . . . . . . . .21 2.WallsandRamparts. . . . . . . . . . . . . . . . . . . . . . . . . . .22 3.Whataboutγράμματα?. . . . . . . . . . . . . . . . . . . . . . . . .23 V.Attributesoftheστοιχεῖον . . . . . . . . . . . . . . . . . . . . . . . . .24 VI.TheFourCosmicElements . . . . . . . . . . . . . . . . . . . . . . . .25 1.WhyTwentyFour? MoreCosmicCorrespondences . . . . .26 2.TheMoonandtheStars . . . . . . . . . . . . . . . . . . . . . . . .27 3.ThePlanets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .28 4.AstrologicalCorrespondences. . . . . . . . . . . . . . . . . . . .29 5.MicrocosmicCorrespondences . . . . . . . . . . . . . . . . . . .30 VII.GraphicalLayout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .31 VIII.SanchuniathonandtheSnakes . . . . . . . . . . . . . . . . . . . . .32 C.LatinGrammarians. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33 D.Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .36 Chapter2: OntheTracksofArithmeticalCosmology . . . . .38 A.NumberandLetter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38 I.Isopsephism,OnomatomancyandGematria . . . . . . . . . . . . . .42 1.ChoeroboscusontheNamesofNumbers. . . . . . . . . . . . .46 B.ReckoningandScienceofNumbers . . . . . . . . . . . . . . . . . .48 C.PythagorasandPythagoreanism . . . . . . . . . . . . . . . . . . . .51 1.Lore&ScienceandFurtherDevelopments. . . . . . . . . . . .53 2.ImitationorParticipation . . . . . . . . . . . . . . . . . . . . . . .56 3.OnCreationandOrder. . . . . . . . . . . . . . . . . . . . . . . . .57 4.ThePythagoreanLogos . . . . . . . . . . . . . . . . . . . . . . . .58 5.TheFundamentalDecad. . . . . . . . . . . . . . . . . . . . . . . .58 I.Philolaos. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .60 1.FragmentsofPhilolaus. . . . . . . . . . . . . . . . . . . . . . . . .61 II.‘Pythagorean’Milestones. . . . . . . . . . . . . . . . . . . . . . . . . .68 1.NicomachusandhisIntroduction. . . . . . . . . . . . . . . . . .72 Contents IX III.Nicomachus’IntroductionTables . . . . . . . . . . . . . . . . . . . .74 D.Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .91 II AlphanumericCosmologyintheAbrahamicScriptures .97 Chapter3: JewishSourcesandExegesis. . . . . . . . . . . . . . .101 A.TanakhandTranslations . . . . . . . . . . . . . . . . . . . . . . . . .101 I.Genesis–CreationbySpeech. . . . . . . . . . . . . . . . . . . . . . .101 1.Psalm33:6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .104 II.Exodus–Bezalel. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .105 III.CountingtheGlory. . . . . . . . . . . . . . . . . . . . . . . . . . . . .107 IV.ThePotterofLight. . . . . . . . . . . . . . . . . . . . . . . . . . . . .108 V.Acrostics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .109 VI.Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .112 B.Philo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .113 I.OntheMakingoftheWorld. . . . . . . . . . . . . . . . . . . . . . . .114 1.ArchetypeandNoeticCreation . . . . . . . . . . . . . . . . . .117 2.TheModelisΛόγος. . . . . . . . . . . . . . . . . . . . . . . . . .118 3.Numbers: theTetradandtheDecad . . . . . . . . . . . . . . .119 II.ChapterSummary: PhiloinPerspective. . . . . . . . . . . . . . . .120 Chapter4: ChristianSourcesandExegesis. . . . . . . . . . . . .122 A.LettersNumeralsoftheChristicWordNumber. . . . . . . . .122 I.Mysterialitterarum: TextualHistory . . . . . . . . . . . . . . . . . .124 1.Mysterialitterarum–thetext . . . . . . . . . . . . . . . . . . .125 2.22or24Letters. . . . . . . . . . . . . . . . . . . . . . . . . . . . .127 II.ApocryphalGospels. . . . . . . . . . . . . . . . . . . . . . . . . . . . .128 III.ASpiritualABCinMonasticLiterature . . . . . . . . . . . . . . .129 IV.Measure,Number,Weight,andAugustine. . . . . . . . . . . . . .130 Chapter5: Hermetica,MagicandGnosticSources. . . . . . .135 I.WhoisHermes?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .137 II.ThothandtheLettersinPhilebus. . . . . . . . . . . . . . . . . . . .139 III.TheCreationElementsintheHermetica. . . . . . . . . . . . . . .141