Why the Sciences of the Ancient World Matter – serie

This volume explores how scholars wrote, preserved, circulated, and read knowledge in ancient Mesopotamia. It offers an exercise in micro-history that provides a case study for attempting to understand the relationship between scholars and scholarship during this time of great innovation.   The papers in this collection focus on tablets written in the city of Uruk in southern Babylonia. These archives come from two different scholarly contexts. One is a private residence inhabited during successive phases by two families of priests who were experts in ritual and medicine. The other is the most important temple in Uruk during the late Achemenid and Hellenistic periods. The contributors undertake detailed studies of this material to explore the scholarly practices of individuals, the connection between different scholarly genres, and the exchange of knowledge between scholars in the city and scholars in other parts of Babylonia and the Greek world. In addition, this collection examines the archives in which the texts were found and the scribes who owned or wrote them. It also considers the interconnections between different genres of knowledge and the range of activities of individual scribes. In doing so, it answers questions of interest not only for the study of Babylonian scholarship but also for the study of ancient Mesopotamian textual culture more generally, and for the study of traditions of written knowledge in the ancient world.

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?

This book examines the role of medieval authors in writing the history of ancient science. It features essays that explore the content, structure, and ideas behind technical writings on medieval Chinese state history. In particular, it looks at the Ten Treatises of the current History of Sui, which provide insights into the writing on the history of such fields as astronomy, astrology, omenology, economics, law, geography, metrology, and library science. Three treatises are known to have been written by Li Chunfeng, one of the most important mathematicians, astronomers, and astrologers in Chinese history.The book not only opens a new window on the figure of Li Chunfeng by exploring what his writings as a historian of science tell us about him as a scientist and vice versa, it also discusses how and on what basis the individual treatises were written.The essays address such themes as (1) the recycling of sources and the question of reliability and objectivity in premodern history-writing; (2) the tug of war between conservatism and innovation; (3) the imposition of the author’s voice, worldview, and personal and professional history in writing a history of a field of technical expertise in a state history; (4) the degree to which modern historians are compelled to speak to their own milieu and ideological beliefs.

This book examines the role of medieval authors in writing the history of ancient science. It features essays that explore the content, structure, and ideas behind technical writings on medieval Chinese state history. In particular, it looks at the Ten Treatises of the current History of Sui, which provide insights into the writing on the history of such fields as astronomy, astrology, omenology, economics, law, geography, metrology, and library science. Three treatises are known to have been written by Li Chunfeng, one of the most important mathematicians, astronomers, and astrologers in Chinese history.The book not only opens a new window on the figure of Li Chunfeng by exploring what his writings as a historian of science tell us about him as a scientist and vice versa, it also discusses how and on what basis the individual treatises were written.The essays address such themes as (1) the recycling of sources and the question of reliability and objectivity in premodern history-writing; (2) the tug of war between conservatism and innovation; (3) the imposition of the author’s voice, worldview, and personal and professional history in writing a history of a field of technical expertise in a state history; (4) the degree to which modern historians are compelled to speak to their own milieu and ideological beliefs.

This book presents a novel methodology to study economic texts. The author investigates discrepancies in these writings by focusing on errors, mistakes, and rounding numbers. In particular, he looks at the acquisition, use, and development of practical mathematics in an ancient society: The Old Babylonian kingdom of Larsa (beginning of the second millennium BCE Southern Iraq). In so doing, coverage bridges a gap between the sciences and humanities. Through this work, the reader will gain insight into discrepancies encountered in economic texts in general and rounding numbers in particular. They will learn a new framework to explain error as a form of economic practice. Researchers and students will also become aware of the numerical and metrological basis for calculation in these writings and how the scribes themselves conceptualized value. This work fills a void in Assyriological studies. It provides a methodology to explore, understand, and exploit statistical data.The anlaysis also fills a void in the history of mathematics by presenting historians of mathematics a method to study practical texts. In addition, the author shows the importance mathematics has as a tool for ancient practitioners to cope with complex economic processes. This serves as a useful case study for modern policy makers into the importance of education in any economy.

This book presents a novel methodology to study economic texts. The author investigates discrepancies in these writings by focusing on errors, mistakes, and rounding numbers. In particular, he looks at the acquisition, use, and development of practical mathematics in an ancient society: The Old Babylonian kingdom of Larsa (beginning of the second millennium BCE Southern Iraq). In so doing, coverage bridges a gap between the sciences and humanities. Through this work, the reader will gain insight into discrepancies encountered in economic texts in general and rounding numbers in particular. They will learn a new framework to explain error as a form of economic practice. Researchers and students will also become aware of the numerical and metrological basis for calculation in these writings and how the scribes themselves conceptualized value. This work fills a void in Assyriological studies. It provides a methodology to explore, understand, and exploit statistical data.The anlaysis also fills a void in the history of mathematics by presenting historians of mathematics a method to study practical texts. In addition, the author shows the importance mathematics has as a tool for ancient practitioners to cope with complex economic processes. This serves as a useful case study for modern policy makers into the importance of education in any economy.

This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.

This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.

This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.

This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.