From the early ninth century until about eight centuries later, the Middle East witnessed a series of both simple and systematic astronomical observations for the purpose of testing contemporary astronomical tables and deriving the fundamental solar, lunar, and planetary parameters. Of them, the extensive observations of lunar eclipses available before 1000 AD for testing the ephemeredes computed from the astronomical tables are in a relatively sharp contrast to the twelve lunar observations that are pertained to the four extant accounts of (...) the measurements of the basic parameters of Ptolemaic lunar model. The last of them are Taqī al-Dīn Muḥammad b. Ma‘rūf’s trio of lunar eclipses observed from Istanbul, Cairo, and Thessalonica in 1576–1577 and documented in chapter 2 of book 5 of his famous work, Sidrat muntaha al-afkar fī malakūt al-falak al-dawwār. In this article, we provide a detailed analysis of the accuracy of his solar and lunar observations. (shrink)

Otto Neugebauer’s early academic career was marked by a series of transitions. His interests shifted from physics to mathematics, and finally to the history of ancient mathematics and exact sciences. Yet even from his early years in Graz, Neugebauer was strongly attracted to the mathematical culture of Göttingen. When he arrived there in 1922, he quickly established a strong personal friendship with Richard Courant, the newly appointed Director of the Mathematics Institute. Neugebauer and Courant worked together closely up until 1933, (...) when the Nazi government decimated the Göttingen scientific community. In this essay, Neugebauer’s historical work and his vision for a new approach to the study of the exact sciences are viewed through the prism of these events. By so doing, one can easily appreciate how Neugebauer’s scholarship reflects the ideals he and Courant shared as leading representatives of the Göttingen mathematical tradition. (shrink)

Babylonian methods for predicting planetary phenomena using the so-called goal-year periods are well known. Texts known as Goal-Year Texts contain collections of the observational data needed to make predictions for a given year. The predictions were then recorded in Normal Star Almanacs and Almanacs. Large numbers of Goal-Year Texts, Normal Star Almanacs and Almanacs are attested from the early third century BC onward. A small number of texts dating from before the third century present procedures for using the goal-year periods (...) to predict planetary phenomena. In addition, two texts, one dating to the late sixth century BC and the other to the late fifth century BC, contain planetary data which was probably predicted using these methods. In this article, I discuss a further example of a tablet dating from before the third century BC which contains planetary data predicted using the goal-year periods. I show that the planetary phenomena contained in this tablet can be dated to the twelfth year of the reign of Artaxerxes III and that they were predicted using goal-year periods without the application of the kind of corrections which were used in the third century BC texts in order to produce more accurate predictions. (shrink)

Significant progress has been made in understanding Mesopotamian astronomy and astrology since the decipherment of cuneiform tablets containing astronomical and astrological texts in the late nineteenth century. However, until now few attempts have been made to write a detailed history of the Mesopotamian astral sciences as opposed to detailed studies of particular texts and types of astronomy or astrology. My aim in this paper is to present some ideas of how such a history should be written and in particular to (...) consider if and how visual evidence can be brought alongside textual evidence in the writing of this history. (shrink)

The normally staid topics of judicial ethics and the standards for judicial recusal have become the focus of political debates, editorials and letter writing campaigns. Most of the recent focus falls on conservative justices of the US Supreme Court and in particular on their anticipated participation in what is expected to be an important ruling on the constitutionality of the heath care reforms championed by President Obama and the Democratic Party. But the issue is not simply about partisan politics. It's (...) also about the structure of the US federal judiciary and the need to think about the impact of two-career couples on the judicial recusal rules. (shrink)