Nuptial Arithmetic: Marsilio Ficino's Commentary on the Fatal Number in Book VIII of Plato's Republic.

Nuptial Arithmetic Marsilio Ficino's Commentary on the Fatal Number in Book VIII of Plato's Republic Michael J. B. Allen UNIVERSITY OF CALIFORNIA PRESS Berkeley · Los Angeles · Oxford © 1994 The Regents of the University of California PREFACE PART ONESTUDY 1Ficino's Commentary on the Eighth Book of the Republic 2Figured Numbers and the Fatal Number 3Eugenics, the Habitus , and the Spirit 4Jupiter, the Stars, and the Golden Age Epilogue PART TWOTEXTS Headnote and Sigla Text 1: Argumentum Marsilio Ficino's Introduction to the Eighth Book Concerning Justice [1413] Argumentum Marsilii Ficini in Librum Octavum de Iustitia[1] Text 2:Ficino's Rendering Of Republic VIII. 546a1-D3Chalepon men . . . paides esontai Plato's Text in the Eighth Book of the Republic on the Mutation of the State through the Fatal Number [149r][1413] Textus Platonis in Octavo de Re Publica de Mutatione Rei Publicae per Numerum Fatalem[*] Text 3:De Numero Fatali The Commentary on Plato's Passage from the Eighth Book of the Republic Concerning the Republic's Mutation through the Fatal Number The Exposition of Marsilio Ficino Concerning the Nuptial Number in Book 8 of the Republic Chapter 1. On Circles, Conversions, Revolutions; and by What Opportunity the Lower May Be Led by the Higher. Commentarius in Locum Platonis Ex Octavo Libro de Re Publica de Mutatione Rei Publicae per Numerum Fatalem[*] [149r][1414] Expositio Marsilii Ficini[1] Circa Numerum Nuptialem in VIII de Re Publica. De Circulis, Conversionibus, Revolutionibus, et Qua Opportunitate a Superioribus Inferiora Ducantur. Cap. 1. Chapter 2. How There are Various Durations of Things. Quomodo Rerum Durationes Variae. Cap. II. Chapter 3. On the Prime Solid Numbers and on the Number Twelve. How Twelve Contains Consonances within Itself and When Thrice Multiplied Unfolds Them to the Full. De Primis Solidis Numeris et de Duodenario, Quomodo et Intra se Continet Consonantias et Ter Multiplicatus Explicat eas in Amplum. Cap. III. Chapter 4. On Increasing and Decreasing Numbers, and Those That are Like and Unlike. De Numeris Crescentibus et Decrescentibus, Similibus[1] Atque Dissimilibus. Cap. IIII. Chapter 5. On Numbers Associated with Sides and with Diagonals. [1417] De Numeris Lateralibus Atque Diametralibus. Cap. V. Chapter 6. Plane and Solid Numbers, Also Equilateral and Unequilateral, Even and Odd, Feminine and Masculine Numbers. Numeri Plani et Solidi, Item Aequilateri et Inaequilateri, Pares, Impares, Feminae, Masculi. Cap. VI. Chapter 7. The Trigon Numbers, Which are Composed from Even and Odd Numbers Successively. And How the Square May Be Made from Trigons. Numeri Trigoni Qui Ex Paribus Deinceps Et Imparibus Componuntur, et Quomodo ex Trigonis Fiat Quadratum. Cap. VII. Chapter 8. The One, the Odd and Even Numbers, and the Equilateral and Unequilateral. Unitas, Impares Paresque Numeri, Aequilateri et Inaequilateri. Cap. VIII. Chapter 9. Odd Numbers Comprehend the Even. Likewise the Equilateral Contain the Unequilateral. Impares Numeri Compraehendunt Pares. Item Aequilateri Inaequilateros Continent. Cap. VIIII. Chapter 10. How the Diagonal is or is not Commensurable to the Side. Chapter 11. On the Mutual Multiplication of Even Numbers and in Turn of Odd, of Equilateral, of Unequilateral, and of Solid Numbers. Quomodo Diameter Sit Lateri Commensurabilis Vel Non Commensurabilis. Cap. X. De Mutua Multiplicatione Parium Invicem et Imparium, Aequilaterorum, Inaequilaterorum, Solidorum. Cap. XI. Chapter 12. On the Proportions in the Powers of the Soul; and on Spirits, Celestial Influences, and the Causes of Immense Mutations. De Proportionibus in Viribus Animae et Spiritibus Influxibusque Caelestibus, et de Causis Ingentium Mutationum. Cap. XII. Chapter 13. On Good or Bad Offspring through the Observance of Numbers and of Figures. De Stirpe Bona Vel Mala per Observantiam Numerorum Atque[1] Figurarum. Cap. XIII.[2] Chapter 14. How the Numbers Here Assigned by Plato are in Accord with the Firmament, the Planets, and the Elements. Quomodo Numeri Hic a Platone Assignati Conveniant Firmamento et Planetis Atque Elementis. Cap. XIIII.[1] Chapter 15. The Observance of Certain Particular Numbers in the Great Number. Observantia Certorum Numerorum in Numero Magno. Cap. XV.[1] Chapter 16. On the Habit, Age, and Time Span of the Body for Begetting; and on Their Accommodation. De Habitu Corporis, Aetate, Tempore ad Generandum Accommodatis. Cap. XVI.[1] Chapter 17. On the Perfect Number, on Divine Generation, and on the Observation of Celestials. De numero Perfecto et Generatione Divina et Observatione Caelestium. Cap. XVII.[1] APPENDIX 1FICINO'S GREEK EXEMPLAR APPENDIX 2FICINO AND THE EARLIER HUMANISTVERSIONS OF REPUBLIC 546A FF. APPENDIX 3"IN NUMBER, WEIGHT, AND MEASURE" APPENDIX 4CONVERSION TABLE Notes Text 1: Argumentum Text 2: Ficino's Rendering Of Republic VIII. 546a1-D3Chalepon men . . . paides esontai Text 3:De Numero Fatali SELECT BIBLIOGRAPHY Primary Texts Secondary Texts INDEX AUCTORUM ET NOMINUM A B C F I P S T V INDEX TO PART ONE A B C D E F G H I J K L M N O P Q R S T U V W X Y Z