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Ancient Tablets Reveal Mathematical Achievements of Ancient Babylonian Culture




Old Babylonian “hand tablet” illustrating Pythagoras’ Theorem and an approximation of the square root of two. Clay, 19th-17th century BCE.
Yale Babylonian Collection YBC 7289. Photo: West Semitic Research.


NEW YORK, NY.- An illuminating exhibition of thirteen ancient Babylonian tablets, along with supplemental documentary material, opens
at New York University’s Institute for the Study of the Ancient World
(ISAW) on November 12, 2010. Before Pythagoras: The Culture of Old
Babylonian Mathematics reveals the highly sophisticated mathematical
practice and education that flourished in Babylonia—present-day
Iraq—more than 1,000 years before the time of the Greek sages Thales and
Pythagoras, with whom mathematics is traditionally said to have begun.

This exhibition is the first to explore the world of Old Babylonian mathematics through cuneiform tablets covering the full spectrum of mathematical activity, from arithmetical tables copied out by young
scribes-in-training to sophisticated work on topics that would now be
classified as number theory and algebra. The pioneering research of
Neugebauer and his contemporaries concentrated on the mathematical content
of the advanced texts; a selection of archival manuscripts and
correspondence offers a glimpse of Neugebauer's research methods and his
central role in this “heroic age.”

The cuneiform tablets illustrate three major themes: arithmetic exploiting a notation of numbers based entirely on two basic symbols; the scribal schools of Nippur; and advanced
training. Many of the latter problems were much more difficult than any that
they would have to deal with in professional scribal careers, and their
solutions depended on principles that, before the rediscovery of the
Babylonian tablets, were believed to have been discovered by the Greeks of
the sixth century BCE and after.



The tablets in the exhibition, at once beautiful and enlightening, date from the Old Babylonian Period (ca. 1900–1700 BCE). They have been
assembled from three important collections: the Columbia Rare Book and
Manuscript Library, Columbia University; the University of Pennsylvania
Museum of Archaeology and Anthropology; and the Yale Babylonian
Collection, Yale University.


Before Pythagoras has been curated by Alexander Jones, ISAW Professor of the History of the Exact Sciences in Antiquity, and ISAW
visiting scholar Christine Proust, historian of mathematics and ancient
sciences at the Institut Méditerranéen de Recherches Avancées, in
Marseille. The exhibition remains on view at ISAW through December 17,
2010.

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