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14 - The measurement of time and distance in the heavens above Mesopotamia, with brief reference made to other ancient astral sciences

Published online by Cambridge University Press:  05 June 2012

Iain Morley
Affiliation:
The MacDonald Institute for Archaeological Research
Colin Renfrew
Affiliation:
The MacDonald Institute for Archaeological Research
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Summary

The evidence concerning mensuration and numeration to be gleaned from clay tablets unearthed in and around Mesopotamia has much to say of profound importance for the history of human cognition, if indeed human cognition has a history and we are not merely tracing the results of individual endeavour. We should, for the sake of the perceived relevance of our disciplines, be prepared to state how our research might permit us to say something about ‘becoming human’, and I will, in particular, in the following react to the supposition of the editors of this volume who, when organizing the symposium from which these chapters are derived, wrote that

the construction of measurement systems implies, in a certain sense, the construction of new means for recognizing and engaging the material world, in a broader sense for cognizing the world. It is in this process that both aspects of spirituality and the more specific conceptions of early religions must emerge.

I will concentrate on the evidence pertaining to the measurement of distances and times in the heavens mainly from Mesopotamian, but also briefly from Greek, Indian, Iranian, and Chinese sources, and the implications thereof for ‘becoming human’. This will be preceded by some comments on the earliest evidence for numeration and measurement in Mesopotamia, matters that concerned the assembled delegates in particular, but first a note of caution must be sounded.

Type
Chapter
Information
The Archaeology of Measurement
Comprehending Heaven, Earth and Time in Ancient Societies
, pp. 183 - 194
Publisher: Cambridge University Press
Print publication year: 2010

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References

Al-Rawi, F. N. H. & George, A. R. 1991 Enūma Anu Enlil XIV and Other Early Astronomical Tables. Archiv für Orientforschung 38/39: 52–73.Google Scholar
Brack-Bernsen, L. 2005 The “Days in Excess” from MUL.APIN – On the “First Intercalation” and “Water Clock” Schemes from MUL.APIN. Centaurus 47: 1–29.CrossRefGoogle Scholar
Brack-Bernsen, L. & Steele, J. M. 2005 Eclipse Prediction and the Length of the Saros in Babylonian Astronomy. Centaurus 47: 181–206.CrossRefGoogle Scholar
Bremner, R. W. 1993 The Shadow Length Table in MUL.APIN, H. D. Galter, ed., Die Rolle der Astronomie in den Kulturen Mesopotamiens: Beiträge zum 3. Grazer Morgenländischen Symposion (23.–27. September 1991). Graz: Rm-Druck and Verlagsgesellschaft. Grazer Morgenländische Studien 3, 367–382.
Britton, J. P. 2002 Treatments of Annual Phenomena in Cuneiform Sources, Steele, J. & Imhausen, A., eds., Under One Sky – Astronomy and Mathematics in the Ancient Near East. AOAT 297. Münster: Ugarit Verlag, 21–78.Google Scholar
Britton, J. P. 2004 An Early Observation Text for Mars: HSM 1899.2.112 (=HSM 1490), Burnett, C., Hogendijk, J. P., Plofker, K. & Yano, M., eds., Studies in the History of the Exact Sciences in Honour of David Pingree. Leiden, Boston: Brill, 33–55.Google Scholar
Brown, D. R. 2000a Mesopotamian Planetary Astronomy-Astrology. Groningen: Styx.Google Scholar
Brown, D. R. 2000b The Cuneiform Conception of Celestial Space and Time. Cambridge Archaeological Journal 10: 103–121.CrossRefGoogle Scholar
Brown, D. R. 2001 Astronomy-Astrology in Mesopotamia. Bibliotheca Orientalis 58: 41–59.CrossRefGoogle Scholar
Brown, D. R. 2003 The Scientific Revolution of 700 BC, Alaisdair A. MacDonald, Twomey, Michael W. and Reininck, Gerrit J., eds., Learned Antiquity: Scholarship and Society in the Near-East, the Greco-Roman World, and the Early Medieval West. Leuven, Paris, Dudley, Mass.: Peeters: 1–12.Google Scholar
Brown, D. R. 2004 Review article of Pongratz-Leisten, Beate. 1999. Herrschaftswissen in Mesopotamien. Formen der Kommunikation zwischen Gott und König im 2. Und 1. Jahrtausend v. Chr. [= State Archives of Assyria Studies 10.] Helsinki: State Archives of Assyria Project. Zeitschrift für Assyriologie94: 112–121.
Brown, D. R. 2006 Astral Divination in the Context of Mesopotamian Divination, Medicine, Religion, Magic, Society, and Scholarship. East Asian Science Technology and Medicine 25: 26–83.Google Scholar
Brown, D. R. 2007 Mesopotamian Astral Science, Leick, G., ed., The Babylonian World. New York and London: Routledge, 460–472.Google Scholar
Brown, D. R. 2008 Increasingly Redundant: The Growing Obsolescence of the Cuneiform Script in Babylonia from 539 BC, Baines, J., Bennet, J. & Houston, S., eds., The Disappearance of Writing Systems: Perspectives on Literacy and Communication. London and Oakville, Conn.: Equinox, 73–101.Google Scholar
Brown, D. R. 2010 Disenchanted with the Gods? The Advent of Accurate Prediction and Its Influence on Scholarly Attitudes towards the Supernatural in ,Ancient Mesopotamia and Ancient Greece, Baker, H. D., Robson, E., and Zólyomi, G., eds., Your Praise Is Sweet: A Memorial Volume for Jeremy Black by Students, Colleagues, and Friends. London: British Institute for the Study of Iraq, 11–28.Google Scholar
Brown, D. R. In press The Interactions of Ancient Astral Science. [= Vergleichende Studien zu Antike und Orient; X.] Bremen: Hempen.
Brown, D. R., Fermor, John & Walker, Christopher 1999/2000 The Water Clock in Mesopotamia. Archiv für Orientforschnung 46/7: 130–148.Google Scholar
Brown, D. R. & Zólyomi, G. 2001Daylight Converts to Nighttime”: An Astrological-Astronomical Reference in Sumerian Literary Context. Iraq 63: 149–154.Google Scholar
Cancik-Kirschbaum, E. & Chambon, G. 2006 Maßang­aben und Zahlvorstellungen in archaischen Texten, Altorientalische Forschungen 33: 189–214.CrossRefGoogle Scholar
Cancik-Kirschbaum, E. & Mahr, B. 2005 Anordnung und ästhetisches Profil: Die Herausbildung einer universellen Kulturtechnik in der Frühgeschichte der Schrift, Birgit Schneider, ed., Diagramme und bildtextile Ordnungen, in Horst Bredekamp & Gabriele Werner, general eds., Bildwelten des Wissens – Kunsthistorisches Jahrbuch für Bildkritik. Berlin: Akademie, 97–114.
Damerow, P. 1999 The Material Culture of Calculation: A Conceptual Framework for an Historical Epistemology of the Concept of Number, Preprint 117, Max-Planck Institute for the History of Science.
Damerow, P., Englund, R. K. & Nissen, H.-J. 1988 Die ersten Zahldarstellungen und die Entwicklung des Zahlbegriffs. Spectrum der Wissenschaft 3: 46–55.Google Scholar
Englund, R. K. 1988 Administrative Timekeeping in Ancient Mesopotamia. Journal of the Economic and Social History of the Orient 31: 121–132.CrossRefGoogle Scholar
Glassner, J.-J. 2000 Écrire à Sumer: L'invention du cunéiforme. Paris: Editions du Seuil.Google Scholar
Glassner, J.-J. 2003 The Invention of Cuneiform, Writing in Sumer. Baltimore: Johns Hopkins University Press.Google Scholar
Goody, J. 1977 The Domestication of the Savage Mind. Cambridge: Cambridge University Press.Google Scholar
Heeßel, N. 2005Stein, Pflanze und Holz” – ein neuer Text zur ‘medizinischen Astrologie’. Orientalia NS 74: 1–22.Google Scholar
Horowitz, W. 1998 Mesopotamian Cosmic Geography. Winona Lake, Ind.: Eisenbrauns.Google Scholar
Høyrup, J. 2002 Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin. New York: Springer.CrossRefGoogle Scholar
Huber, P. J. 2000 Babylonian Short-Time Measurements: Lunar Sixes. Centaurus 42, 223–234.CrossRefGoogle Scholar
Hunger, H. 2001 Astronomical Diaries and Related Texts from Babylonia. V: Lunar and Planetary Texts. Vienna: Verlag der Österreichischen Akademie der Wissenschaften.
Hunger, H. & Pingree, D. 1999 Astral Sciences in Mesopotamia. Leiden: Brill.CrossRefGoogle Scholar
Jones, A. 1999 Astronomical Papyri from Oxyrhynchus. Memoirs of the American Philosophical Society, vol. 233. 2 vols. in 1. Philadelphia: American Philosophical Society.Google Scholar
Jones, A. 2004 A Study of Babylonian Observations of Planets near Normal Stars. Archive for History of Exact Sciences 58, 475–536.CrossRefGoogle Scholar
Justus, C. F. 2004 On Language and the Rise of a Base for Counting. General Linguistics 22: 17–43.Google Scholar
Kirk, G. S., Raven, J. E. & Schofield, M. 1983 The Presocratic Philosophers, 2nd ed. Cambridge: Cambridge University Press.Google Scholar
Lloyd, G. E. R. 1996 Adversaries and Authorities. Cambridge: Cambridge University Press.Google Scholar
Lloyd, G. E. R. 2002 The Ambitions of Curiosity. Cambridge: Cambridge University Press.Google Scholar
Lloyd, G. E. R. & Sivin, N. 2002 The Way and the Word: Science and Medicine in Early China and Greece. New Haven, Conn.: Yale University Press.Google Scholar
Melville, D. J. 2005 The Area and the Side I Added: Some Old Babylonian Geometry. Revue d'histoire des mathématiques 11: 7–21.Google Scholar
Neugebauer, O. 1947 The Water Clock in Babylonian Astronomy. Isis 36: 37–53.
Neugebauer, O. 1975 A History of Ancient Mathematical Astronomy. Berlin: Springer Verlag.CrossRefGoogle Scholar
Neugebauer, O. & Sachs, A. 1945 Mathematic Cuneiform Texts. New Haven, Conn.: American Oriental Society 29.Google Scholar
Nissen, H.-J., Damerow, P. & Englund, R. K. 1990 Frühe Schrift und Techniken der Wirtschaftsverwaltung im alten Vorderen Orient. Bad Salzdetfurth: FranzbeckerGoogle Scholar
Nissen, H.-J., Damerow, P. & Englund, R. K. 1993 Archaic Bookkeeping: Early Writing and Techniques of Economic Administration in the Ancient Near East. Chicago: University of Chicago Press.Google Scholar
Pingree, D. 1963 Astronomy and Astrology in India and Iran. Isis 54: 229–246.CrossRefGoogle Scholar
Powell, M. 1987 –1990 Maße und Gewichte. Reallexikon der Assyriologie und Vorderasiatischen Archäologie 7: 457–517.Google Scholar
Robson, E. 2001 Neither Sherlock Holmes nor Babylon: A Reassessment of Plimpton 322. Historia Mathematika 28: 167–206.CrossRefGoogle Scholar
Rochberg, F. 2004 The Heavenly Writing – Divination, Horoscopy, and Astronomy in Mesopotamian Culture. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Sachs, A. & Hunger, H. 1988–1996 Astronomical Diaries and Related Texts from Babylonia, 3 vols. Vienna: Verlag der Österreichischen Akademie der Wissenschaften.Google Scholar
Schmandt-Besserat, D. 1992 Before Writing, I and II. Austin: University of Texas Press.Google Scholar
Selz, G. 2000 Schrifterfindung als Ausformung eines reflexiven Zeichensystems. Wiener Zeitschrift für die Kunde des Morgenlandes 90: 169–200.Google Scholar
Sidoli, N. 2004 Hipparchus and the Ancient Metrical Methods on the Sphere. Journal for the History of Astronomy 35: 71–84.CrossRefGoogle Scholar
Steele, J. 2002 A Simple Function for the Length of the Saros in Babylonian Astronomy, J. Steele & Imhausen, A., eds., Under One Sky – Astronomy and Mathematics in the Ancient Near East. AOAT 297. Münster: Ugarit Verlag, 405–420.Google Scholar
Steele, J. 2003 Planetary Latitude in Babylonian Mathematical Astronomy. Journal for the History of Astronomy 34, 269–89CrossRefGoogle Scholar
Stephenson, F. R. & Fatoohi, L. J. 1994 The Babylonian Unit of Time. Journal for the History of Astronomy 25, 99–110.CrossRefGoogle Scholar
Stephenson, F. R., Morrison, L. V. & Steele, J. 1997 The Accuracy of Eclipse Times Measured by the Babylonians. Journal for the History of Astronomy 28: 337–345.Google Scholar
Swerdlow, N. 1998 The Babylonian Theory of the Planets. Princeton, N.J.: Princeton University Press.CrossRefGoogle Scholar
Toomer, G. 1976 Hipparchus. Dictionary of Scientific Biography 15, Supplement: 207–224.Google Scholar
Veldhuis, N. 1997 Elementary Education at Nippur: The List of Trees and Wooden Objects. Ph.D. dissertation, Groningen: Rijksuniversiteit.Google Scholar

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