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This book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains updated and expanded interpretations of the astronomical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts. Special attention is paid to issues of mathematical representation and over 100 photos of cuneiform tablets dating from 350-50 BCE are presented. In 2-3 years, the author intends to continue his study of Babylonian mathematical astronomy with a new publication which will contain new editions and reconstructions of approx. 250 tabular texts and a new philological, astronomical and mathematical analysis of these texts. Tabular texts are end products of Babylonian math astronomy, computed with algorithms that are formulated in the present volume, Procedure Texts.
In Hellenistic Astronomy: The Science in Its Contexts, renowned scholars address questions about what the ancient science of the heavens was and the numerous contexts in which it was pursued.
Published with the assistance of the Institute for Advanced Study, Princeton, New Jersey
Was there a meaningful stellar sign over Bethlehem? What did it look like to someone looking up at the night sky? Did wise men really come from the East seeking Israel’s Messiah sometime after the birth of Jesus? The biblical account of the wise men and the star that announced the coming of the Messiah of Israel has inspired and puzzled people for two millennia. Important aspects of Babylonian astronomy seem to be involved in understanding the star’s appearing. But in addition, The Lion Led the Way also explores the men and events from a profoundly Jewish perspective. The traditional Jewish names of stars and planets, Jewish symbols, as well as Jewish dates, all seem to be keys to unlocking the mystery of the famous star. The star of Bethlehem was not the brightest of the heavenly lights, nor was it the most spectacular starry manifestation of all time. However, it was part of the most meaningful set of celestial events in human history. The God of Israel is surprising. His ways are not our ways; his thoughts are not our thoughts. The star gives us a concrete example of God’s intervention in the universe. Book website: www.star-of-bethlehem.info
This book starts from a first general observation: there are very diverse ways to frame and convey scientific knowledge in texts. It then analyzes texts on mathematics, astronomy, medicine and life sciences, produced in various parts of the globe and in different time periods, and examines the reasons behind the segmentation of texts and the consequences of such textual divisions. How can historians and philosophers of science approach this diversity, and what is at stake in dealing with it? The book addresses these questions, adopting a specific approach to do so. In order to shed light on the diversity of organizational patterns and rhetorical strategies in scientific texts, and to question the rationale behind the choices made to present such texts in one particular way, it focuses on the issue of text segmentation, offering answers to questions such as: What was the meaning of segmenting texts into paragraphs, chapters, sections and clusters? Was segmentation used to delimit self-contained units, or to mark breaks in the physical appearance of a text in order to aid reading and memorizing, or to cope with the constraints of the material supports? How, in these different settings and in different texts, were pieces and parts made visible?
In the second millennium b.c., Babylonian scribes assembled a vast collection of astrological omens, believed to be signs from the gods concerning the kingdom's political, military, and agricultural fortunes. The importance of these omens was such that from the eighth or seventh until the first century, the scribes observed the heavens nightly and recorded the dates and locations of ominous phenomena of the moon and planets in relation to stars and constellations. The observations were arranged in monthly reports along with notable events and prices of agricultural commodities, the object being to find correlations between phenomena in the heavens and conditions on earth. These collections of omens and observations form the first empirical science of antiquity and were the basis of the first mathematical science, astronomy. For it was discovered that planetary phenomena, although irregular and sometimes concealed by bad weather, recur in limited periods within cycles in which they are repeated on nearly the same dates and in nearly the same locations. N. M. Swerdlow's book is a study of the collection and observation of ominous celestial phenomena and of how intervals of time, locations by zodiacal sign, and cycles in which the phenomena recur were used to reduce them to purely arithmetical computation, thereby surmounting the greatest obstacle to observation, bad weather. The work marks a striking advance in our understanding of both the origin of scientific astronomy and the astrological divination through which the kingdoms of ancient Mesopotamia were governed. Originally published in 1998. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
A Jewish and Babylonian Perspective About the Star of Bethlehem The biblical account of the wise men and the star that announced the coming of the Messiah of Israel has inspired and puzzled people for two millennia. Important aspects of Babylonian astronomy seem to be involved in understanding the star’s appearing. But in addition, this short bookl also explores the men and events from a profoundly Jewish perspective. The traditional Jewish names of stars and planets, Jewish symbols, as well as Jewish dates, all seem to be keys to unlocking the mystery of the famous star. Who were the biblical Magi? Various wise men were important in the history of the vast region to the east of Judaea. Zoroastrian, Babylonian, Greek and even Jewish wise men all played a role there in several successive empires. A possible Jewish connection with the story of the biblical wise men has been long neglected. Tens of thousands of Jews lived in Mesopotamia and Iran when Jesus was born. As they came to understand the star, the Magi apparently made a connection between aspects of Babylonian astronomy and the Jewish messianic hope. Book website: www.star-of-bethlehem.info
In the modern West, we take for granted that what we call the “natural world” confronts us all and always has—but Before Nature explores that almost unimaginable time when there was no such conception of “nature”—no word, reference, or sense for it. Before the concept of nature formed over the long history of European philosophy and science, our ancestors in ancient Assyria and Babylonia developed an inquiry into the world in a way that is kindred to our modern science. With Before Nature, Francesca Rochberg explores that Assyro-Babylonian knowledge tradition and shows how it relates to the entire history of science. From a modern, Western perspective, a world not conceived somehow within the framework of physical nature is difficult—if not impossible—to imagine. Yet, as Rochberg lays out, ancient investigations of regularity and irregularity, norms and anomalies clearly established an axis of knowledge between the knower and an intelligible, ordered world. Rochberg is the first scholar to make a case for how exactly we can understand cuneiform knowledge, observation, prediction, and explanation in relation to science—without recourse to later ideas of nature. Systematically examining the whole of Mesopotamian science with a distinctive historical and methodological approach, Before Nature will open up surprising new pathways for studying the history of science.
This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.
The sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian “metric algebra,” a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets. The book's use of “metric algebra diagrams” in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract “lettered diagrams” in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The author's comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics.