Sein aus zwei Büchern bestehendes Hauptwerk ist hier erstmals in einer Edition zugänglich. Auf 36 Handschriften basierend enthält sie einen vollständigen kritischen Apparat. Die Abhängigkeiten zwischen den Handschriften werden mit aus der Biologie entlehnten kladistischen Methoden untersucht. Die Edition wird durch weitere Texte, die mit Gerlands Computus abgeschrieben wurden, sowie mit Übersetzung und Erläuterungen ergänzt. Der Anhang enthält ferner eine auf 19 Handschriften basierende Edition von Gerlands Abakus-Traktat und eine CD mit vollständigen Abschriften aus den einzelnen Handschriften sowie Wortkonkordanzen.

on calculating Apocalypse, awakening the Avatar, and related.

Recent research has shown that the use of astronomy as a chronological problem-solving tool has deep roots in the scholarly practices of the Latin Middle Ages, as is manifest from the writings of Marianus Scotus, Gerland, and other “critical computists” of the eleventh and twelfth centuries. This essay enlarges the existing picture by introducing a hitherto unknown epistolary treatise of the mid-twelfth century. Written in Lotharingia in 1144, this poorly preserved work documents an attempt to reconstruct the timeline of world (...) history via techniques that had emerged within the Latin computus tradition prior to the advent of Greco-Arabic astronomy. Drawing on the so-called computus naturalis, the author performed lunar computations on the basis of observed eclipses and used them to propose new dates for the Creation and the Last Supper. He also relied on a revised estimate of the time and date of the vernal equinox, placing it on 16 March, and gave a detailed account of how this result can be derived from solar observations with a meridian line. By virtue of these methodological features, the Chronology of 1144 represents an important transitional stage between the “critical computists” and the use of eclipse-based dating methods by later scholars such as Giles of Lessines (fl. 1260). (shrink)

(Sudhoffs Archiv; Beiheft 61) Stuttgart: Franz Steiner 2013. 493 S., zahlr. Abb. u. Tab., kart., € 74,00. ISBN 978‐3‐515‐10468‐5.

The medieval computus was intended primarily for literate and numerate ecclesiastical users; reading the Latin computus required a good knowledge of technical Latin, while understanding its calculations presupposed some formal education in arithmetic and astronomy. By the mid-thirteenth century, users would have included a small group of literate and numerate laymen; by the mid-fifteenth century, users would have included the less educated and even semiliterate, as a consequence of a more extensive range of computus material made available (...) for the purpose in the vernacular. (shrink)

Dionísio Exíguo, monge de Cítia, compôs em meados do século VI um conjunto de textos sobre o cálculo da Páscoa, depois reunidos numa obra intitulada De Paschate, na qual apresentou o calendário egípcio e a importância da “lua eclesiástica”. O De Paschate é constituído de uma tradução de textos, de uma tabela pascal e de um manual de argumentos sobre como saber a data do domingo de Páscoa. A pesquisa mostra a relação entre a epistemologia neoplatônica e as práticas litúrgicas (...) de Alexandria, a partir do termo “lua eclesiástica”, em meio às complexas relações entre as Igrejas Orientais, Roma e o Império, conforme a proposta metodológica da História da Ciência. A pesquisa encontra o significado desta lua perfeita, ou seja, livre das irregularidades do curso lunar ordinário, e apresenta a razão da escolha do calendário egípcio para a contagem pascal de todo o Império. Junto à pesquisa, foi elaborado uma tradução original do texto dionisiano para a língua portuguesa, com notas explicativas, de modo que favoreça o debate sobre a ciência medieval, sua epistemologia na História da Ciência. (shrink)

Summary Since its definition at the council of Nicea the date of Easter had been calculated on a cyclical basis. The Easter formula publicized by C. F. Gauss in 1800 has neither achieved recognition with the chronologists nor with the officials of the papal curia, responsible for the fixing of Easter. In the paper being presented here the elements of medieval computus are transformed on an arithmetical basis and from this a formula for the fixing of Easter is developed. (...) With the help of these two components it is possible to calculate the Julian as well as the Gregorian dates of Easter and, in addition the calendar of any given year. The formula for the date of Easter being submitted here can be traced back exclusively to the elements of the medieval computus and can be ratified by the chronologists. Thus it renders possible the fixing of every Easter date with the help of a pocket calculator or the use of two small tables. This demonstrates that the history of methodology contains tools in order to develop a ‘new’ solution of a systematical problem. (shrink)

Biblical Exegesis and Mystical Theology in the Venerable Bede brings together seventeen essays by Arthur Holder exploring the theology and spirituality found in Bede's biblical commentaries and homilies. The volume shows that Bede was both a masterful student of received tradition and a creative thinker concerned to address the needs and concerns of his audience of Christian pastors and teachers in the eighth-century Northumbrian church. Although Bede is best known as the author of The Ecclesiastical History of the English People, (...) the last half-century of scholarship has demonstrated the sophistication and vast influence of his work in the fields of grammar, biblical interpretation, hagiography, poetry, computus, natural science, and theology. The chapters in this volume show how Bede's exegesis was integrally connected with his work in all those genres and with the monumental artistic productions of his monastery such as the illuminated bible manuscript known as the Codex Amiatinus. The five parts of the book deal with Bede as teacher and biblical scholar, his interpretations of the tabernacle and the temple, his commentary on the Song of Songs, his attitudes toward philosophy and heresy, and his mystical theology. This book will be of interest to students of Christian theology, mysticism, the development of biblical interpretation, and the history of early medieval England. (shrink)

In connection with the Carolingian renewal of education Charlemagne also cared for a homogeneous reckoning of time. He organized the Carolingian reform of the calender with the help of Alkuin of York, an Anglo‐Saxon scholar. Having heard of Alkuin's learning and teaching abilities, the Frankish King invited him to lead his Palace school at Aachen. Moving to Francia 782, Alkuin became the key counselour of Charlemagne for science, education and church matters.Among other subjects Alkuin taught the King especially calendrical reckoning (...) (computus) and astronomy, in which he took a special personal interest. Charlemagne discussed these subjects often with Alkuin, sometimes even in letters, still preserved today. For this correspondence on astronomy and calendrical reckoning it was assumed that Alkuin was the author of four short anonymous writings on computus. Moreover, Charlemagne comissioned Alkuin to write a standard work on computus, which is lost today. But three Carolingian manuals on computus survived.Which of the four anonymous writings really stem from Alkuin himself? What influence he had upon the manuals? These two questions are investigated here on the basis of the most important matter of computus: the calculation of the age of the moon in the 19‐year lunar cycle, necessary for dating the movable feast of Easter (on the first Sunday after the first full moon in spring). These facts were discussed in detail, even vehemently, in the correspondence between Alkuin and Charlemagne. (shrink)

This paper gives a critical edition of the Treatise on the Easter Computus of Barlaam of Seminara, with a French translation and commentary. Written around 1333 this treatise demonstrates systematically and scientifically why the Easter Canon used at that time by the Church is superseded. Nevertheless Barlaam advises that the usual Canon should not be changed. In spite of its objectivity, Barlaam's treatise must be seen in the context of his rivalry with Nicephorus Gregoras, who had already proposed to (...) modify the Canon. The paper analyses Gregoras' text and gives a comparison with Barlaam's treatise. At the scientific level, both scholars rely on Ptolemy for the date of the spring equinox and the length of the Solar year, but Barlaam introduces a supplementary argument, which is the inexactness of the 19 year cycle. (shrink)

Between 1069, the year of his arrival at St. Martin in Mainz, where he spent the rest of his life in voluntary enclosure in a cell, and his death in 1082, the Irish monk Marianus Scottus dedicated countless hours to assembling the most sophisticated and comprehensive work on historical chronology that had ever been produced by a Latin writer up to that time. The fruits of his labors became a massive world chronicle, completed in 1076, whose most famous innovation consisted (...) in a far-reaching correction to the Christian, or “common,” era, which had been introduced by Dionysius Exiguus in the sixth century. Having compared the data of the Easter computus with the chronological parameters traditionally associated with the passion of Christ—the fifteenth day of the moon on Friday, 25 March—Marianus found that the only year in which the numbers could be made to fit was AD 12 rather than the traditionally accepted AD 34. As a result, he decided to predate the life of Jesus by twenty-two years, assigning his birth to the year corresponding to 22 BC. This gave rise to a new “corrected” era , which he used alongside its Dionysiac equivalent. (shrink)