Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-23T21:49:35.179Z Has data issue: false hasContentIssue false

WILLIAM PETTY, THE MULTIPLICATION OF MANKIND, AND DEMOGRAPHIC DISCOURSE IN SEVENTEENTH-CENTURY ENGLAND

Published online by Cambridge University Press:  04 December 2017

PAUL SLACK*
Affiliation:
Linacre College, Oxford
*
Linacre College, Oxford, ox1 3japaul.slack@linacre.ox.ac.uk

Abstract

In the 1650s, after a century of increase, the population of England stopped growing. It was not to increase substantially again before 1750. Over the same interval, and not wholly coincidentally, scholars and theologians were trying to defend the orthodox account of how global population had increased since the Creation and must continue to do so, and the first political arithmeticians were trying to measure and analyse demographic change. This article seeks to throw fresh light on this many-sided discourse by examining William Petty's attempt to write an account of the multiplication of mankind, and the reasons why he failed to complete it. It focuses particularly on Petty's part in developing methods of measuring population density which highlighted the potential for future growth, and on the equally important demonstration by John Graunt that high and rising mortality in cities was hindering population growth in reality. As Petty's cousin Robert Southwell pointed out, Graunt's ‘rule of mortality’ was wholly incompatible with any coherent account of the future multiplication of mankind. At the end of this particular discourse, newly discovered facts about demography triumphed over the presuppositions of divinity.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This article gives fuller consideration to a theme introduced in my ‘Plenty of people’: perceptions of population in early modern England (Stenton Lecture 2010, University of Reading, 2011), and I am grateful for comments from two anonymous referees which helped me to refine its development here. All pre-1800 works were published in London unless otherwise stated.

References

1 See for example McCormick, Ted, ‘Political arithmetic and sacred history: population thought in the English Enlightenment, 1660–1750’, Journal of British Studies, 52 (2013), pp. 829–57Google Scholar.

2 For another example, also involving Graunt, see Pelling, Margaret, ‘Far too many women? John Graunt, the sex ratio, and the cultural determination of number in seventeenth-century England’, Historical Journal, 59 (2016), pp. 695719Google Scholar.

3 Lansdowne, Marquess of, ed., The Petty–Southwell correspondence, 1676–1687 (London, 1928) (hereafter Correspondence), pp. 92–3Google Scholar. For Graunt's calculation, see his Natural and political observations, in Hull, C. H., ed., The economic writings of Sir William Petty, together with the Observations upon the bills of mortality (2 vols., Cambridge, 1899)Google Scholar (hereafter Economic writings), ii, pp. 387–8.

4 Economic writings, ii, pp. 456, 470, 477–8.

5 Ibid., ii, pp. 450–3; Reungoat, Sabine, William Petty: observateur des Îles Britannique (Paris, 2004), pp. 251–2Google Scholar.

6 Le journal des sçavans, 15 Mar. 1683, pp. 64–5. On the dispute about the populations of Paris and London, see Dupâquier, Jacques, ‘Londres où Paris? Un grand débat dans le petit monde des arithméticiens politiques (1662–1759)’, Population, 53 (1998), pp. 311–25Google Scholar.

7 Correspondence, pp. 147, 153, 155, 166, 176. In Petty's lists of his essays, written in 1685 and 1686, he refers first to ‘Growth of the people and multiplication of mankind’, and then to ‘Upon the multiplication of mankind’ with a separate entry for An essay upon the growth of London’: Lansdowne, marquess of, ed., The Petty papers (2 vols., London 1927) (hereafter PP), ii, pp. 263, 266Google Scholar.

8 Correspondence, pp. 153–5, 166.

9 For Petty's views on the end of the world, see Correspondence, p. 154; Economic writings, ii, p. 464; Lewis, Rhodri, William Petty on the order of nature: an unpublished manuscript treatise (Tempe, AR, 2012), p. 134Google Scholar; and for contemporary argument on the topic, Buchwald, Jed Z. and Feingold, Mordechai, Newton and the origin of civilization (Princeton, NJ, 2013), pp. 134–5, 174–8Google Scholar.

10 Correspondence, pp. 145, 167.

11 Harris, Frances, ‘Introduction’, The Petty papers (British Library, Catalogue of Additions to the Manuscripts, 2000), pp. xviiixixGoogle Scholar.

12 Correspondence, p. 176.

13 Economic writings, ii, pp. 454–5, 642. The contents listed here included some of the topics discussed in a paper of 1686: PP, i, pp. 193–8.

14 Correspondence, pp. 283–4; PP, ii, pp. 55–7; British Library, Additional MS 72866, fos. 53r, 138–43.

15 Economic writings, ii, p. 649; Reungoat, Petty, p. 323.

16 Below, at nn. 63, 100, 104.

17 William Petty, The advice of W.P. to Mr. Samuel Hartlib (1647), p. 23; McCormick, Ted, ‘Population: modes of demographic thought’, in Stern, Philip J. and Wennerlind, Carl, eds., Mercantilism reimagined: political economy in early modern Britain and its empire (Oxford, 2014), p. 33Google Scholar; Slack, Paul, From reformation to improvement (Oxford, 1999), pp. 80–1Google Scholar.

18 Temple, William, Observations upon the United Provinces of the Netherlands, ed. Sir Clark, George (Oxford, 1972), pp. 109–10Google Scholar. For an excellent account of Ireland's influence on Petty's thinking, see Fox, Adam, ‘Sir William Petty, Ireland, and the making of a political economist, 1653–1687’, Economic History Review, 62 (2009), pp. 388404Google Scholar.

19 Economic writings, i, pp. 46, 223.

20 Ibid., i, pp. 108–10, 284.

21 McCormick, Ted, William Petty and the ambitions of political arithmetic (Oxford, 2009), pp. 224–5Google Scholar. Southwell may have heard of Petty's interest in ‘multiplication’ at this time: Lewis, Petty, pp. ix–x, 68–9.

22 Genesis 1.28, 9.1; Biller, Peter, The measure of multitude: population in medieval thought (Oxford, 2000), p. 113Google Scholar. For later comment, see, for example, William Perkins, A cloud of faithfull witnesses (1607), pp. 131–2; Hakewill, George, An apologie of the power and providence of God in the government of the world (Oxford, 1627), pp. 35–6Google Scholar.

23 Biller, Measure of multitude, pp. 244–6; McCormick, ‘Political arithmetic’, p. 840; Marie-Elizabeth Ducreux, ‘Les premiers essais d’évaluation de la population mondiale et l'idée de la dépopulation au XVIIe siècle’, Annales de Démographie Historique (1977), pp. 421–38, at p. 428; Riccioli, Giovanni Battista, Geographiae et Hydrographiae Reformatae Libri XII (Bologna, 1661), Appendix, pp. 630–4Google Scholar.

24 The best account of the controversy is McCormick, ‘Political arithmetic’, passim. See also Poole, William, The world makers: scientists of the Restoration and the search for the origins of the earth (Oxford, 2010), pp. 2744Google Scholar.

25 Economic writings, ii, pp. 329, 374, 388; Pelling, ‘Far too many women?’, passim. On the mathematics of the ‘doubling’ methodology, see Rohrbasser, Jean-Marc, ‘William Petty (1623–1687) et le calcul du doublement de la population’, Population, 54 (4–5) (1999), pp. 693706Google Scholar.

26 Edward Stillingfleet, Origines sacrae, or a rational account of the grounds of Christian faith (1662), p. 556.

27 Matthew Hale, The primitive origination of mankind, considered and examined according to the light of nature (1677), pp. 205–7, 237; Poole, William, ‘Sir Robert Southwell's dialogue on Thomas Burnet's theory of the earth’, Seventeenth Century, 23 (2008), pp. 72104Google Scholar.

28 McCormick, ‘Political arithmetic’, p. 846; Richard Bentley, The folly and unreasonableness of atheism (1693), ‘Structure of human bodies’, p. 21.

29 Hale, Primitive origination, pp. 212, 219; Buchwald and Feingold, Newton, pp. 179–80.

30 McCormick, ‘Political arithmetic’, p. 841.

31 Aristotles politiques, trans. John Dickenson (1598), p. 356.

32 Biller, Measure of multitude, pp. 128–32, 243, 358–61.

33 For example, Harrison, William, The description of England, ed. Edelen, Georges (Ithaca, NY, 1968), p. 182Google Scholar; Vickers, Brian, ed., Francis Bacon: a critical edition of the major works (Oxford, 1996), p. 368Google Scholar.

34 Botero, Giovanni, Della ragione di stato (Rome, 1590), pp. 226–41Google Scholar; Giovanni Botero, A treatise concerning the causes of the magnificencie and greatness of cities, trans. Robert Peterson (1606), pp. 91–4.

35 Gerard Malynes, Consuetudo vel lex mercatoria (1622), p. 235.

36 Hakluyt, Richard, Discourse of western planting, ed. Quinn, David B. and Quinn, Alison M. (Hakluyt Society, Extra Series, no. 45, 1993), pp. 28, 32Google Scholar; Patrick Copland, Virginia's God be thanked (1622), p. 30; Swingen, Abigail L., Competing visions of empire: labor, slavery and the origins of the British Atlantic empire (New Haven, CT, 2015), p. 54CrossRefGoogle Scholar.

37 Armitage, David, The ideological origins of the British empire (Cambridge, 2000), pp. 7481Google Scholar. On the colonial theme in English political argument, see also Cronin, Nessa, ‘Writing the “new geography”: cartographic discourse and colonial governmentality in William Petty's The political anatomy of Ireland (1672)’, Historical Geography, 42 (2014), pp. 5871Google Scholar.

38 Thirsk, J. and Cooper, J. P., eds., Seventeenth-century economic documents (Oxford, 1972), pp. 68, 77, 80, 85Google Scholar; Slack, ‘Plenty of people’, p. 9.

39 Wrigley, E. A. and Schofield, R. S., The population history of England, 1541–1871: a reconstruction (2nd edn, Cambridge, 1989), pp. 220–1, 224Google Scholar; Wrigley, E. A., Davies, R. S., Oeppen, J. E., and Schofield, R. S., eds., English population history from family reconstitution, 1580–1837 (Cambridge, 1997), p. 195CrossRefGoogle Scholar.

40 Hinde, Andrew, England's population: a history since the Domesday survey (London, 2005), pp. 180–1Google Scholar; Hoppit, Julian, Britain's political economies: parliament and economic life, 1660–1800 (Cambridge, 2017), pp. 89Google Scholar; Slack, Paul, The invention of improvement: information and material progress in seventeenth-century England (Oxford 2015), pp. 1214, 154–61Google Scholar.

41 Joseph Massie, A plan for the establishment of charity-houses (1758), pp. 91–3.

42 On Graunt's methodology, see Kreager, Philip, ‘New light on Graunt’, Population Studies, 42 (1988), pp. 129–40Google Scholar; Endres, A. M., ‘The functions of numerical data in the writings of Graunt, Petty and Davenant’, History of Political Economy, 17 (1985), pp. 245–64Google Scholar.

43 Economic writings, ii, pp. 369–72, 460; King, Gregory, ‘Natural and political observations and conclusions upon the state and condition of England, 1696’, in Laslett, Peter, ed., The earliest classics (Farnborough, 1973), p. 36Google Scholar; Charles Davenant, The political and commercial works, ed. Sir Charles Whitworth (5 vols., 1771), i, pp. 19, 62, 197, ii, p. 221.

44 See the arguments in Glass, David V., Numbering the people: the eighteenth-century population controversy (Farnborough, 1973), pp. 1189Google Scholar.

45 Economic writings, ii, pp. 371–2. The actual acreage (37.3 million) was measured with approximate accuracy by Edmond Halley only in 1685. Graunt appears to have deduced acreage (accurately enough) from an area of 39,000 square miles which was much too low. He seems not to have known about Thomas Harriot's unpublished attempt at a similar calculation much earlier: Sokol, Barnett J., ‘Thomas Harriot – Sir Walter Ralegh's tutor – on population’, Annals of Science, 31 (1974), pp. 208–10Google Scholar.

46 Smyth, William J., Map-making, landscapes and memory: a geography of colonial and early modern Ireland, c. 1530–1750 (Cork, 2006), pp. 55, 83, 172Google Scholar.

47 Economic writings, ii, pp. 353–4.

48 Ibid., i, p. 21; PP, i, p. 208, ‘Observations of England’ (which used population and acreage figures close to Graunt's). There has been much speculation about Petty's influence on Graunt's Observations, e.g. Glass, D. V., ‘John Graunt and his natural and political observations’, Notes and Records of the Royal Society, 19 (1964), pp. 7889Google Scholar; Reungoat, Petty, pp. 33–42. The calculation of density per acre is a case where they must have talked about the methodology, while disagreeing about their conclusions; and it supports the view that Graunt indubitably had a mind of his own. See Pelling, ‘Far too many women?’, passim.

49 Economic writings, i, p. 217. In 1675, Southwell reported similar figures to the Royal Society: Thomas Birch, The history of the Royal Society of London (4 vols., 1756–7), iii, pp. 196–7.

50 Mary M. and Dunn, Richard S., eds., The papers of William Penn (5 vols., Philadelphia, PA, 1981–7), ii, pp. 279–80Google Scholar.

51 Fox, ‘Petty’, p. 393.

52 King, ‘Natural and political observations’, pp. 36–8, 41–2; Davenant, Works, ii, pp. 221–2.

53 Riley, James C., Population thought in the age of the demographic revolution (Durham NC, 1985), pp. 4751Google Scholar.

54 On the epistemological claims of political arithmetic, see Poovey, Mary, A history of the modern fact (Chicago, IL, 1998), pp. 120–43Google Scholar, and on Davenant in particular, Deringer, William P., ‘Finding the money: public accounting, political arithmetic, and probability in the 1690s’, Journal of British Studies, 52 (2013), pp. 638–68Google Scholar.

55 Slack, Paul, ‘Measuring the national wealth in seventeenth-century England’, Economic History Review, 57 (2004), pp. 607–35, at pp. 630–2Google Scholar.

56 Fox, ‘Petty’, p. 397. The Irish population had reached 5 million by 1801 and about 7 million by 1821: Floud, Roderick and McCloskey, Deirdre, The economic history of Britain since 1700 (2nd edn, Cambridge, 1994), p. 93Google Scholar.

57 Economic writings, ii, p. 464. In 1801, it was 8.7 million.

58 John Houghton, A collection for the improvement of husbandry and trade, ed. Richard Bradley (4 vols., 1727–8), iv, pp. 10–17; Tanner, J. R., ed., Private correspondence and miscellaneous papers of Samuel Pepys, 1679–1703 (2 vols., London, 1926), ii, pp. 263–5Google Scholar.

59 Peter Pett, The happy future state of England (1688), p. 100.

60 Davenant, Works, ii, pp. 221–2.

61 Rusnock, Andrea A., Vital accounts: quantifying health and population in eighteenth-century England and France (Cambridge, 2002), pp. 188–90Google Scholar; Sébastien Le Prestre de Vauban, A project for a royal tythe, or general tax (1708), pp. 128, 132–3, 142.

62 Meusnier, Norbert, ‘Vauban: arithmétique politique, ragot et autre cochonnerie’, in Martin, Thierry, Arithmétique politique dans la France du XVIIIe siècle (Paris, 2003), pp. 92, 124–5Google Scholar; Reungoat, Petty, p. 273. Vauban, Project, pp. 130–1, 165, lists questions similar to Petty's. For earlier discussion of censuses in France, see Bodin, Jean, Six books of the commonwealth, trans. Tooley, M. J. (Oxford, 1955), pp. 221–2Google Scholar; Nicolas Barnaud, Le miroir des françois (n.p., 1581), pp. 460–4.

63 Süssmilch, Johann Peter, Die göttliche ordnung in den veränderungen des menschlichen geschlechts (lst edn, Berlin, 1741), pp. 1316, (2nd edn, Berlin, 1761–2), i, pp. 274–310, 411, ii, pp. 232–5Google Scholar.

64 Ibid., ii, pp. 177–85.

65 Nipperdey, Julius, ‘Johann Peter Süssmilch: from divine law to human intervention’, Population (English edn), 66 (2011), pp. 611–36Google Scholar; Süssmilch, Göttliche ordnung (1761–2 edn), i, pp. 396, 407–8.

66 In contrast to doubts about the efficacy of commercial regulation from the 1620s onwards: Poovey, Modern fact, pp. 66–91.

67 An exception was occasional opposition to quarantine precautions on the grounds that plague epidemics were works of providence: Slack, Paul, The impact of plague in Tudor and Stuart England (London, 1985), pp. 232–9Google Scholar.

68 Slack, ‘Plenty of people’, p. 5; Chantrel, L., ‘Dépopulation et réforme de la fiscalité en France aux XVI–XVIIe siècles’, Population (French edn), 49 (1994), pp. 457–80Google Scholar.

69 William Temple, ‘An essay on popular discontents’, in William Temple, Miscellanea: the third part (1701), pp. 72, 76–7.

70 Brooks, Colin, ‘Projecting, political arithmetic and the act of 1695’, English Historical Review, 97 (1982), pp. 3153Google Scholar.

71 The womens complaint against tobacco (1675), title page, p. 4.

72 McCormick, William Petty, pp. 239–40.

73 PP, ii, pp. 50–1, 54–5. There are similar notions in ‘Of doubling the people’ (1687): ibid., ii, pp. 55–7.

74 Correspondence, p. 145.

75 PP, i, p. 267.

76 Wells, Robert V., The population of the British colonies in America before 1776 (Princeton, NJ, 1975), pp. 713Google Scholar; Andrews, Charles M., British committees, commissions, and councils of trade and plantations, 1622–1675 (Baltimore, MD, 1908), pp. 69, 118, 129–30Google Scholar.

77 British Library, Additional MS 32523, fo. 54v; Statt, Daniel, Foreigners and Englishmen: the controversy over immigration and population, 1660–1760 (Newark, DE, 1995), pp. 34–7, 121–65Google Scholar; Dickinson, H. T., ‘The poor Palatines and the parties’, English Historical Review, 82 (1967), pp. 464–85Google Scholar.

78 [Daniel Defoe], A brief history of the poor Palatine refugees (1709), pp. 3, 15; Defoe, The Review, v (1708/9), pp. 513–15, vi (1709), pp. 149–71.

79 Economic writings, ii, pp. 334, 397.

80 Ibid., ii, pp. 393–4.

81 de Vries, Jan, European urbanization, 1500–1800 (London, 1984), p. 179Google Scholar. For a stimulating analysis of Graunt's contribution, to which I am greatly indebted, see Richard Smith, ‘John Graunt, the law of decline and the origins of urban historical demography’, Gresham College Lecture, 29 Nov. 2012 (transcript available at www.gresham.ac.uk, accessed 7 Mar. 2017).

82 Pelling, Margaret, ‘John Graunt, the Hartlib circle and child mortality in mid-seventeenth-century London’, Continuity and Change, 33 (2016), pp. 335–59, at p. 341Google Scholar; Newton, Gill and Smith, Richard, ‘Convergence or divergence? Mortality in London, its suburbs and its hinterland between 1550 and 1700’, Annales de démographie historique, 126 (2013), pp. 1749Google Scholar; Cummins, Neil, Kelly, Morgan, and Grada, Cormac Ó, ‘Living standards and plague in London, 1560–1665’, Economic History Review, 69 (2016), pp. 334, at pp. 25, 32Google Scholar.

83 Economic writings, ii, pp. 320, 366, 404–5.

84 Ibid., i, p. 109 (the document in the footnote here should be dated 1687 not 1667); Slack, Invention of improvement, p. 117; PP, i, pp. 26, 38–40.

85 Economic writings, ii, pp. 471, 475.

86 Correspondence, p. 146.

87 Economic writings, ii, pp. 459–65, 475–6.

88 Ibid., ii, pp. 469–76.

89 Wrigley, E. A., Energy and the English industrial revolution (Cambridge, 2010), pp. 197–8Google Scholar; Davenant, Works, ii, pp. 221–2.

90 See, for example, Hume, David, ‘Of the populousness of antient nations’, in Essays and treatises on several subjects, iv (2nd edn, 1753), pp. 216–17Google Scholar.

91 Economic writings, ii, pp. 455, 474–5; Correspondence, pp. 154, 161–2.

92 Wrigley, E. A., ‘The transition to an advanced organic economy: half a millennium of English agriculture’, Economic History Review, 59 (2006), pp. 435–80Google Scholar.

93 Broadberry, Stephen, Campbell, Bruce M. S., Klein, Alexander, Overton, Mark, and van Leeuwen, Bas, British economic growth, 1270–1870 (Cambridge, 2015), pp. 406–10, 415, 426Google Scholar.

94 Slack, ‘Plenty of people’, p. 11; John Cary, An account of the proceedings of the corporation of Bristol (1700), pp. 12–16.

95 John Evelyn, Navigation and commerce, their original and progress (1674), pp. 15–16.

96 Muldrew, Craig, Food, energy and the creation of industriousness (Cambridge, 2011), pp. 301–5Google Scholar.

97 Fox, ‘Petty’, pp. 397–8; Lloyd, Sarah, Charity and poverty in England, c. 1680–1820 (Manchester, 2009), p. 111Google Scholar.

98 McCormick, ‘Political arithmetic’, pp. 848–9.

99 Lloyd, Charity and poverty, pp. 79–93; Laurence Braddon, The miseries of the poor (1717), title page, p. iv.

100 E.g. Thomas Short, A comparative history of the increase and decrease of mankind in England, and several countries abroad (1767), p. 20; Journal oeconomique (Paris, 1756), p. 189Google Scholar; Denis Diderot and Jean d'Alembert, eds., Encyclopédie (17 vols., Paris, 1751–5), i, p. 678, referring to Petty's essay on ‘la multiplication du genre humain’.

101 The only exception was Louis-Joseph Plumard de Dangeul, Remarks on the advantages and disadvantages of France and of Great-Britain with respect to commerce (1754), p. 191–2.

102 Ferguson, Adam, An essay on the history of civil society (Edinburgh, 1767), pp. 214, 218, 357–8Google Scholar.

103 Steuart, James, An inquiry into the principles of political oeconomy (2 vols, 1767), ii, pp. 72–5Google Scholar.

104 Malthus, Thomas Robert, An essay on the principle of population (2nd edn, London, 1803), pp. 5, 345–6, 597Google Scholar.

105 Correspondence, pp. 144–5; Exodus, i.7.

106 Correspondence, pp. 144, 148, 150.

107 Economic writings, i, p. 245.

108 Hale, Primitive origination, pp. 212, 219; William Nicholls, A conference with a theist (1698), Part i, p. 69.

109 Economic writings, ii, p. 456; Correspondence, pp. 161–2.

110 British Library, Additional MS 72866, ‘Analysis populi’, fo. 53v, ‘Worke for the next parliament’, fo. 112; PP, i, pp. 37–40, 194.

111 Hinde, England's population, pp. 184–9; de Vries, Jan, ‘The economic crisis of the seventeenth century after fifty years’, Journal of Interdisciplinary History, 40 (2009), pp. 151–94, at pp. 160–1Google Scholar. It is ironic that the rule of mortality as Graunt defined it ceased to operate in England in the 1780s and 1790s, just before the date Petty predicted that London's growth must end: Wrigley, E. A., The path to sustained growth: England's transition from an organic economy to an industrial revolution (Cambridge, 2016), p. 93Google Scholar.

112 The fact that no manuscript copies of a ‘Multiplication’ essay have yet been discovered, in contrast to those of Petty's ‘Scale of creation’ (Lewis, Petty, pp. 83–4), suggests that the ‘essay’ circulating among his friends in the 1680s may have been little more than a list of scarcely connected propositions.

113 Above, at n. 13.

114 Economic writings, ii, p. 398.

115 The classic account is Wrigley, E. A., ‘A simple model of London's importance in changing English society and economy, 1650–1750’, Past and Present, 37 (1967), pp. 4470Google Scholar.

116 Correspondence, p. 175.