Organisation: Karine Chemla, Agathe Keller, Christine Proust
ATTENTION You will find scientific activities specific to the project and team members on the website http://sawerc.hypotheses.org/
As part of the SAW project, this year seminar explores connections between ancient documents for practical use, such as contracts, accounts, administrative papers, and mathematical texts. The objectives are to gauge the mathematical knowledge of those who produced these documents and to identify the environment that attracted scholars who wrote mathematical texts. The seminar is intended as a meeting of historians of mathematics with historians of economical, financial, and administrative acts, with assyriologists, indologists, sinologists, and other specialists.
The seminar takes place on Fridays, 9:30 - 18:00, usually in Room Mondrian — 646A, 6th floor, Building Condorcet, Paris Diderot University, 75013. Exceptions are listed below.
Interactive campus map showing metro and RER station and bus stops.
PROGRAM
16 December 2011
Exceptionally, room Klimt — 366A:: 1. Numbers and operations: Mathematical texts, administrative texts
What are the numbers found in different mathematical texts? What kind of numbers do administrative texts testify of? Were such numbers only made for writing, or could they have been used in computations? What kind of mathematical operations are evoked by administrative texts, implicitly or explicitly? Do these features allow us to grasp continuities between mathematical sources and documents of day to day practice, or do they manifest striking differences?
Introduction :
Karine Chemla (ERC Project SAW & SPHERE)
Number and operations in contexts linked to administration and astronomy in ancient China
Charles Malamoud (EHESS)
Counting and measuring in the Arthashastra’s administrative system Abstract
Laurent Colonna d’Istria (University of Geneva)
The notation of fractions in the kingdom of Mari
Grégoire Nicolet (University of Geneva): reply
For personal reasons, the following talks have been postponed
Sreeramula Rajeswara Sarma: Numbers and operations in Sanskrit mathematical texts
Xiaoli Ouyang: Enigmatic numbers on the margins of administrative records from Ur III Mesopotamia (c. 2112-2004 BCE)
6 January 2012
:: 2. Using positions: Mathematical practices, accounting practices
Position is a device used by mathematicians and accountants alike. This workshop compares uses of positions by different practicioners in different geographical locations.
Christine Proust (ERC Project SAW & SPHERE)
Uses of place-value notations in cuneiform mathematical texts Abstract
Jens Høyrup (Roskilde University)
On the notion of "Exp10 (log10 (modulo 1))" –observations of a former teacher of engineering students on the use of the slide rule Abstract
Zhu Yiwen (ERC Project SAW & SPHERE)
Positions of counting rods in ancient China
Agathe Keller (ERC Project SAW & SPHERE)
Positional and tabular notations in Sanskrit mathematical texts (7th - 10th centuries) Handout Presentation
Mathieu Arnoux (ICT (Identités, Cultures, Territoires), University Paris Diderot)
Ancient accounts and history of accounting. A medievalist’s reflection on the use of quantitative data
Liliane Perez (ICT (Identités, Cultures, Territoires), University Paris Diderot & SPHERE)
Artisans’ accounting practices and operations skills in the 18th century
Abstract
Grégory Chambon (University Bretagne Occidentale) and Laurent Colonna d’Istria (University of Geneva): reply
20 January 2012
:: 3. Trade, loans, interests, and customs
Commercial transactions have left traces in practical documents and in mathematical trexts. Are the two connected? Are there any contextual links?
Cécile Michel (CNRS, UMR Histoire et ARchéologie de l’Orient Cunéiforme (HAROC))
Price, interest, and tax calculation by the Old Assyrian merchants (19th century BC))
Christine Proust (ERC Project SAW & SPHERE)
Economical problems in cuneiform mathematical texts : an example of a list of problems on buying and selling (YBC 4698)
Takanori Kusuba (Osaka University of Economics, Osaka)
Rules and examples for interests and loans in Sanskrit mathematical texts
Peng Hao (Center of Bamboo and Silk Manuscripts, Wuhan & Jingzhou Museum, China)
Salaries of government official according to the writings of the Qin and the Han dynasty
Reply: Karine Chemla
Stéphane Lamassé (University Paris Panthéon Sorbonne) et Olivier Mattéoni (University Paris Panthéon Sorbonne)
Computing and accounting in the 15th century
Grégory Chambon (University Bretagne Occidentale) and Laurent Colonna d’Istria (University of Geneva): reply
3 February 2012
Exceptionally, room Klimt — 366A:: 4. Accounting in administrations, taxes, and salaries
What sources provide information on the way taxes and income taxes were levied? What is the status of these sources? What environment do they point to? What links can be drawn between different kinds of sources?
Bertrand Lafont (CNRS, UMR Histoire et ARchéologie de l’Orient Cunéiforme (HAROC))
Accounting practices in Sumer: Some illustrations
Robert Middeke-Conlin (ERC Project SAW & SPHEREt)
Creative accounting: Anomalies in bookkeeping during the Old Babylonian period Abstract
Michael Loewe (Cambridge University)
The place of figures in the administration of China’s early empires Abstract
Peng Hao (Center of Wuhan University and Xingzhou Museum)
Governmental tax revenue according to the documents of the Qin and Han dynasties
Agathe Keller (ERC Project SAW & SPHERE)
Introduction. Presentation
Price of people and distributions: From merchant communities to games in Sanskrit mathematical texts of the 7th-12th centuries
Vijaya Ramaswamy (Jawaharlal Nehru University, New Delhi)
Tax structure in ancient India: A view from the South
9 March 2012
:: 5. Grains and granaries
Grain was an essential commodity of the ancient world. Both administrative documents and mathematical texts refer to problems of grain management, which was often a state matter. What historical approaches can help us to understand grain accounting and the mathematical tools it required?
a.m.
Grégory Chambon (University Bretagne Occidentale)
Measuring grain in Mesopotamia: storing, controlling, and delivering grain
Robert K. Englund (UCLA)
Grain and time calculations in the 4th millennium BC Mesopotamia Abstract
Presentation
Karine Chemla (ERC Project SAW & SPHERE) & Ma Biao (Yamaguchi University)
Management of grains, measuring units, and the imperial policy of the Qin and the Han
p.m.
Agathe Keller (ERC Project SAW & SPHERE)
Introduction: Grain problems in Sanskrit mathematical texts Presentation
Vasundhara Filliozat (Historian)
Weights and measures in South India from 6th to 16th century, with special reference to Karnataka
6 April 2012
:: 6. Constructions and excavations
Ancient mathematical texts include numerous problems on all sorts of constructions. What are connections between these problems and related procedures, on the one hand, and practical documents on construction, on the other?
Corinna Rossi (Collegio di Milano)
Ancient Egypt: Planning and cutting the royal tombs in the Valley of the Kings
Martin Sauvage (CNRS, USR 3225, Société Préhistorique Française et UMR Histoire et ARchéologie de l’Orient Cunéiforme (HAROC))
Mathematical computations in the management of public works in Mesopotamia (end of the 3rd and beginning of the 2nd millennium BCE) Abstract Presentation
Christine Proust (ERC Project SAW & SPHERE)
Bricks as units of volume: Reference texts and problems Abstract
Toke L. Knudsen (SUNY Oneonta, New York State)
Bricks real and imaginary: The altar constructions of the Sulbasutras Abstract
Donald B. Wagner ( Nordic Institute of Asian Studies, Denmark)
Mathematics and the planning of public works in China, Han to Yuan Presentation
Paul Benoit (University Paris 1 Panthéon Sorbonne)
Mine topography and trigonometry at the end of the Middle Ages and during the Renaissance
11 May 2012
:: 7. Land registers and surveyors: Measuring lengths and areas
In the ancient world, land surveying was a specialised activity, which required mathematical knowledge. What sources document this activity? Are there any connections between these sources and mathematical texts?
Sergio Alivernini (Sapienza University, Roma)
The mathematical knowledge during the III Dynasty of Ur in the light of land surveying texts Abstract
Christine Proust (ERC Project SAW & SPHERE)
From land surveying to geometry: Kish school exercises
Agasibagil Jagadish (Venkatappa Art Gallery, Bangalore) (subject to confirmation)
Text and practices: Land measure in South India. A special reference to Karnataka Abstract
Xiao Can (Hunan University)
Measurement, calculation, and management of fields in the Qin and Han dynasties according to the excavated documents
Zou Dahai (Institute for the History of Natural Sciences, Chinese Academy of Science, Beijing)
The methods for calculation of fields and land system in the Middle Ancient Period of China
15 June 2012
:: 8. Names of operations : Meaning of the terms and sociolinguistic analysis
Can names given to operations give us clues as to the context in which mathematical documents were produced?
Jens Høyrup (Roskilde University)
On paleo-babylonian mathematical terminology and its transformations in the mathematics of later periods
Mathieu Ossendrijver (Tübingen University)
Mathematical terminology in Babylonian astronomical texts Presentation
Michel Federspiel (University Blaise Pascal, Clermont-Ferrand)
Comparing uses of verbs expressing operations in Classical Greek geometry (Euclide, Archimedes, Apollonius)
Karine Chemla (ERC Project SAW & SPHERE)
Names of operations in ancient China: which hints can we read from them ?
Pierre-Sylvain Filliozat (EPHE)
Computing in different Indian languages