Naburimannu
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{{Short description, Ancient astronomer and mathematician Nabu- ri-man-nu (also spelled ''Nabu-rimanni''; Greek sources called him Ναβουριανός, ''Nabourianos'', Latin ''Naburianus'') (
fl. ''Floruit'' ( ; usually abbreviated fl. or occasionally flor.; from Latin for 'flourished') denotes a date or period during which a person was known to have been alive or active. In English, the unabbreviated word may also be used as a noun indic ...
c. 6th – 3rd century BC) was a Chaldean astronomer and
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. Classical and ancient
cuneiform Cuneiform is a Logogram, logo-Syllabary, syllabic writing system that was used to write several languages of the Ancient Near East. The script was in active use from the early Bronze Age until the beginning of the Common Era. Cuneiform script ...
sources mention an astronomer with this name: * The Greek geographer
Strabo Strabo''Strabo'' (meaning "squinty", as in strabismus) was a term employed by the Romans for anyone whose eyes were distorted or deformed. The father of Pompey was called "Gnaeus Pompeius Strabo, Pompeius Strabo". A native of Sicily so clear-si ...
of Amaseia, in ''Geography'' 16.1–.6, writes: "In
Babylon Babylon ( ) was an ancient city located on the lower Euphrates river in southern Mesopotamia, within modern-day Hillah, Iraq, about south of modern-day Baghdad. Babylon functioned as the main cultural and political centre of the Akkadian-s ...
a settlement is set apart for the local
philosopher Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
s, the Chaldaeans, as they are called, who are concerned mostly with
astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
; but some of these, who are not approved of by the others, profess to be writers of
horoscope A horoscope (or other commonly used names for the horoscope in English include natal chart, astrological chart, astro-chart, celestial map, sky-map, star-chart, cosmogram, vitasphere, radical chart, radix, chart wheel or simply chart) is an ast ...
s. (There is also a tribe of the Chaldaeans, and a territory inhabited by them, in the neighborhood of the
Arabs Arabs (,  , ; , , ) are an ethnic group mainly inhabiting the Arab world in West Asia and North Africa. A significant Arab diaspora is present in various parts of the world. Arabs have been in the Fertile Crescent for thousands of yea ...
and of the
Persian Gulf The Persian Gulf, sometimes called the Arabian Gulf, is a Mediterranean seas, mediterranean sea in West Asia. The body of water is an extension of the Arabian Sea and the larger Indian Ocean located between Iran and the Arabian Peninsula.Un ...
, as it is called.) There are also several tribes of the Chaldaean astronomers. For example, some are called Orcheni hose from Uruk">Uruk.html" ;"title="hose from Uruk">hose from Uruk others Borsippeni [those from Borsippa], and several others by different names, as though divided into different sects which hold to various dogmas about the same subjects. And the mathematicians make mention of some of these men; as, for example, Kidenas, Nabourianos and
Soudines Sudines (or Soudines) () () was a Babylonian sage. He is mentioned as one of the famous Chaldean mathematicians and astronomer-astrologers by later Roman writers like Strabo (''Geographia'' 16:1–6). Biography Like his predecessor Berossos, Sud ...
". * The damaged colophon of a cuneiform clay tablet (VAT 209; see ACT 18) with a Babylonian System A
lunar Lunar most commonly means "of or relating to the Moon". Lunar may also refer to: Arts and entertainment * ''Lunar'' (series), a series of video games * "Lunar" (song), by David Guetta * "Lunar", a song by Priestess from the 2009 album ''Prior t ...
ephemeris In astronomy and celestial navigation, an ephemeris (; ; , ) is a book with tables that gives the trajectory of naturally occurring astronomical objects and artificial satellites in the sky, i.e., the position (and possibly velocity) over tim ...
for the years 49–48 BC states that it is the ersit of Nabu- iman-nu. This is similar to the colophons of two System B clay tablets that say that they are the ''tersitu'' of
Kidinnu Kidinnu (also ''Kidunnu''; possibly fl. 4th century BC; possibly died 14 August 330 BC) was a Chaldean astronomer and mathematician. Strabo of Amaseia called him Kidenas, Pliny the Elder called him Cidenas, and Vettius Valens called him Ki ...
. The following is an excerpt of a century of scholarship discussed in the sources referenced below. The meaning of ''tersitu'' is not known definitively. Already
Franz Xaver Kugler Franz Xaver Kugler (27 November 1862 – 25 January 1929) was a German chemist, mathematician, Assyriology, Assyriologist, and Jesuit priest.. Kugler was born in Neustadt an der Weinstraße, Königsbach, Palatinate (region), Palatinate, then ...
proposed that ''tersitu'' can be interpreted as "table" here; in another context it seems to mean something like "tool", but in yet another the word refers to a blue enamel paste. P. Schnabel, in a series of papers (1923–1927), interpreted the phrase as an assignment of authorship. Based on this, he argued that Naburimannu developed the Babylonian System A of calculating
Solar System The Solar SystemCapitalization of the name varies. The International Astronomical Union, the authoritative body regarding astronomical nomenclature, specifies capitalizing the names of all individual astronomical objects but uses mixed "Sola ...
ephemerides, and that Kidinnu later developed Babylonian System B.
Otto E. Neugebauer Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences as they were practiced in a ...
has remained reserved to this conclusion and disputed Schnabel's further inferences about Naburimannu's life and work. The mathematician
B.L. van der Waerden Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. Biography Education and early career Van der Waerden learned advanced mathematics at the University of Amste ...
later (1963, 1968, 1974) concluded that System A was developed during the reign of
Darius I Darius I ( ; – 486 BCE), commonly known as Darius the Great, was the third King of Kings of the Achaemenid Empire, reigning from 522 BCE until his death in 486 BCE. He ruled the empire at its territorial peak, when it included much of West A ...
(521–485 BC). System A, which uses
step function In mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having on ...
s, appears to be somewhat more primitive than System B, which uses
zigzag A zigzag is a pattern made up of small corners at variable angles, though constant within the zigzag, tracing a path between two parallel lines; it can be described as both jagged and fairly regular. In geometry, this pattern is described as a ...
linear function In mathematics, the term linear function refers to two distinct but related notions: * In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. For di ...
s, although System A is more consistent than System B. While it thus appears that System A preceded System B, both systems remained in use at least until the 1st century BC. The earliest preserved System A clay tablets (BM 36651, 36719, 37032, 37053) calculate an ephemeris for the
planet A planet is a large, Hydrostatic equilibrium, rounded Astronomical object, astronomical body that is generally required to be in orbit around a star, stellar remnant, or brown dwarf, and is not one itself. The Solar System has eight planets b ...
Mercury from 424 to 401 BC. The oldest preserved lunar tablets date from 306 BC in the
Hellenistic In classical antiquity, the Hellenistic period covers the time in Greek history after Classical Greece, between the death of Alexander the Great in 323 BC and the death of Cleopatra VII in 30 BC, which was followed by the ascendancy of the R ...
period. If Naburimannu was the originator of System A, then we can on that basis place him in Babylonia sometime between the Persian and Macedonian conquests.


References

*Otto E. Neugebauer: ''A History of Ancient Mathematical Astronomy'' Part Two IV A 4, 4A (p. 611). Springer, Heidelberg 1975 (reprinted 2004). *Otto E. Neugebauer: ''Astronomical Cuneiform Texts''. 3 volumes. London: 1956; 2nd edition, New York: Springer, 1983. (Commonly abbreviated as ''ACT''): Vol.I pp. 12,13 *Herman Hunger and
David Pingree David Edwin Pingree (January 2, 1933 – November 11, 2005) was an American historian of mathematics in the ancient world. He was a University Professor and Professor of History of Mathematics and Classics at Brown University. Life Pingree gra ...
: ''Astral Sciences in Mesopotamia'' pp. 215–217, 224, 258, 264. Brill, Leiden 1999.


External links


A. Braeken, V. Nikov, and S. Nikova, "Zigzag Functions and Related Objects in New Metric"


(defines and discusses zig-zag functions) Babylonian astronomers People from the Achaemenid Empire 6th-century BC astronomers