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Connecting the Scientific and Industrial Revolutions: The Role of Practical Mathematics

Published online by Cambridge University Press:  06 July 2022

Morgan Kelly
Affiliation:
Professor at the School of Economics, University College Dublin, Dublin 4, Ireland. E-mail: Morgan.Kelly@ucd.ie
Cormac Ó Gráda*
Affiliation:
Professor Emeritus at the School of Economics, University College Dublin, Dublin 4, Ireland. E-mail: cormac.ograda@ucd.ie

Abstract

Disputes over whether the Scientific Revolution contributed to the Industrial Revolution begin with the common assumption that natural philosophers and artisans formed distinct groups. In reality, these groups merged together through a diverse group of applied mathematics teachers, textbook writers, and instrument makers catering to a market ranging from navigators and surveyors to bookkeepers. Besides its direct economic contribution in diffusing useful numerical skills, this “practical mathematics” facilitated later industrialization in two ways. First, a large supply of instrument and watch makers provided Britain with a pool of versatile, mechanically skilled labor to build the increasingly complicated machinery of the late eighteenth century. Second, the less well-known but equally revolutionary innovations in machine tools—which, contrary to the Habbakuk thesis, occurred largely in Britain during the 1820s and 1830s to mass-produce interchangeable parts for iron textile machinery—drew on a technology of exact measurement developed for navigational and astronomical instruments.

Type
Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Economic History Association

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Footnotes

We are grateful to Joel Mokyr and Peter Solar for extensive comments on earlier versions. The editors and referees of this Journal helped sharpen the arguments and presentation.

References

REFERENCES

Acemoglu, Daron, Johnson, Simon, and Robinson, James. “The Rise of Europe: Atlantic Trade, Institutional Change, and Economic Growth.” American Economic Review 95, no. 3 (2005): 546–79.CrossRefGoogle Scholar
Alder, Ken. Engineering the Revolution: Arms and Enlightenment In France, 1763–1815. Chicago: University of Chicago Press, 2010.CrossRefGoogle Scholar
Allen, Robert C. The Industrial Revolution in Global Perspective. Cambridge: Cambridge University Press, 2009.CrossRefGoogle Scholar
Atkins, Samuel Elliott, and Henry Overall, William. Some Account of the Worshipful Company of Clockmakers of the City of London. Privately Printed, 1881.Google Scholar
Barnes, Robin B. Astrology and Reformation. Oxford: Oxford University Press, 2016.Google Scholar
Ben Zeev, Nadav, Mokyr, Joel, and van der Beek, Karine. “Flexible Supply of Apprenticeship in the British Industrial Revolution.” Journal of Economic History 77, no. 1 (2017): 208–50.CrossRefGoogle Scholar
Bennett, James A.The Mechanic’s Philosophy and the Mechanical Philosophy.” History of Science 24, no. 1 (1986): 128.CrossRefGoogle Scholar
Bennett, James A. The Divided Circle: A History of Instruments for Astronomy, Navigation, and Surveying. Oxford: Phaidon, 1987.Google Scholar
Bennett, James A. “The Mechanical Arts.” In The Cambridge History of Science. Early Modern Science, Volume 3, edited by Park, Katharine and Daston, Lorraine, 673–95. Cambridge: Cambridge University Press, 2006.Google Scholar
Berg, Maxine, and Hudson, Pat. “Rehabilitating the Industrial Revolution.” Journal of Economic History 45, no. 1 (1992): 2450.Google Scholar
Bertucci, Paola, and Courcelle, Olivier. “Artisanal Knowledge, Expertise, and Patronage in Early Eighteenth Century Paris: The Société des Arts (1728–36).” Eighteenth Century Studies 48 (2015): 159–79.CrossRefGoogle Scholar
Biagioli, Mario. “From Print to Patents: Living on Instruments in Early Modern Europe.” History of Science 44, no. 2 (2006): 139–86.CrossRefGoogle Scholar
Bigelow, Erastus Brigham. The Tariff Question: Considered in Regard to the Policy of England and the Interests of the United States. New York: Little Brown, 1862.Google Scholar
Bracha, Oren. “The Commodification of Patents 1600–1836: How Patents Became Rights and Why We Should Care.Loyola of Los Angeles Law Review 38 (2004): 177244.Google Scholar
Broadberry, Stephen, Campbell, Bruce M. S., Klein, Alexander, Overton, Mark, and van Leeuwen, Bas. British Economic Growth, 1270–1870. Cambridge: Cambridge University Press, 2015.Google Scholar
Brown, Joyce. “Guild Organisation and the Instrument-Making Trade, 1550–1830: The Grocers’ and Clockmakers’ Companies.” Annals of Science 36, no. 1 (1979): 134.CrossRefGoogle Scholar
Buchwald, Jed Z., and Feingold, Mordechai. Newton and the Origin of Civilization. Princeton: Princeton University Press, 2013.Google Scholar
Burgess, Keith. “Technological Change and the 1852 Lock-Out in the British Engineering Industry.” International Review of Social History 14, no. 2 (1969): 215–36.CrossRefGoogle Scholar
Buringh, Eltjo, and Luiten van Zanden, Jan. “Charting the ‘Rise of the West’: Manuscripts and Printed Books in Europe, a Long-Term Perspective from the Sixth through Eighteenth Centuries.” Journal of Economic History 69, no. 2 (2009): 409–45.CrossRefGoogle Scholar
Burnett, D. Graham. “Descartes and the Hyperbolic Quest: Lens Making Machines and Their Significance in the Seventeenth Century.” Transactions of the American Philosophical Society 95, no. 1 (2005): 1152.CrossRefGoogle Scholar
Chaloner, W. H.The Skilled Artisan during the Industrial Revolution.” In Industry and Innovation: Selected Essays: W. H. Chaloner, edited by Farnie, D. A. and Henderson, W. O., 220–31. London: Routledge, 1969.Google Scholar
Chapman, Allan. “The Accuracy of Angular Measuring Instruments Used in Astronomy between 1500 and 1850.” Journal for the History of Astronomy 14, no. 2 (1983): 133–37.CrossRefGoogle Scholar
Chapman, Allan. Dividing the Circle: The Development of Critical Angular Measurement in Astronomy, 1500–1850. London: E. Horwood, 1990.Google Scholar
Clapham, John. An Economic History of Modern Britain: The Early Railway Age 1820–1850, Volume 1. Cambridge: Cambridge University Press, 1939.Google Scholar
Clark, Gregory. “Review Essay: The Enlightened Economy. An Economic History of Britain, 1700–1850 by Joel Mokyr.” Journal of Economic Literature 50, no. 1 (2012): 8595.CrossRefGoogle Scholar
Clifton, Gloria C. Directory of British Scientific Instrument Makers c.1550–1851. London: Zwemmer, 1994.Google Scholar
Cohen, Patricia Cline. A Calculating People: The Spread of Numeracy in Early America. London: Routledge, 1999.Google Scholar
Cookson, Gillian. Age of Machinery: Engineering the Industrial Revolution. Martlesham: Boydell and Brewer, 2018.CrossRefGoogle Scholar
Cormack, Lesley B.Handwork and Brainwork: Beyond the Zilsel Thesis.” In Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europe, edited by Lesley, B. Cormack, Steven, A. Walton, and John, A. Schuster, 1136. New York: Springer, 2017.CrossRefGoogle Scholar
Crawforth, M. A.Instrument Makers in the London Guilds.” Annals of Science 44 (1987): 319–77.CrossRefGoogle ScholarPubMed
Daumas, Maurice. “Precision Mechanics.” In A History of Technology: The Industrial Revolution c1750–c1850, edited by Charles Singer, E. J. Holmyard, Hall, A. R., and Trevor, J. Williams, 379416. Oxford: Oxford University Press, 1958.Google Scholar
Daumas, Maurice. Scientific Instruments of the Seventeenth and Eighteenth Centuries and their Makers. London: Portman, 1972.Google Scholar
Dijksterhuis, Eduard Jan. Simon Stevin: Science in the Netherlands around 1600. The Hague: Martinus Nijhoff, 1970.CrossRefGoogle Scholar
Fauché, E. L’apprentissage, principalement à Bordeaux du XVIIIe siècle à nos jours. Bordeaux: Cadoret, 1913.Google Scholar
Floud, R. C.The Adolescence of American Engineering Competition, 1860–1900.” Economic History Review 27, no. 1 (1974): 5771.CrossRefGoogle Scholar
Habakkuk, H. J. American and British Technology in the Nineteenth Century. Cambridge: Cambridge University Press, 1962.Google Scholar
Haines, Michael R.Estimated Life Tables for the United States, 1850–1910.” Historical Methods 31, no. 4 (1998): 149–69.CrossRefGoogle Scholar
Hall, A. Rupert. “What Did the Industrial Revolution in Britain Owe to Science?” In Historical Perspectives: Studies in English Thought and Society in Honour of J. H. Plumb, edited by McKendrick, Neil, 129–51. London: Europa Publications, 1974.Google Scholar
Harrison, Peter. The Fall of Man and the Foundations of Science. Cambridge: Cambridge University Press, 2007.CrossRefGoogle Scholar
Heilbron, J. L.The Measure of Enlightenment.” In The Quantifying Spirit in the 18th Century, edited by Tore Frängsmyr, J. L. Heilbron, and Robin, E. Rider, 207–42. Berkeley: University of California Press, 1990.Google Scholar
Hilaire-Pérez, Liliane. “Technology as a Public Culture in the Eighteenth Century: The Artisans’ Legacy.” History of Science 45, no. 2 (2007): 135–53.CrossRefGoogle Scholar
Hilaire-Pérez, Liliane, and Verna, Catherine. “Dissemination of Technical Knowledge in the Middle Ages and the Early Modern Era: New Approaches and Methodological Issues.” Technology and Culture 47, no. 3 (2006): 536–65.CrossRefGoogle Scholar
Hills, Richard L. Life and Inventions of Richard Roberts 1789–1864. Ashbourne: Landmark, 2002.Google Scholar
Hoffman, Philip T.Prices, the Military Revolution, and Western Europe’s Comparative Advantage in Violence.” Economic History Review 64, no. 1 (2011): 2959.CrossRefGoogle Scholar
Howes, Anton. Arts and Minds: How the Royal Society of Arts Changed a Nation. Princeton: Princeton University Press, 2020.Google Scholar
Howse, Derek. “Britain’s Board of Longitude: The Finances, 1714–1828.” The Mariner’s Mirror 84 (1998): 400–17.CrossRefGoogle Scholar
Hyman, Anthony. Charles Babbage: Pioneer of the Computer. Princeton: Princeton University Press, 1982.Google Scholar
Jacob, Margaret. Scientific Culture and the Making of the Industrial West. Oxford: Oxford University Press, 1997.Google Scholar
Jones, Matthew L. Reckoning with Matter: Calculating Machines, Innovation, and Thinking about Thinking from Pascal to Babbage. Chicago: University of Chicago Press, 2016.CrossRefGoogle Scholar
Kain, Roger J. P., and Baigent, Elizabeth. The Cadastral Map in the Service of the State: A History of Property Mapping. Chicago: University of Chicago Press, 1992.Google Scholar
Kelly, Morgan, Mokyr, Joel, and Ó Gráda, Cormac. “Precocious Albion: A New Interpretation of the British Industrial Revolution.” Annual Reviews of Economics 6 (2014): 363–89.CrossRefGoogle Scholar
Kelly, Morgan. “The Mechanics of the Industrial Revolution.” Journal of Political Economy 131, no. 1 (2023), forthcoming.Google Scholar
Kelly, Morgan, and Ó Gráda, Cormac. “Adam Smith, Watch Prices, and the Industrial Revolution.” Quarterly Journal of Economics 131, no. 4 (2016): 1727–52.CrossRefGoogle Scholar
Kelly, Morgan, and Ó Gráda, Cormac. “Connecting the Scientific and Industrial Revolutions: The Role of Practical Mathematics.” Ann Arbor, MI: Inter-university Consortium for Political and Social Research [distributor], 2022-05-19. https://doi.org/10.3886/E170761V1.CrossRefGoogle Scholar
Kelly, Morgan, Gráda, Cormac Ó, and Solar, Peter. “Safety at Sea during the Industrial Revolution.” Journal of Economic History 81, no. 1 (2021): 239–75.CrossRefGoogle Scholar
Landes, David S. Revolution in Time: Clocks and the Making of the Modern World. Cambridge: Harvard University Press, 1983.Google Scholar
Lane, Frederic C. Venetian Ships and Shipbuilders of the Renaissance. Baltimore: John Hopkins University Press, 1934.Google Scholar
MacLeod, Christine. Heroes of Invention: Technology, Liberalism and British Identity, 1750–1914. Cambridge: Cambridge University Press, 2007.Google Scholar
Mandron, M. Ernest. Les Fondations de Prix à l’Académie des Sciences. Paris: Gauthier-Villars, 1881.Google Scholar
Mathias, Peter. The Brewing Industry in England, 1700–1830. Cambridge: Cambridge University Press, 1959.Google Scholar
Mathias, Peter . (ed.). “Who Unbound Prometheus? Science and Technological Change 1600–1800.” In Science and Society, 1600–1900. Cambridge: Cambridge University Press, 1972.Google Scholar
Maxwell, James Clark. The Theory of Heat. London: Longmans, 1871.Google Scholar
McConnell, Anita. “From Craft Workshop to Big Business: The London Scientific Instrument Trade’s Response to Increasing Demand, 1750–1820.” London Journal 19 (1994): 3653.CrossRefGoogle Scholar
Minns, Christopher, and Wallis, Patrick. “Rules and Reality: Quantifying the Practice of Apprenticeship in Early Modern England.” Economic History Review 65, no. 2 (2012): 556–79.CrossRefGoogle Scholar
Mokyr, Joel. The Gifts of Athena: Historical Origins of the Knowledge Economy. Princeton: Princeton University Press, 2011.CrossRefGoogle Scholar
Mokyr, Joel. A Culture of Growth: The Origins of the Modern Economy. Princeton: Princeton University Press, 2016.CrossRefGoogle Scholar
Moore, Dennis. British Clockmakers and Watchmakers Apprentice Records 1710–1810. Liverpool: Mayfield Books, 2003.Google Scholar
Moran, Bruce T.German Prince Practitioners: Aspects in the Development of Courtly Science, Technology, and Procedures in the Renaissance.” Technology and Culture 22 (1981): 253–74.CrossRefGoogle Scholar
Morrison-Low, A. D. Making Scientific Instruments in the Industrial Revolution. Aldershot: Ashgate, 2007.Google Scholar
Musson, A. E.Joseph Whitworth and the Growth of Mass-Production Engineering.” Business History 17, no. 2 (1975): 109–49.CrossRefGoogle Scholar
Musson, A. E., and Robinson, Eric. Science and Technology in the Industrial Revolution. Manchester: Manchester University Press, 1969.Google Scholar
Neal, Katherine. “The Rhetoric of Utility: Avoiding Occult Associations for Mathematics through Profitability and Pleasure.” History of Science 37, no. 1 (1999): 151–78.CrossRefGoogle Scholar
Newton, Isaac. The Mathematical Papers of Isaac Newton: 1691–1695, Volume 7. Cambridge: Cambridge University Press, 2008.Google Scholar
Nuvolari, Alessandro, and Sumner, James. “Inventors, Patents, and Inventive Activities in the English Brewing Industry, 1634–1850.” Business History Review 87, no. 1 (2013): 95120.CrossRefGoogle Scholar
Gráda, Ó, Cormac. “Notes on Guilds on the Eve of the French Revolution.” UCD Centre for Economic Research Working Paper Series No. WP18/04, Dublin, Ireland, February 2018.Google Scholar
Ogilvie, Sheilagh. The European Guilds: An Economic Analysis. Princeton: Princeton University Press, 2019.Google Scholar
Pledge, J. T. Science Since 1500. London: His Majesty’s Stationery Office, 1939.Google Scholar
Pumphrey, Stephen. “Who Did the Work? Experimental Philosophers and Public Demonstrators in Augustan England.” British Journal for the History of Science 28, no. 2 (1995): 131–56.CrossRefGoogle Scholar
Riello, Giorgio. “Strategies and Boundaries: Subcontracting and the London Trades in the Long Eighteenth Century.” Enterprise and Society 9, no. 2 (2008): 243–80.CrossRefGoogle Scholar
Roche, John J. The Mathematics of Measurement: A Critical History. New York: Springer, 1998.Google Scholar
Roe, Joseph Wickham. English and American Tool Builders. New York: McGraw-Hill, 1916.Google Scholar
Rolt, L. T. C. Tools for the Job: A Short History of Machine Tools. London: Batsford, 1965.Google Scholar
Rosenberg, Nathan. The American System of Manufactures. The Report of the Committee on the Machinery of the United States 1855 and the Special Reports of George Wallis and Joseph Whitworth 1854. Edinburgh: Edinburgh University Press, 1969.Google Scholar
Rossi, Paolo. Philosophy, Technology and the Arts in the Early Modern Era. New York: Harper and Row, 1970.Google Scholar
Rothbarth, Erwin. “Causes of the Superior Efficiency of the USA Industry as Compared with British Industry.” Economic Journal 56, no. 1 (1946): 383–90.CrossRefGoogle Scholar
Rutkin, H. Darrel. “Astrology.” In The Cambridge History of Science: Early Modern Science, Volume 3, edited by Park, Katharine and Daston, Lorraine, 541–61. Cambridge: Cambridge University Press, 2006.Google Scholar
Shapin, Steven. A Social History of Truth: Civility and Science in Seventeenth-Century England. Chicago: University of Chicago Press, 1994.CrossRefGoogle Scholar
Smiles, Samuel. Lives of the Engineers: With an Account of Their Principal Works. London: John Murray. In five volumes, 1861.Google Scholar
Smiles, Samuel. Industrial Biography: Iron Workers and Tool Makers. London: Ticknor and Fields, 1864.Google Scholar
Smyth, William J. Map-Making, Landscapes and Memory: A Geography of Colonial and Early Modern Ireland c.1530–1750. Cork: Cork University Press, 2006.Google Scholar
Sorrenson, Richard. “George Graham, Visible Technician.” British Journal for the History of Science 32, no. 2 (1999): 203–21.CrossRefGoogle Scholar
Sorrenson, Richard. “The State’s Demand for Accurate Astronomical and Navigational Instruments in Eighteenth Century Britain.” In The Consumption of Culture, 1600–1800, edited by Bermingham, Ann and Brewer, John, 263–71. London: Routledge, 1995.Google Scholar
Stewart, Larry. “Instruments and Guilds in Early-Modern Britain.” Early Science and Medicine 10 (2005): 392410.CrossRefGoogle Scholar
Struik, Dirk Jan. The Land of Stevin and Huygens: A Sketch of Science and Technology in the Dutch Republic During the Golden Century. Dordrecht: Reidel, 1981.CrossRefGoogle Scholar
Taylor, E. G. R. The Mathematical Practitioners of Tudor and Stuart England. Cambridge: Cambridge University Press, 1954.Google Scholar
Taylor, E. G. R. The Haven Finding Art: A History of Navigation from Odysseus to Captain Cook. London: Hollis and Carter, 1971.Google Scholar
Temin, Peter. “Labor Scarcity and the Problem of American Industrial Efficiency in the 1850s.” Journal of Economic History 26, no. 3 (1966): 277–98.CrossRefGoogle Scholar
Valleriani, Matteo. Galileo Engineer. New York: Springer, 2010.CrossRefGoogle Scholar
Wakefield, Andre. “Leibniz and the Wind Machines.” Osiris 25, no. 1 (2010): 177–88.CrossRefGoogle Scholar
Westman, Robert S. The Copernican Question: Prognostication, Skepticism, and Celestial Order. Berkeley: University of California Press, 2011.CrossRefGoogle Scholar
Wolf, A. A History of Science, Technology and Philosophy in the Eighteenth Century, Volume 1. London: George Allen and Unwin, 1962.Google Scholar
Wolf, Charles. Histoire de l’Observatoire de Paris de sa fondation à 1793. Paris: Gauthier-Villars, 1902.Google Scholar
Woodbury, Robert S. Studies in the History of Machine Tools. Cambridge: MIT Press, 1972.Google Scholar
Woolrich, A. P.The London Engineering Industry at the Time of Henry Maudslay.” In Henry Maudslay and the Pioneers of the Machine Age, edited by Cantrell, John and Cookson, Gillian, 94108. Stroud: Tempus, 2002.Google Scholar
Wyke, John. A Catalogue of Tools for Watch and Clock Makers by John Wyke of Liverpool. Charlottesville: University Press of Virginia, 1977.Google Scholar
Zilsel, Edgar. “The Origins of William Gilbert’s Scientific Method.” Journal of the History of Ideas 2, no. 1 (1941): 132.CrossRefGoogle Scholar
Zilsel, Edgar. “The Sociological Roots of Science.” American Journal of Sociology 47, no. 4 (1942): 544–62.CrossRefGoogle Scholar