IDEAS home Printed from https://ideas.repec.org/p/cmh/wpaper/35.html
   My bibliography  Save this paper

Figuring out: the spread of Hindu-Arabic numerals in the European tradition of practical mathematics (13th-16th centuries)

Author

Abstract

The paper contributes to the literature focusing on the role of ideas, practices and human capital in pre-modern European economic development. It argues that studying the spread of Hindu-Arabic numerals among European practitioners allows to open up a perspective on a progressive transmission of useful knowledge from the commercial revolution to the early modern period. The analysis is based on an original database recording detailed information on over 1200 texts, both manuscript and printed. This database provides the most detailed reconstruction available of the European tradition of practical arithmetic from the late 13th to the end of the 16th century. It can be argued that this is the tradition which drove the adoption of Hindu-Arabic numerals in Europe. The dataset is analysed with statistical and spatial tools. Since the spread of these texts is grounded on inland patterns, the evidence suggests that a continuous transmission of useful knowledge may have played a role during the shift of the core of European trade from the Mediterranean to the Atlantic.

Suggested Citation

  • Raffaele Danna, 2019. "Figuring out: the spread of Hindu-Arabic numerals in the European tradition of practical mathematics (13th-16th centuries)," Working Papers 35, Department of Economic and Social History at the University of Cambridge, revised 03 Aug 2019.
  • Handle: RePEc:cmh:wpaper:35
    as

    Download full text from publisher

    File URL: http://www.econsoc.hist.cam.ac.uk/docs/CWPESHnumber35August2019.pdf
    File Function: None.
    Download Restriction: None.
    ---><---

    References listed on IDEAS

    as
    1. Dittmar, Jeremiah & Seabold, Skipper, 2019. "New media and competition: printing and Europe's transformation after Gutenberg," LSE Research Online Documents on Economics 102614, London School of Economics and Political Science, LSE Library.
    2. Jeremiah E. Dittmar, 2011. "Information Technology and Economic Change: The Impact of The Printing Press," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(3), pages 1133-1172.
    3. Joerg Baten & Jan Zanden, 2008. "Book production and the onset of modern economic growth," Journal of Economic Growth, Springer, vol. 13(3), pages 217-235, September.
    4. Mara P. Squicciarini & Nico Voigtländer, 2015. "Human Capital and Industrialization: Evidence from the Age of Enlightenment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(4), pages 1825-1883.
    5. Jeremiah Dittmar & Skipper Seabold, 2019. "New media and competition: printing and Europe's transformation after Gutenberg," CEP Discussion Papers dp1600, Centre for Economic Performance, LSE.
    6. A'Hearn, Brian & Baten, Jörg & Crayen, Dorothee, 2009. "Quantifying Quantitative Literacy: Age Heaping and the History of Human Capital," The Journal of Economic History, Cambridge University Press, vol. 69(3), pages 783-808, September.
    7. Daron Acemoglu & Simon Johnson & James Robinson, 2005. "The Rise of Europe: Atlantic Trade, Institutional Change, and Economic Growth," American Economic Review, American Economic Association, vol. 95(3), pages 546-579, June.
    8. Joel Mokyr, 2005. "The Intellectual Origins of Modern Economic Growth," Springer Books, in: Alberto Quadrio Curzio & Marco Fortis (ed.), Research and Technological Innovation, pages 17-80, Springer.
    9. Mokyr, Joel, 2005. "The Intellectual Origins of Modern Economic Growth," The Journal of Economic History, Cambridge University Press, vol. 65(2), pages 285-351, June.
    10. Rubin, Jared, 2010. "Bills of exchange, interest bans, and impersonal exchange in Islam and Christianity," Explorations in Economic History, Elsevier, vol. 47(2), pages 213-227, April.
    11. Adrian R. Bell & Chris Brooks & Tony K. Moore, 2017. "Cambium non est mutuum: exchange and interest rates in medieval Europe," Economic History Review, Economic History Society, vol. 70(2), pages 373-396, May.
    12. Reinert, Sophus A., 2011. "Translating Empire: Emulation and the Origins of Political Economy," Economics Books, Harvard University Press, number 9780674061514, Spring.
    13. Lawrence Stone, 1949. "Elizabethan Overseas Trade," Economic History Review, Economic History Society, vol. 2(1), pages 30-58, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Becker, Sascha O. & Francisco J. Pino & Vidal-Robert, Jordi, 2021. "Freedom of the Press? Catholic Censorship during the Counter-Reformation," The Warwick Economics Research Paper Series (TWERPS) 1356, University of Warwick, Department of Economics.
    2. Binzel, Christine & Link, Andreas & Ramachandran, Rajesh, 2021. "Language, Knowledge, and Growth: Evidence from Early Modern Europe," CEPR Discussion Papers 15454, C.E.P.R. Discussion Papers.
    3. Link, Andreas, 2023. "The Fall of Constantinople and the Rise of the West," VfS Annual Conference 2023 (Regensburg): Growth and the "sociale Frage" 277619, Verein für Socialpolitik / German Economic Association.
    4. Andreas Link, 2023. "The Fall of Constantinople and the Rise of the West," Working Papers 223, Bavarian Graduate Program in Economics (BGPE).
    5. Rapone, Tancredi, 2022. "Measuring human capital in the united states using copyright title pages, 1790-1870," LSE Research Online Documents on Economics 113448, London School of Economics and Political Science, LSE Library.
    6. Jeremiah Dittmar, 2015. "New Media, Competition and Growth: European Cities After Gutenberg," CEP Discussion Papers dp1365, Centre for Economic Performance, LSE.
    7. Raffaele Danna & Martina Iori & Andrea Mina, 2022. "A Numerical Revolution: The diffusion of practical mathematics and the growth of pre-modern European economies," LEM Papers Series 2022/18, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    8. Javier Mejia, 2018. "Social Interactions and Modern Economic Growth," Documentos CEDE 16379, Universidad de los Andes, Facultad de Economía, CEDE.
    9. Jakob B. Madsen & Fabrice Murtin, 2017. "British economic growth since 1270: the role of education," Journal of Economic Growth, Springer, vol. 22(3), pages 229-272, September.
    10. Mara P. Squicciarini & Nico Voigtländer, 2015. "Human Capital and Industrialization: Evidence from the Age of Enlightenment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(4), pages 1825-1883.
    11. Ogilvie, Sheilagh & Edwards, Jeremy & Küpker, Markus, 2022. "Economically relevant human capital or multi-purpose consumption good? Book ownership in pre-modern Württemberg," Explorations in Economic History, Elsevier, vol. 83(C).
    12. Davide Cantoni & Jeremiah Dittmar & Noam Yuchtman, 2017. "Reallocation and secularization: the economic consequences of the protestant reformation," CEP Discussion Papers dp1483, Centre for Economic Performance, LSE.
    13. de Pleijt, Alexandra M., 2015. "Human capital and long run economic growth : Evidence from the stock of human capital in England, 1300-1900," CAGE Online Working Paper Series 229, Competitive Advantage in the Global Economy (CAGE).
    14. Adrien Montalbo, 2020. "Industrial activities and primary schooling in early nineteenth-century France," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 14(2), pages 325-365, May.
    15. Dittmar, Jeremiah, 2015. "New media, competition and growth: European cities after Gutenberg," LSE Research Online Documents on Economics 63805, London School of Economics and Political Science, LSE Library.
    16. Adrien Montalbo, 2022. "Primary education and economic growth in nineteenth-century France," Cliometrica, Springer;Cliometric Society (Association Francaise de Cliométrie), vol. 16(2), pages 277-332, May.
    17. Baten, Jörg, 2019. "Elite Violence and Elite Numeracy in Europe from 500 to 1900 CE: A Co-Evolution?," CEPR Discussion Papers 14013, C.E.P.R. Discussion Papers.
    18. Buonanno, Paolo & Cinnirella, Francesco & Harka, Elona & Puca, Marcello, 2024. "Books Go Public: The Consequences of the Expropriation of Monastic Libraries on Innovation," CEPR Discussion Papers 18926, C.E.P.R. Discussion Papers.
    19. Davide Cantoni & Jeremiah Dittmar & Noam Yuchtman, 2018. "Religious Competition and Reallocation: the Political Economy of Secularization in the Protestant Reformation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(4), pages 2037-2096.
    20. Ralph Hippe & Roger Fouquet, 2024. "The Human Capital Transition and the Role of Policy," Springer Books, in: Claude Diebolt & Michael Haupert (ed.), Handbook of Cliometrics, edition 3, pages 411-457, Springer.

    More about this item

    Keywords

    Hindu-Arabic numerals; Useful Knowledge; Human capital; Numeracy; Commercial Revolution; Pre-modern European economic development; Bill of exchange; Capabilities and skills;
    All these keywords.

    JEL classification:

    • N33 - Economic History - - Labor and Consumers, Demography, Education, Health, Welfare, Income, Wealth, Religion, and Philanthropy - - - Europe: Pre-1913
    • N00 - Economic History - - General - - - General
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cmh:wpaper:35. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Amy Price (email available below). General contact details of provider: https://edirc.repec.org/data/dhcamuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.