The Nazbalum in Old Babylonian Mesopotamia: An Absolute Number or an Administrative Tool?
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The Nazbalum in Old Babylonian Mesopotamia : An Absolute Number or an Administrative Tool? / Middeke-Conlin, Robert William.
Cultures of Computation and Quantification in the Ancient World: Numbers, Measurements, and Operations in Documents from Mesopotamia, China and South Asia. ed. / Karine Chemla; Agathe Keller; Christine Proust. Springer, 2022. p. 357-397 (Why the Sciences of the Ancient World Matter, Vol. 6).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
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TY - CHAP
T1 - The Nazbalum in Old Babylonian Mesopotamia
T2 - An Absolute Number or an Administrative Tool?
AU - Middeke-Conlin, Robert William
N1 - Final version of Appendixes are fully open access.
PY - 2022
Y1 - 2022
N2 - The nazbalum, a number related to brick deliveries and earth transportation,appears in Old Babylonian period (2018-1595 BCE) coefficient lists, while its use is implicit in mathematical texts of this period that present brick deliveries. As we will see, earlier explanations of the nazbalum, in so far as brick deliveries are concerned, have defined it as based on a quantity of bricks transported over a month-long period or limited by an order of magnitude in another way. A study of this coefficient’s use in mathematical texts will show that the nazbalum is not based on a quantity of bricks but is instead a coefficient used to define daily work and, while it may appear on first inspection to be a fixed product of the distance multiplied by the number of bricks, it is always represented as a floating number in the coefficient lists and, as will be shown, this allows for flexibility in interpretation and use. Moreover, because the nazbalum is a floating number it is never expressed using any numeric system that expresses fixed quantities. Finally, the word nazbalum only appears explicitly in coefficient lists. Outside of this context, any reference is only implicit
AB - The nazbalum, a number related to brick deliveries and earth transportation,appears in Old Babylonian period (2018-1595 BCE) coefficient lists, while its use is implicit in mathematical texts of this period that present brick deliveries. As we will see, earlier explanations of the nazbalum, in so far as brick deliveries are concerned, have defined it as based on a quantity of bricks transported over a month-long period or limited by an order of magnitude in another way. A study of this coefficient’s use in mathematical texts will show that the nazbalum is not based on a quantity of bricks but is instead a coefficient used to define daily work and, while it may appear on first inspection to be a fixed product of the distance multiplied by the number of bricks, it is always represented as a floating number in the coefficient lists and, as will be shown, this allows for flexibility in interpretation and use. Moreover, because the nazbalum is a floating number it is never expressed using any numeric system that expresses fixed quantities. Finally, the word nazbalum only appears explicitly in coefficient lists. Outside of this context, any reference is only implicit
U2 - 10.1007/978-3-030-98361-1_6
DO - 10.1007/978-3-030-98361-1_6
M3 - Book chapter
SN - 9783030983604
T3 - Why the Sciences of the Ancient World Matter
SP - 357
EP - 397
BT - Cultures of Computation and Quantification in the Ancient World
A2 - Chemla, Karine
A2 - Keller, Agathe
A2 - Proust, Christine
PB - Springer
ER -
ID: 336640684