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Human Sciences
Offers historical and philosophical arguments for treating the humanities as sciences.
In Measure, Number, and Weight
Jens Hoyrup, recognized as the leading authority in social studies of pre-modern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context. Hoyrup moves from comparing features of Sumero-Babylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge.
History of the Mathematical Sciences
Papers presented at the International Conference on History of Mathematical Sciences, held at New Delhi during 20-23 December 2001.
Algorithmic Culture Before the Internet
Today, algorithms exercise outsize influence on cultural decision-making, shaping and even reshaping the concept of culture. How were automated, computational processes empowered to perform this work? What forces prompted the emergence of algorithmic culture? Algorithmic Culture Before the Internet is a history of how culture and computation came to be entangled. From Cambridge, England, to Cambridge, Massachusetts, by way of medieval Baghdad, this book pinpoints the critical junctures at which algorithmic culture began to coalesce in language long before it materialized in the technological wizardry of Silicon Valley. Revising and extending the methodology of “keywords,” Ted Striphas examines changing concepts and definitions of culture, including the development of the field of cultural studies, and stresses the importance of language in the history of technology. Offering historical and interdisciplinary perspective on the relationship of culture and computation, this book provides urgently needed context for the algorithmic injustices that beset the world today.
Sumerian Agriculture
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The Parthenon and Liberal Education
Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.
Researching the History of Mathematics Education
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.
On the Shoulders of Merchants
This book shows how the universal quantification of science resulted from the routinization of commercial practices that were familiar in scientists daily lives. Following the work of Franz Borkenau and Jacob Klein in the 1930s, the book describes the rise of the mechanistic world-view as a reification of relations of exchange in the sixteenth and seventeenth centuries. Critical of more orthodox, positivist Marxist accounts of the rise of science, it argues that commercial reckoners, in keeping with the social relations in which their activity took place, delivered a new mathematical object, general magnitude, to the new mechanics. The book is an historical extension of the sociology of scientific knowledge and develops and refines themes found in the work of Alfred Sohn-Rethel and Gideon Freudenthal.
Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators
This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.
Sociology, Science, and the End of Philosophy
This book offers a unique analysis of how ideas about science and technology in the public and scientific imaginations (in particular about maths, logic, the gene, the brain, god, and robots) perpetuate the false reality that values and politics are separate from scientific knowledge and its applications. These ideas are reinforced by cultural myths about free will and individualism. Restivo makes a compelling case for a synchronistic approach in the study of these notoriously 'hard' cases, arguing that their significance reaches far beyond the realms of science and technology, and that their sociological and political ramifications are of paramount importance in our global society. This innovative work deals with perennial problems in the social sciences, philosophy, and the history of science and religion, and will be of special interest to professionals in these fields, as well as scholars of science and technology studies.
