The French Connection: Borda, Condorcet and the Mathematics of Voting Theory – References

Author(s): 
Janet Heine Barnett (Colorado State University – Pueblo)

Acton, H. B. Marie-Jean-Antoine-Nicolas de Caritat, marquis de Condorcet, Encyclopædia Britannica. Encyclopædia Britannica, Inc. Last Updated: March 25, 2020. Accessed: August 1, 2020.

Alder, K. A Revolution to Measure: The Political Economy of the Metric System in France. In The Values of Precision (Ed. M. Norton Wise). Princeton University Press, 1995, pp. 39–71.

Alder, K. The Measure of All Things: The Seven Year Odyssey and Hidden Error that Transformed the World. Free Press, 2002.

Airy, G. B. et al. Second Report of the Commissioners Appointed to Inquire into the Condition of the Exchequer (Now Board of Trade) Standards on the Question of the Introduction of the Metric System of Weights and Meaures into the United Kingdom. London: G.E. Eyre and W. Spottiswoode, 1869.

Arrow, K. Social Choice and Individual Values. Yale University Press, 1951. Second edition published by Wiley in 1968. Third edition published by Yale in 2012.

Barberà, S., Bossert, W. & Suzumura, K. Daunou’s voting rule and the lexicographic assignment of priorities. Social Choice and Welfare. (2020). https://doi.org/10.1007/s00355-020-01276-w.

Berges, S. Sophie de Grouchy. The Stanford Encyclopedia of Philosophy Archive (Ed. E. N. Zalta). Winter 2019 Edition. Accessed: September 21, 2020.

Black, D. The Theory of Committee and Elections. Cambridge University Press, 1958. Republished by Springer, 1987. https://doi.org/10.1007/978-94-009-4225-7.

Borda, J-C de. Mémoire sur les élections au scrutin (Memoir on elections by ballot). Histoires et Mèmoires de I'academie royale des sciences, Année 1781. Paris: Baudouin, Imprimeur de l'Institut National, 1784, pp. 657–665.

Brewer, D. Philosophes. Europe, 1450 to 1789: Encyclopedia of the Early Modern World. Encyclopedia.com. Last updated: August 11, 2020. Accessed: August 15, 2020.

Brian, É. Condorcet and Borda in 1784. Misfits and Documents. Electronic Journal for History of Probability and Statistics. Vol. 4, No. 1 (June 2008).

Bristow, W. Enlightenment. The Stanford Encyclopedia of Philosophy Archive (Ed. E. N. Zalta). Fall 2017 Edition. Accessed: August 15, 2020.

Condorcet, marquis de. Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix. Paris: Imprimerie Royale, 1785.

Condorcet, marquis de. Condorcet: Political Writings (Ed. N. Urbinait and S Lukes). Cambridge: Cambridge University Press, 2012.

Condorcet, marquis de. “Observations de Condorcet sur le vingt-neuvième livre de ‘L'esprit des lois’" (“Observations on the twenty-ninth book of ‘Spirit of Laws’”). In Oeuvres Complète de Condorcet, Tome 1 (Ed. A. Condorcet O’Connor and M. F. Arago). Paris: Firmin Didot frères, 1847, pp. 363–388. Reprinted in [de Tracy 1817, pp. 435–471].

Condorcet, marquis de. Plan de Constitution présenté à la Convention nationale les 15 et 16 février 1793, l'an II de la République (Draft Constitution presented to the National Convention on  15–16 February 1792, second year of the Republic). Digithèque de matériaux juridiques et politiques (website, Ed. Jean-Pierre Maury).

Daston, L. Classical Probability in the Enlightenment. Princeton University Press, 1988.

Daunou, P. Mémoire sur les élections au scrutin (Memoir on elections by ballot). Paris: Baudouin, imprimeur de l’Institut National, 1803.

Crook, M. Elections in the French Revolution: An Apprenticeship in Democracy, 1789–1799. Cambridge University Press, 1996.

de Grazia, A. Mathematical Derivation of an Election System. Isis. Vol. 44, No. 1/2 (June 1953), pp. 42–51.

de Tracy, A. Commentaire sur l'Esprit des Lois de Montesquieu par M. le comte de Destutt de Tracy, suivi de observations inédites de Condorcet sur le vingt-neuvième livre du même ouvrage, etc. (Commentary on The Spirit of the Laws by M. the count of Destutt de Tracy, followed by the unedited observations of Condorcet on the twenty-ninth book of that same work, etc). Paris, 1811. English translation by Thomas Jefferson, Philadelphia: William Duane, 1811. Later French editions published in Liege: Desoer, 1817, and Paris: Desoer, 1819.

Fairclough, C. Happy Birthday, Jean-Charles de Borda. COMSOL Blog. Posted: May 4, 2018. Accessed: August 1, 2020.

Fonseca, G. Marie Jean Antoine Nicolas de Caritat, Marquis de Condorcet, 1743–1794. The History of Economic Thought. Last updated: 2015. Accessed: August 1, 2020.

Gillmor, S. Borda, Jean-Charles. In Dictionary of Scientific Biography (Ed. C. C. Gillespie). New York: Charles Scribner's Sons, 1970–1990. Available at https://mathshistory.st-andrews.ac.uk/DSB/Borda.pdf.

Granger, G. Condorcet, Marie-Jean-Antoine-Nicolas Caritat, Marquis De. In Dictionary of Scientific Biography (Ed. C. C. Gillespie). New York: Charles Scribner's Sons, 1970–1990. Available at https://mathshistory.st-andrews.ac.uk/DSB/Condorcet.pdf.

Grendler, P. Jesuit Schools in Europe. A Historiographical Essay. Journal of Jesuit Studies. Vol. 1 (2014), pp. 7–25.

Grozier, J. and Osiecki, S. The metre and the metric system. In Precise Dimensions: A history of units from 1791–2018 (Ed. M. Cooper and J. Grozier). IOP Publishing Ltd, 2017, pp. 1–19.

Haag, K. Salonnières (fl. 17th and 18th c.). Women in World History: A Biographical Encyclopedia. Encyclopedia.com. Last updated: August 11, 2020. Accessed: August 15, 2020.

Hahn, R. Anatomy of a Scientific Institution: The Paris Academy of Sciences, 1666–1803. Berkeley: University of California Press, 1971.

Hallock, W. and Wade, H. T. Outlines of the Evolution of Weights and Measures and the Metric System. New York: Macmillan, 1906.

Heilbron, J. L. The Measure of Enlightenment. In The Quantifying Spirit in the Eighteenth Century (Ed. T. Frangsmyr, J. L. Heilbron and R. E. Rider). Berkeley: University of California Press, 1990, pp. 207–244.

Heilbron, J. L. The politics of the meter stick. American Journal of Physics. Vol. 57, No. 11 (November 1989), pp. 988–992. https://doi.org/10.1119/1.15781.

Herivel, J. Joseph Fourier: the Man and Physicist. Oxford: Clarendon Press, 1975.

Landes, J. The History of Feminism: Marie-Jean-Antoine-Nicolas de Caritat, Marquis de Condorcet. The Stanford Encyclopedia of Philosophy Archive (Ed. E. N. Zalta). Fall 2018 Edition. Accessed: September 21, 2020.

Lougee, C. Salons. Europe, 1450 to 1789: Encyclopedia of the Early Modern World. Encyclopedia.com. Last updated: August 11, 2020. Accessed: August 15, 2020.

Lynn, M. Executions, the Guillotine and the French Revolution. The Ultimate History Project. n.d. Accessed: August 29, 2020.

Marie Jean Antoine Nicolas Caritat Condorcet. Encyclopedia Britannica 1911. Last modified: September 29, 2010. Accessed: August 29, 2020.

Mascart, J. La vie et les travaux du chevalier Jean-Charles de Borda : 1733–1799. Épisodes de la vie scientifique au XVIIIe siècle. Lyon: A. Rey, 1919.

McLean, I. The Borda and Condorcet Principles: Three Medieval Applications. Social Choice and Welfare. Vol. 7, No. 2 (April 1990), pp. 99–108.

McLean, I. Voting. In The Mathematical World of Charles L. Dodgson (Lewis Carroll) (Ed. R. Wilson and A. Moktefi). Oxford University Press, 2019, pp. 121–140.

Mignet, M. Histoire de la révolution française depuis 1789 jusqu'en 1814 (History of the French Revolution, from 1789 to 1814). Paris: Firmin Didot, 1824. English translation, London: David Bogue, 1846.

Noguès, O. Jean-Charles de Borda. Landmarks of the World. n.d. Accessed: August 1, 2020.

O'Connor, J. J. and Robertson, E. F. Jean Charles de Borda. MacTutor History of Mathematics Archive. University of Saint Andrews. Last Updated: April 2003. Accessed: August 1, 2020.

O'Connor, J. J. and Robertson, E. F. Marie Jean Antoine Nicolas de Caritat Condorcet. MacTutor History of Mathematics Archive. University of Saint Andrews. Last Updated: December 1996. Accessed: August 1, 2020.

Richards, J. Historical Mathematics in the French Eighteenth Century. Isis, Vol. 97 (2006), pp. 700–713.

Shapiro, G., Tackett, T., Dawson, P. and Markoff, J. Revolutionary Demands: A Content Analysis of the Cahiers de Doléances of 1789. Stanford University Press, 1998.

Smeaton, W. A. “The Foundation of the Metric System in France in the 1790s: The Importance of Etienne Lenoir’s Platinum Measuring Instruments.” Platinum Metals Review. Vol. 44, No. 3 (2000), pp. 125–134.

Souboul, A. Lazare Carnot. Encyclopædia Britannica. Encyclopædia Britannica, Inc. Last Updated: July 29, 2020. Accessed: August 29, 2020.

Tietz, T. The Instruments of Jean-Charles de Borda. SciHi Blog. Posted: May 4, 2017. Accessed: August 1, 2020.

Urken, A. Grokking Condorcet’s 1785 Essai. Electronic Journal for History of Probability and Statistics. Vol. 4, No. 1 (June 2008).

Young, A. Metrication in 1790s France: When people got what they asked for, but not what they wanted. The State of the Unit: Documentary Blog, Updates, and Pre-Takes. Posted: October 23, 2016. Accessed: September 21, 2020.

Young, H. P. Condorcet’s Theory of Voting. American Political Science Review. Vol. 82, No. 4 (December 1988).