Segmentation of Texts in Old Babylonian Mathematics
This chapter offers an analysis of the segmentation of texts into lists of mathematical problems written on clay tablets during the Old Babylonian period (early second millennium BCE). The study focuses on mathematical series texts, that is, long lists of statements written on several numbered tablets. Two aspects are considered: material segmentation (sections, columns, tablets…) and textual segmentation (statements, groups of statements), as well as the relationship between these two aspects. It is shown that the analysis of parts of text may be a powerful tool for the reconstruction of the entire series and for detecting the operations on texts which produced the series.
Neugebauer, et al. 1945
- Friberg, J. 2000. Mathematics at Ur in the Old Babylonian period. Revue d’Assyriologie 94: 98–188.Google Scholar
- Høyrup, J. 2000. The finer structure of the Old Babylonian mathematical corpus. Elements of classification, with some results. In Assyriologica et Semitica. Festschrift für Joachim Oelsner anläßlich seines 65 (AOAT), eds. Marzahn, J., and H. Neumann, 117–178. Münster: Ugarit Verlag.Google Scholar
- Høyrup, J. 2001. The Old Babylonian square texts–BM 13901 and YBC 4714. Retranslation and analysis. In Changing views on ancient Near Eastern Mathematics, eds. Høyrup, J., and P. Damerow, 155–218. Berlin: Berliner Beiträge zum Vorderen Orient.Google Scholar
- Høyrup, J. 2002. Lengths, widths, surfaces. A portrait of Old Babylonian algebra and its kin. Studies and Sources in the History of Mathematics and Physical Sciences. Berlin: Springer.Google Scholar
- Kramer, S.N. 1949. Schooldays: a Sumerian composition relating to the education of a scribe. Philadelphia, Penn.: The University Museum.Google Scholar
- Middeke-Conlin, R., and Proust, C. 2014. Interest, price, and profit: An overview of mathematical economics in YBC 4698. Cuneiform Digital Library Journal: 3. (http://cdli.ucla.edu/pubs/cdlj/2014/cdlj2014_003.html).
- Neugebauer, O. 1935–1937. Mathematische Keilschrifttexte I-III. Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik. Berlin: Springer.Google Scholar
- Neugebauer, O., and Sachs, A. J. 1945. Mathematical cuneiform texts. American Oriental Studies, vol. 29. New Haven, Conn.: American Oriental Series & American Schools of Oriental Research.Google Scholar
- Proust, C. 2013. Du calcul flottant en Mésopotamie. La Gazette des Mathématiciens 138: 23–48.Google Scholar
- Proust, C. 2015. A tree-structured list in a mathematical series text from Mesopotamia. In Texts, textual acts and the history of science, eds. Chemla, K., and J. Virbel, 281–316. Archimedes. Berlin: Springer.Google Scholar
- Proust, C. Forthcoming. Algorithms through sets of problems in Old Babylonian cuneiform texts: steps without meaning. In Practices of reasonning in ancient mathematics and astral sciences, eds. Proust, C., M. Husson and A. Keller [in press].Google Scholar
- Thureau-Dangin, F. 1938. Textes mathématiques Babyloniens. Leiden: Ex Oriente Lux.Google Scholar