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Chapter I: DO presume, in a very small paper, to show your Majesty that your City (1)

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of London seems more considerable than the two best cities of the French monarchy, and for aught I can find, greater than any other of the universe, which because I can say without flattery, and by such demonstration as your Majesty can examine, I humbly pray your Majesty to accept from

Your Majesty’s

Most humble, loyal, and obedient subject,
WILLIAM PETTY.

AN ESSAY IN POLITICAL ARITHMETIC

_Tending to prove that London hath more people and housing than the cities of Paris and Rouen put together_, _and is also more considerable in several other respects_.

1. THE medium of the burials at London in the three last years—viz., 1683, 1684, and 1685, wherein there was no extraordinary sickness, and wherein the christenings do correspond in their ordinary proportions with the burials and christenings of each year one with another, was 22,337, and the like medium of burials for the three last Paris bills we could procure—viz., for the years 1682, 1683, and 1684 (whereof the last as appears by the christenings to have been very sickly), is 19,887.

2. The city of Bristol in England appears to be by good estimate of its trade and customs as great as Rouen in France, and the city of Dublin in Ireland appears to have more chimneys than Bristol, and consequently more people, and the burials in Dublin were, A.D. 1682 (being a sickly year) but 2,263.

3. Now the burials of Paris (being 19,887) being added to the burials of Dublin (supposed more than at Rouen) being 2,263, makes but 22,150, whereas the burials of London were 187 more, or 22,337, or as about 6 to 7.

4. If those who die unnecessarily, and by miscarriage in L’Hôtel Dieu in Paris (being above 3,000), as hath been elsewhere shown, or any part thereof, should be subtracted out of the Paris burials aforementioned, then our assertion will be stronger, and more proportionable to what follows concerning the housing of those cities, viz.:

5. There were burnt at London, A.D. 1666, above 13,000 houses, which being but a fifth part of the whole, the whole number of houses in the said year were above 65,000; and whereas the ordinary burials of London have increased between the years 1666 and 1686, above one-third the total of the houses at London, A.D. 1686, must be about 87,000, which A.D. 1682, appeared by account to have been 84,000.

6. Monsieur Moreri, the great French author of the late geographical dictionaries, who makes Paris the greatest city in the world, doth reckon but 50,000 houses in the same, and other authors and knowing men much less; nor are there full 7,000 houses in the city of Dublin, so as if the 50,000 houses of Paris, and the 7,000 houses in the city of Dublin were added together, the total is but 57,000 houses, whereas those of London are 87,000 as aforesaid, or as 6 to 9.

7. As for the shipping and foreign commerce of London, the common sense of all men doth judge it to be far greater than that of Paris and Rouen put together.

8. As to the wealth and gain accruing to the inhabitants of London and Paris by law-suits (or _La chicane_) I only say that the courts of London extend to all England and Wales, and affect seven millions of people, whereas those of Paris do not extend near so far. Moreover, there is no palpable conspicuous argument at Paris for the number and wealth of lawyers like the buildings and chambers in the two Temples, Lincoln’s Inn, Gray’s Inn, Doctors’ Commons, and the seven other inns in which are chimneys, which are to be seen at London, besides many lodgings, halls, and offices, relating to the same.

9. As to the plentiful and easy living of the people we say,

(a.) That the people of Paris to those of London, being as about 6 to 7, and the housing of the same as about 6 to 9, we infer that the people do not live at London so close and crowded as at Paris, but can afford themselves more room and liberty.

(b.) That at London the hospitals are better and more desirable than those of Paris, for that in the best at Paris there die two out of fifteen, whereas at London there die out of the worst scarce 2 out of 16, and yet but a fiftieth part of the whole die out of the hospitals at London, and two-fifths, or twenty times that proportion die out of the Paris hospitals which are of the same kind; that is to say, the number of those at London, who choose to lie sick in hospitals rather than in their own houses, are to the like people of Paris as one to twenty; which shows the greater poverty or want of means in the people of Paris than those of London.

(c.) We infer from the premises, viz., the dying scarce two of sixteen out of the London hospitals, and about two of fifteen in the best of Paris, to say nothing of L’Hôtel Dieu, that either the physicians and chirurgeons of London are better than those of Paris, or that the air of London is more wholesome.

10. As for the other great cities of the world, if Paris were the greatest we need say no more in behalf of London. As for Pekin in China, we have no account fit to reason upon; nor is there anything in the description of the two late voyages of the Chinese emperor from that city into East and West Tartary, in the years 1682 and 1683, which can make us recant what we have said concerning London. As for Delhi and Agra, belonging to the Mogul, we find nothing against our position, but much to show the vast numbers which attend that emperor in his business and pleasures.

11. We shall conclude with Constantinople and Grand Cairo; as for Constantinople it hath been said by one who endeavoured to show the greatness of that city, and the greatness of the plague which raged in it, that there died 1,500 per diem, without other circumstances; to which we answer, that in the year 1665 there died in London 1,200 per diem, and it hath been well proved that the Plague of London never carried away above one-fifth of the people, whereas it is commonly believed that in Constantinople, and other eastern cities, and even in Italy and Spain, that the plague takes away two-fifths, one half, or more; wherefore where 1,200 is but one-fifth of the people it is probable that the number was greater, than where 1,500 was two-fifths or one half, &c.

12. As for Grand Cairo it is reported, that 73,000 died in ten weeks, or 1,000 per diem, where note, that at Grand Cairo the plague comes and goes away suddenly, and that the plague takes away two or three-fifths parts of the people as aforesaid; so as 73,000 was probably the number of those that died of the plague in one whole year at Grand Cairo, whereas at London, A.D. 1665, 97,000 were brought to account to have died in that year. Wherefore it is certain, that that city wherein 97,000 was but one-fifth of the people, the number was greater than where 73,000 was two-fifths or the half.

We therefore conclude, that London hath more people, housing, shipping, and wealth, than Paris and Rouen put together; and for aught yet appears, is more considerable than any other city in the universe, which was propounded to be proved.

AN ESSAY IN POLITICAL ARITHMETIC,

_Tending to prove that in the hospital called L’Hôtel Dieu at Paris_, _there die above 3,000 per annum by reason of ill accommodation_.

1. IT appears that A.D. 1678 there entered into the Hospital of La Charité 2,647 souls, of which there died there within the said year 338, which is above an eighth part of the said 2,647; and that in the same year there entered into L’Hôtel Dieu 21,491, and that there died out of that number 5,630, which is above one quarter, so as about half the said 5,630, being 2,815, seem to have died for want of as good usage and accommodation as might have been had at La Charité.

2. Moreover, in the year 1679 there entered into La Charité 3,118, of which there died 452, which is above a seventh part, and in the same year there entered into L’Hôtel Dieu 28,635, of which there died 8,397; and in both the said years 1678 and 1679 (being very different in their degrees of mortality) there entered into L’Hôtel Dieu 28,635 and 2l,491—in all 50,126, the medium whereof is 25,063; and there died out of the same in the said two years, 5,630 and 8,397—in all 14,027, the medium whereof is 7,013.

3. There entered in the said years into La Charité 2,647 and 3,118, in all 5,765, the medium whereof is 2,882, whereof there died 338 and 452, in all 790, the medium whereof is 395.

4. Now, if there died out of L’Hôtel Dieu 7,013 per annum, and that the proportion of those that died out of L’Hôtel Dieu is double to those that died out of La Charité (as by the above numbers it appears to be near thereabouts), then it follows that half the said numbers of 7,013, being 3,506, did not die by natural necessity, but by the evil administration of that hospital.

5. This conclusion seemed at the first sight very strange, and rather to be some mistake or chance than a solid and real truth; but considering the same matter as it appeared at London, we were more reconciled to the belief of it, viz.:—

(_a_.) In the Hospital of St. Bartholomew in London, there was sent out and cured in the year 1685, 1,764 persons, and there died out of the said hospital 252. Moreover, there were sent out and cured out of St. Thomas’s Hospital 1,523, and buried, 209—that is to say, there were cured in both hospitals 3,287, and buried out of both hospitals 461, and consequently cured and buried 3,748, of which number the 461 buried is less than an eighth part; whereas at La Charité the part that died was more than an eighth part; which shows that out of the most poor and wretched hospitals of London there died fewer in proportion than out of the best in Paris.

(_b_.) Furthermore, it hath been above shown that there died out of La Charité at a medium 395 per annum, and 141 out of Les Incurables, making in all 536; and that out of St. Bartholomew’s and St. Thomas’s Hospitals, London, there died at a medium but 461, of which Les Incurables are part; which shows that although there be more people in London than in Paris, yet there went at London not so many people to hospitals as there did at Paris, although the poorest hospitals at London were better than the best at Paris; which shows that the poorest people at London have better accommodation in their own houses than the best hospital of Paris affordeth.

6. Having proved that there die about 3,506 persons at Paris unnecessarily, to the damage of France, we come next to compute the value of the said damage, and of the remedy thereof, as follows, viz., the value of the said 3,506 at 60 livres sterling per head, being about the value of Argier slaves (which is less than the intrinsic value of people at Paris), the whole loss of the subjects of France in that hospital seems to be 60 times 3,506 livres sterling per annum, viz., 210,360 livres sterling, equivalent to about 2,524,320 French livres.

7. It hath appeared that there came into L’Hôtel Dieu at a medium 25,063 per annum, or 2,089 _per mensem_, and that the whole stock of what remained in the precedent months is at a medium about 2,108 (as may appear by the third line of the Table No. 5, which shall be shortly published), viz., the medium of months is 2,410 for the sickly year 1679, whereunto 1,806 being added as the medium of months for the year 1678, makes 4,216, the medium whereof is the 2,108 above mentioned; which number being added to the 2,089 which entered each month, makes 4,197 for the number of sick which are supposed to be always in L’Hôtel Dieu one time with another.

8. Now, if 60 French livres per annum for each of the said 4,197 sick persons were added to the present ordinary expense of that hospital (amounting to an addition of 251,820 livres), it seems that so many lives might be saved as are worth above ten times that sum, and this by doing a manifest deed of charity to mankind.

_Memorandum_.—That A.D. 1685, the burials of London were 23,222, and those of Amsterdam 6,245; from whence, and the difference of air, it is probable that the people of London are quadruple to those of Amsterdam.

OBSERVATIONS UPON THE CITIES OF LONDON AND ROME.

1. THAT before the year 1630 the christenings at London exceeded the burials of the same, but about the year 1655 they were scarce half; and now about two-thirds.

2. Before the restoration of monarchy in England, A.D. 1660, the people of Paris were more than those of London and Dublin put together, whereas now, the people of London are more than those of Paris and Rome, or of Paris and Rouen.

3. A.D. 1665 one fifth part of the then people of London, or 97,000, died of the plague, and in the next year, 1666, 13,000 houses, or one fifth part of all the housing of London, were burnt also.

4. At the birth of Christ old Rome was the greatest city of the world, and London the greatest at the coronation of King James II., and near six times as great as the present Rome, wherein are 119,000 souls besides Jews.

5. In the years of King Charles II.’s death, and King James II.’s coronation (which were neither of them remarkable for extraordinary sickliness or healthfulness) the burials did wonderfully agree, viz., A.D. 1684, they were 23,202, and A.D. 1685, they were 23,222, the medium whereof is 23,212. And the christenings did very wonderfully agree also, having been A.D. 1684, 14,702, and A.D. 1685, 14,732, the medium whereof is 14,716, which consistence was never seen before, the said number of 23,212 burials making the people of London to be 696,360, at the rate of one dying per annum out of 30.

6. Since the great Fire of London, A.D. 1666, about 7 parts of 15 of the present vast city hath been new built, and is with its people increased near one half, and become equal to Paris and Rome put together, the one being the seat of the great French Monarchy, and the other of the Papacy.

FIVE ESSAYS IN POLITICAL ARITHMETIC.

I. Objections from the city of Ray in Persia, and from Monsier Auzout, against two former essays, answered, and that London hath as many people as Paris, Rome, and Rouen put together.

II. A comparison between London and Paris in 14 particulars.

III. Proofs that at London, within its 134 parishes named in the bills of mortality, there live about 696,000 people.

IV. An estimate of the people in London, Paris, Amsterdam, Venice, Rome, Dublin, Bristol, and Rouen, with several observations upon the same.

V. Concerning Holland and the rest of the Seven United Provinces.

TO THE KING’S MOST EXCELLENT MAJESTY

SIR,

YOUR MAJESTY having graciously accepted my two late essays, about the cities and hospitals of London and Paris, as also my observations on Rome and Rouen; I do (after six months’ waiting for what may be said against my several doctrines by the able men of Europe) humbly present your Majesty with a few other papers upon the same subject, to strengthen, explain, and enlarge the former; hoping by such real arguments, better to praise and magnify your Majesty, than by any other the most specious words and eulogies that can be imagined by

Your Majesty’s

Most humble, loyal
And obedient subject,
WILLIAM PETTY.

THE FIRST ESSAY.

IT could not be expected that an assertion of London’s being bigger than Paris and Rouen, or than Paris and Rome put together, and bigger than any city of the world, should escape uncontradicted; and ’tis also expected that I (if continuing in the same persuasion), should make some reply to those contradictions. In order whereunto,

I begin with the ingenious author of the “_République des Lettres_,” who saith that Rey in Persia is far bigger than London, for that in the sixth century of Christianity (I suppose, A.D. 550 the middle of that century), it had 15,000, or rather 44,000 mosques or Mahometan temples; to which I reply, that I hope this objector is but in jest, for that Mahomet was not born till about the year 570, and had no mosques till about 50 years after.

In the next place I reply to the excellent Monsieur Auzout’s “Letters from Rome,” who is content that London, Westminster, and Southwark may have as many people as Paris and its suburbs; and but faintly denieth, that all the housing within the bills may have almost as many people as Paris and Rouen, but saith that several parishes inserted into these bills are distant from, and not contiguous with London, and that Grant so understood it.

To which (as his main if not his only objection) we answer:—(l) That the London bills appear in Grant’s book to have been always, since the year 1636; as they now are; (2) That about fifty years since, three or four parishes, formerly somewhat distant, were joined by interposed buildings to the bulk of the city, and therefore then inserted into the bills; (3) That since fifty years the whole buildings being more than double have perfected that union, so as there is no house within the said bills from which one may not call to some other house; (4) All this is confirmed by authority of the king and city, and the custom of fifty years; (5) That there are but three parishes under any colour of this exception which are scarce one-fifty-second part of the whole.

Upon the whole matter, upon sight of Monsieur Auzout’s large letter, dated the 19th of November, from Rome, I made remarks upon every paragraph thereof, but suppressing it (because it looked like a war against a worthy person with whom I intended none, whereas, in truth, it was but a reconciling explication of some doubts) I have chosen the shorter and softer way of answering Monsieur Auzout as followeth, viz.:—

Concerning the number of people in London, as also in Paris, Rouen, and Rome, viz.:—

Monsieur Auzout allegeth an authentic account that there are 23,223 houses in Paris, wherein do live about eighty thousand families, and therefore supposing three and a half families to live in every of the said houses, one with another, the number of families will be 81,280; and Monsier Auzout also allowing six heads to each family, the utmost number of people in Paris, according to that opinion, will be 487,680.

The medium of the Paris burials was not denied by Monsier Auzout to be 19,887, nor that there died 3,506 unnecessarily out of the L’Hôtel Dieu; wherefore deducting the said last number out of the former, the net standard for burials at Paris will be 16,381, so, as the number of people there, allowing but one to die out of thirty (which is more advantageous to Paris than Monsieur Auzout’s opinion of one to die out of twenty-five) the number of people at Paris will be 491,430 more than by Monsier Auzout’s own last-mentioned account 491,430.

And the medium of the said two Paris accounts is 488,055.

The medium of the London burials is really 23,212, which, multiplied by thirty (as hath been done for Paris), the number of the people there will be 696,360.

The number of houses at London appears by the register to be 105,315, whereunto adding one-tenth part of the same, or 10,315, as the least number of double families that can be supposed in London, the total of families will be 115,840, and allowing six heads for each family, as was done for Paris, the total of the people at London will be 695,076.

The medium of the two last London accounts is 695,718. So, as the people of Paris, according to the above 488,055. account, is Of Rouen, according to Monsieur Auzout’s utmost demands 80,000. Of Rome, according to his own report thereof in a 125,000. former letter Total 693,055.

So as there are more people at London than at Paris, Rouen, and Rome by 2,663.

Memorandum.—That the parishes of Islington, Newington, and Hackney, for which only there is any colour of non-contiguity, is not one-fifty-second part of what is contained in the bills of mortality, and consequently London, without the said three parishes, hath more people than Paris and Rouen put together, by 114,284.

Which number of 114,284 is probably more people than any other city of France contains.

THE SECOND ESSAY.

As for other comparisons of London with Paris, we farther repeat and enlarge what hath been formerly said upon those matters, as followeth, viz.:—

1. That forty per cent. die out of the hospitals at Paris where so many die unnecessarily, and scarce one-twentieth of that proportion out of the hospitals of London, which have been shown to be better than the best of Paris.

2. That at Paris 81,280 kitchens are within less than 24,000 street-doors, which makes less cleanly and convenient way of living than at London.

3. Where the number of christenings are near unto, or exceed the burials, the people are poorer, having few servants and little equipage.

4. The river Thames is more pleasant and navigable than the Seine, and its waters better and more wholesome; and the bridge of London is the most considerable of all Europe.

5. The shipping and foreign trade of London is incomparably greater than that at Paris and Rouen.

6. The lawyers’ chambers at London have 2,772 chimnies in them, and are worth £140,000 sterling, or 3,000,000 of French livres, besides the dwellings of their families elsewhere.

7. The air is more wholesome, for that at London scarce two of sixteen die out of the worst hospitals, but at Paris above two of fifteen out of the best. Moreover the burials of Paris are one-fifth part above and below the medium, but at London not above one-twelfth, so as the intemperies of the air at Paris is far greater than at London.

8. The fuel cheaper, and lies in less room, the coals being a wholesome sulphurous bitumen.

9. All the most necessary sorts of victuals, and of fish, are cheaper, and drinks of all sorts in greater variety and plenty.

10. The churches of London we leave to be judged by thinking that nothing at Paris is so great as St. Paul’s was, and is like to be, nor so beautiful as Henry the Seventh’s chapel.

11. On the other hand, it is probable, that there is more money in Paris than London, if the public revenue (grossly speaking, quadruple to that of England) be lodged there.

12. Paris hath not been for these last fifty years so much infested with the plague as London; now that at London the plague (which between the years 1591 and 1666 made five returns, viz., every fifteen years, at a medium, and at each time carried away one-fifth of the people) hath not been known for the 21 years last past, and there is a visible way by God’s ordinary blessing to lessen the same by two-thirds when it next appeareth.

13. As to the ground upon which Paris stands in respect of London, we say, that if there be five stories or floors of housing at Paris, for four at London, or in that proportion, then the 82,000 families of Paris stand upon the equivalent of 65,000 London housteds, and if there be 115,000 families at London, and but 82,000 at Paris, then the proportion of the London ground to that of Paris is as 115 to sixty-five, or as twenty-three to thirteen.

14. Moreover Paris is said to be an oval of three English miles long and two and a half broad, the area whereof contains but five and a half square miles; but London is seven miles long, and one and a quarter broad at a medium, which makes an area of near nine square miles, which proportion of five and half to nine differs little from that of thirteen to twenty-three.

15. Memorandum, that in Nero’s time, as Monsieur Chivreau reporteth, there died 300,000 people of the plague in old Rome; now if there died three of ten then and there, being a hotter country, as there dies two of ten at London, the number of people at that time, was but a million, whereas at London they are now about 700,000. Moreover the ground within the walls of old Rome was a circle but of three miles diameter, whose area is about seven square miles, and the suburbs scarce as much more, in all about thirteen square miles, whereas the built ground at London is about nine square miles as aforesaid; which two sorts of proportions agree with each other, and consequently old Rome seems but to have been half as big again as the present London, which we offer to antiquaries.

THE THIRD ESSAY.

PROOFS that the number of people in the 134 parishes of the London bills of mortality, without reference to other cities, is about 696,000, viz.—

I know but three ways of finding the same.

1. By the houses, and families, and heads living in each.

2. By the number of burials in healthful times, and by the proportion of those that live, to those that die.

3. By the number of those who die of the plague in pestilential years, in proportion to those that escape.

_The First Way_.

To know the number of houses, I used three methods, viz.—

1. The number of houses which were burnt A.D. 1666, which by authentic report was 13,200; next what proportion the people who died out of those houses, bore to the whole; which I find A.D. 1686, to be but one seventh part, but A.D. 1666 to be almost one-fifth, from whence I infer the whole housing of London A.D. 1666 to have been 66,000, then finding the burials A.D. 1666 to be to those of 1686 as 3 to 4,I pitch upon 88,000 to be the number of housing A.D. 1686.

2. Those who have been employed in making the general map of London, set forth in the year 1682, told me that in that year they had found above 84,000 houses to be in London, wherefore A.D. 1686, or in four years more, there might be one-tenth or 8,400 houses more (London doubling in forty years) so as the whole, A.D. 1686 might be 92,400.

3. I found that A.D. 1685, there were 29,325 hearths in Dublin, and 6,400 houses, and in London 388 thousand hearths, whereby there must have been at that rate 87,000 houses in London. Moreover I found that in Bristol there were in the same year 16,752 hearth; and 5,307 houses, and in London 388,000 hearths as aforesaid; at which rate there must have been 123,000 houses in London, and at a medium between Dublin and Bristol proportions 105,000 houses.

Lastly, by certificate from the hearth office, I find the houses within the bills of mortality to be 105,315.

Having thus found the houses, I proceed next to the number of families in them, and first I thought that if there were three or four families or kitchens in every house of Paris, there might be two families in one-tenth of the housing of London; unto which supposition, the common opinion of several friends doth concur with my own conjectures.

As to the number of heads in each family, I stick to Grant’s observation in page — of his fifth edition, that in tradesmen of London’s families there be eight heads one with another, in families of higher ranks, above ten, and in the poorest near live, according to which proportions, I had upon another occasion pitched the medium of heads in all the families of England to be six and one-third, but quitting the fraction in this case, I agree with Monsieur Auzout for six.

To conclude, the houses of London being 105,315 and the addition of double families 10,531 more, in all 115,846; I multiplied the same by six, which produced 695,076 for the number of the people.

_The Second Way_.

I found that the years 1684 and 1685, being next each other, and both healthful, did wonderfully agree in their burials, viz., 1684 they were 23,202, and A.D. 1685 23,222, the medium whereof is 23,212; moreover that the christenings 1684 were 14,702, and those A.D. 1685 were 14,730, wherefore I multiplied the medium of burials 23,212 by 30, supposing that one dies out of 30 at London, which made the number of people 696,360 souls.

Now to prove that one dies out of 30 at London or thereabouts, I say—

1. That Grant in the — page of his fifth edition, affirmeth from observation, that 3 died of 88 per annum which is near the same proportion.

2. I found that out of healthful places, and out of adult persons, there dies much fewer, as but one out of 50 among our parliament men, and that the kings of England having reigned 24 years one with another, probably lived above 30 years each.

3. Grant, page — hath shown that but about one of 20 die per annum out of young children under 10 years old, and Monsieur Auzout thinks that but 1 of 40 die at Rome, out of the greater proportion of adult persons there, wherefore we still stick as a medium to the number 30.

4. In nine country parishes lying in several parts of England, I find that but one of 37 hath died per annum, or 311 out of 11,507, wherefore till I see another round number, grounded upon many observations, nearer than 30, I hope to have done pretty well in multiplying our burials by 30 to find the number of the people, the product being 696,360, and what we find by the families they are 695,076, as aforesaid.

_The Third Way_.

It was proved by Grant, that one-fifth of the people died of the plague, but A.D. 1665 there died of the plague near 98,000 persons, the quintuple whereof is 490,000 as the number of people in the year 1665, whereunto adding above one-third, as the increase between 1665 and 1686, the total is 653,000, agreeing well enough with the other two computations above mentioned.

Wherefore let the proportion of 1 to 30 continue till a better be put in its place.

_Memorandum_. That two or three hundred new houses would make a contiguity of two or three other great parishes, with the 134 already mentioned in the bills of mortality: and that an oval wall of about twenty miles in compass would enclose the same, and all the shipping at Deptford and Blackwall, and would also fence in 20,000 acres of land, and lay the foundation or designation of several vast advantages to the owners, and inhabitants of that ground, as also to the whole nation and government.

THE FOURTH ESSAY.

_Concerning the proportions of People in the eight eminent Cities of Christendom undernamed_, viz.:—

1. WE have by the number of burials in healthful years, and by the proportion of the living to those who die yearly, as also by the number of houses and families within the 134 parishes called London, and the estimate of the heads in each, pitched upon the number of people in that city to be at a medium 695,718.

2. We have, by allowing that at Paris above 80,000 families, viz., 81,280, do live in 23,223 houses, 32 palaces, and 38 colleges, or that there are 81,280 kitchens within less than 24,000 street doors; as also by allowing 30 heads for every one that died necessarily there; we have pitched upon the number of people there at a medium to be 488,055, nor have we restrained them to 300,000, by allowing with Monsieur Auzout 6 heads for each of Moreri’s 50,000 houses or families.

3. To Amsterdam we allow 187,350 souls, viz., 30 times the number of their burials, which were 6,245 in the year 1685.

4. To Venice we allow 134,000 souls, as found there in a special account taken by authority, about ten years since, when the city abounded with such as returned from Candia, then surrendered to the Turks.

5. To Rome we allow 119,000 Christians, and 6,000 Jews, in all 125,000 souls, according to an account sent thither of the same by Monsieur Auzout.

6. To Dublin we allow (as to Amsterdam) 30 times its burials, the medium whereof for the last two years is 2,303, viz., 69,090 souls.

7. As to Bristol, we say that if the 6,400 houses of Dublin give 69,090 people, that the 5,307 houses of Bristol must give above 56,000 people. Moreover, if the 29,325 hearths of Dublin give 69,090 people, the 16,752 hearths of Bristol must give about 40,000; but the medium of 56,000 and 40,000 is 48,000.

8. As for Rouen, we have no help, but Monsieur Auzout’s fancy of 80,000 souls to be in that city, and the conjecture of knowing men that Rouen is between the one-seventh and one-eighth part of Paris, and also that it is by a third bigger than Bristol; by all which, we estimate, till farther light, that Rouen hath at most but 66,000 people in it.

Now it may be wondered why we mentioned Rouen at all, having had so little knowledge of it; whereunto we answer, that we did not think it just to compare London with Paris, as to shipping and foreign trade, without adding Rouen thereunto, Rouen being to Paris as that part of London which is below the bridge, is to what is above it.

All which we heartily submit to the correction of the curious and candid, in the meantime observing according to the gross numbers under-mentioned.

London 696,000 Paris 488,000 Amsterdam 187,000 Venice 134,000 Rome 125,000 Dublin 69,000 Bristol 48,000 Rouen 66,000

_Observations on the said Eight Cities_.

1. That the people of

Paris being 488,000 Rome 125,000 Rouen 66,000 do make in all but 679,000

or 17,000 less than the 696,000 of London alone.

2. That the people of the two English cities and emporiums—viz., of London, 696,000, and Bristol, 48,000—do make 744,000, or more than

In Paris 488,000 Amsterdam 187,090 Rouen 66,000 Being in all 741,000

3. That the same two English cities seem equivalent

To Paris, which hath 488,000 souls.
Rouen 66,000
Lyons 100,000
Toulouse 90,000
In all 744,000

If there be any error in these conjectures concerning these cities of France, we hope they will be mended by those whom we hear to be now at work upon that matter.

4. That the King of England’s three cities, viz.:

King’s Cities Exceed London 696,000 Paris 488,000 Dublin 69,000 Amsterdam 187,000 Bristol 48,000 Venice 134,000 In all 813,000 Being but 809,000

5. That of the four great emporiums, London, Amsterdam, Venice, and Rouen, London alone is near double to the other three, viz., above 7 to 4.

Amsterdam 187,000 Venice 134,000 Rouen 66,000 387,000 × 2 774,000 London 696,000

6. That London, for aught appears, is the greatest and most considerable city of the world, but manifestly the greatest emporium.

When these assertions have passed the examen of the critics, we shall make another essay, showing how to apply those truths to the honour and profit of the King and Kingdom of England.

THE FIFTH ESSAY.

_Concerning Holland and the rest of the United Provinces_.

SINCE the close of this paper, it hath been objected from Holland, that what hath been said of the number of houses and people in London is not like to be true; for that if it were, then London would be the two-thirds of the whole Province of Holland. To which is answered, that London is the two-thirds of all Holland, and more, that province having not 1,044,000 inhabitants (whereof 696,000 is the two-thirds), nor above 800,000, as we have credibly and often heard. For suppose Amsterdam hath—as we have elsewhere noted—187,000, the seven next great cities at 30,000 each, one with another, 210,000, the ten next at 15,000 each 150,000, the ten smallest at 6,000 each 60,000—in all, the twenty-eight walled cities and towns of Holland 607,000; in the dorps and villages 193,000, which is about one head for every four acres of land; whereas in England there is eight acres for every head, without the cities and market-towns.

Now, suppose London, having 116,000 families, should have seven heads in each—the medium between MM. Auzout’s and Grant’s reckonings—the total of the people would be 812,000; or if we reckon that there dies one out of thirty-four—the medium between thirty and thirty-seven above mentioned—the total of the people would be thirty-four times 23,212, viz., 789,208, the medium between which number and the above 812,000 is 800,604, somewhat exceeding 800,000, the supposed number of Holland.

Furthermore, I say that upon former searches into the peopling of the world, I never found that in any country—not in China itself—there was more than one man to every English acre of land: many territories passing for well-peopled where there is but one man for ten such acres. I found by measuring Holland and West Frisia (_alias_ North Holland) upon the best maps, that it contained but as many such acres as London doth of people, viz., about 696,000 acres. I therefore venture to pronounce (till better informed) that the people of London are as many as those of Holland, or at least above two-thirds of the same, which is enough to disable the objection above mentioned; nor is there any need to strain up London from 696,000 to 800,000, though competent reasons have been given to that purpose, and though the author of the excellent map of London, set forth A.D. 1682, reckoned the people thereof (as by the said map appears) to be 1,200,000, even when he thought the houses of the same to be but 85,000.

The worthy person who makes this objection in the same letter also saith—

1. That the province of Holland hath as many people as the other six united provinces together, and as the whole kingdom of England, and double to the city of Paris and its suburbs; that is to say, 2,000,000 souls. 2. He says that in London and Amsterdam, and other trading cities, there are ten heads to every family, and that in Amsterdam there are not 22,000 families. 3. He excepteth against the register alleged by Monsieur Auzout, which makes 23,223 houses and above 80,000 families to be in Paris; as also against the register alleged by Petty, making 105,315 houses to be in London, with a tenth part of the same to be of families more than houses; and probably will except against the register of 1,163 houses to be in all England, that number giving, at six and one-third heads to each family, about 7,000,000 people, upon all which we remark as follows, viz.:—

1. That if Paris doth contain but 488,000 souls, that then all Holland containeth but the double of that number, or 976,000, wherefore London, containing 696,000 souls, hath above two-thirds of all Holland by 46,000.

2. If Paris containeth half as many people as there are in all England, it must contain 3,500,000 souls, or above seven times 488,000; and because there do not die 20,000 per annum out of Paris, there must die but one out of 175; whereas Monsieur Auzout thinks that there dies one out of 25, and there must live 149 heads in every house of Paris mentioned in the register, but there must be scarce two heads in every house of England, all which we think fit to be reconsidered.

I must, as an Englishman, take notice of one point more, which is, that these assertions do reflect upon the empire of England, for that it is said that England hath but 2,000,000 inhabitants, and it might as well have been added, that Scotland and Ireland, with the Islands of Man, Jersey, and Guernsey, have but two-fifths of the same number, or 800,000 more, or that all the King of England’s subjects in Europe are but 2,800,000 souls, whereas he saith that the subjects of the seven united provinces are 4,000,000. To which we answer that the subjects of the said seven provinces are, by this objector’s own showing, but the quadruple of Paris, or 1,932,000 souls, Paris containing but 488,000, as afore hath been proved, and we do here affirm that England hath 7,000,000 people, and that Scotland, Ireland, with the Islands of Man, Jersey, and Guernsey, hath two-fifths of the said number, or 2,800,000 more, in all 9,800,000; whereas by the objector’s doctrine, if the seven provinces have 1,932,000 people, the King of England’s territories should have but seven-tenths of the same number, viz., 1,351,000, whereas we say 9,800,000, as aforesaid, which difference is so gross as that it deserves to be thus reflected upon.

To conclude, we expect from the concerned critics of the world that they would prove—

1. That Holland, and West Frisia, and the twenty-eight towns and cities thereof, hath more people than London alone.

2. That any three of the best cities of France, any two of all Christendom, or any one of the world, hath the same, or better housing, and more foreign trade than London, even in the year that King James the Second came to the empire thereof.

OF THE PEOPLE OF ENGLAND.

_Founded upon the Calculations of Gregory King_, _Lancaster Herald_, _and forming part of_ “_An Essay upon the Probable Methods of making a People gainers in the Balance of Trade_.” _Published in 1699_.

THE writer of these papers has seen the natural and political observations and conclusions upon the state and condition of England by Gregory King, Esq., Lancaster Herald, in manuscript. The calculations therein contained are very accurate, and more perhaps to be relied upon than anything that has been ever done of the like kind. This skilful and laborious gentleman has taken the right course to form his several schemes about the numbers of the people, for besides many different ways of working, he has very carefully inspected the poll-books, and the distinctions made by those acts, and the produce in many of the respective polls, going everywhere by reasonable and discreet mediums: besides which pains, he has made observations of the very facts in particular towns and places, from which he has been able to judge and conclude more safely of others, so that he seems to have looked further into this mystery than any other person.

With his permission, we shall offer to the public such of his computations as may be of use, and enlighten in the matter before us.

He lays down that if the first peopling of England was by a colony or colonies, consisting of a number between 100 and 1,000 people (which seems probable), such colony or colonies might be brought over between the year of the world 2400 and 2600, viz., about 800 or 900 years after the Flood, and 1,400 or 1,500 years before the birth of Christ, at which time the world might have about 1,000,000 families, and 4,000,000 or 5,000,000 people.

From which hypothesis it will follow by an orderly series of increase—

That when the Romans invaded England fifty-three years before Christ’s time, the kingdom might have about 360,000 people, and at Christ’s birth about 400,000.

That at the Norman Conquest, A.D. 1066, the kingdom might contain somewhat above 2,000,000.

That A.D. 1260, or about 200 years after the Norman Conquest, it might contain about 2,750,000 people, or half the present number: so that the people of England may have doubled in about 435 years last past.

That in all probability the next doubling will be in about 600 years to come, viz., by the year 2300, at which time it may have about 11,000,000 people, and the kingdom containing about 39,000,000 of acres, there will be then about three acres and a half per head.

That the increase of the kingdom for every hundred years of the last preceding term of doubling, and the subsequent term of doubling, may have been and in all probability may be, according to the following scheme:—

Anno Domini. Number of people. Increase every hundred
years.
1300 2,800,000
1400 3,300,000 440,000.
1500 3,840,000 540,000.
1600 4,620,000 780,000.
1700 5,500,000 880,000.
1800 6,420,000 920,000.
1900 7,350,000 930,000.
2000 8,280,000 930,000.
2100 9,205,000 925,000.
2200 10,115,000 910,000.
2300 11,000,000 885,000.

Whereby it may appear that the increase of the kingdom being 880,000 people in the last hundred years, and 920,000 in the next succeeding hundred years, the annual increase at this time may be about 9,000 souls per annum.

But whereas the yearly births of the kingdom are 190,000 souls. about 1 in 28.95, or And the yearly burials 1 in 32.35 or 170,000 souls. Whereby the yearly increase would be 20,000 souls. It is to be noted— Per ann. 1. That the allowance for 4,000 plagues and great mortalities may come to at a medium 2. Foreign or civil wars at a 3,500 medium 3. The sea constantly employing 2,500 about 40,000, may precipitate the death of about 4. The plantations (over and 1,000 above the accession of foreigners) may carry away 11,000 per annum. Whereby the net annual increase may be but 9,000 souls.

That of these 20,000 souls, which would be the annual increase of the kingdom by procreation, were it not for the before-mentioned abatements.

The country increases annually by procreation 20,000 souls. The cities and towns, exclusive of London, by 2,000 souls. procreation But London and the bills of mortality decrease 2,000 souls. annually

So that London requires a supply of 2,000 souls per annum to keep it from decreasing, besides a further supply of about 3,000 per annum for its increase at this time. In all 5,000, or above a half of the kingdom’s net increase.

Mr. King further observes that by the assessments on marriages, births, and burials, and the collectors’ returns thereupon, and by the parish registers, it appears that the proportions of marriages, births, and burials are according to the following scheme

_Vide_ Scheme A.

Whence it may be observed that in 10,000 coexisting persons there are 71 or 72 marriages in the country, producing 343 children; 78 marriages in towns producing 351 children; 94 marriages in London, producing 376 children.

Whereby it follows—

1. That though each marriage in London produces fewer people than in the country, yet London in general having a greater proportion of breeders, is more prolific than the other great towns, and the great towns are more prolific than the country.

2. That if the people of London of all ages were as long-lived as those in the country, London would increase in people much faster _pro rata_ than the country.

3. That the reasons why each marriage in London produces fewer children than the country marriages seem to be—

(1) From the more frequent fornications and adulteries.

(2) From a greater luxury and intemperance.

(3) From a greater intentness on business.

(4) From the unhealthfulness of the coal smoke.

(5) From a greater inequality of age between the husbands and wives.

(6) From the husbands and wives not living so long as in the country.

He further observes, accounting the people to be 5,500,000, that the said five millions and a half (including the transitory people and vagrants) appear by the assessments on marriages, births, and burials, to bear the following proportions in relation to males and females, and other distinctions of the people, viz.:—

SCHEME A.

People. Annual Producing
Marriages. children
In all. each
530,000 London and 1 in 106 5,000 4.0
bills of
mortality
870,000 The cities 1 in 128 6,800 4.5
and market
towns
4,100,000 The 1 in 141 29,200 4.8
villages
and hamlets
5,500,000 1 in 134 41,000 4.64

* * * * *

Annual Births. Annual Burials. In all. In all. London and 1 in 26½ 20,000 1 in 24.1 22,000 bills of mortality The cities 1 in 28½ 30,600 1 in 30.4 28,600 and market towns The 1 in 29.4 29,200 1 in 34.4 119,400 villages and hamlets 1 in 28.95 190,000 1 in 32.35 170,000

_Vide_ Scheme B.

So that the number of communicants is in all 3,260,000 souls; and the number of fighting men between sixteen and sixty is 1,308,000.

SCHEME B.

Males. Males. Females. Both. Females. In London 10 to 13 230,000 300,000 530,000 and bills of mortality In the 8 to 9 410,000 460,000 870,000 other cities and market- towns In the 100 to 99 2,060,000 2,040,000 4,100,000 villages and hamlets 27 to 28 2,700,000 2,800,000 5,500,000

_That as to other distinctions they appear by the said assessments to bear these proportions_.

People. Males. Females. Husbands and 34½% 1,900,000 950,000 950,000 wives at above Widowers at 1½% 90,000 90,000 above Widows at about 4½% 240,000 240,000 Children at 45% 2,500,000 1,300,000 1,200,000 above Servants at 10½% 560,000 260,000 300,000 about Sojourners and 4% 210,000 100,000 110,000 single persons 100% 5,500,000 2,700,000 2,800,000

_And that the different proportions in each of the said articles between London_, _the great towns_, _and the villages_, _may the better appear_, _he has formed the following scheme_:—

London and Bills of The other Cities and The Villages and Mortality. Souls. great Towns. Souls. Hamlets. Souls. Husbands and Wives 37% 196,100 36% 313,200 34% 1,394,000 Widowers 2% 10,600 2% 17,400 1½% 61,500 Widows 7% 37,100 6% 52,200 4½% 184,500 Children 33% 174,900 40% 348,000 47% 1,927,000 Servants 13% 68,900 11% 95,700 10% 410,000 Sojourners 8% 42,400 5% 43,500 3% 123,000 100% 530,000 100% 870,000 100% 4,100,000

SCHEME B (_continued_).

_He further observes_, _supposing the people to be 5,500,000_, _that the yearly births of the Kingdom may be 190,000_, _and that the several ages of the people may be as follows_:

In all. Males. Females. Those under 1 years old 170,000 88,500 81,500 Those under 5 years old 820,000 413,300 406,700 Those under 10 years old 1,520,000 762,900 757,100 Those above 16 years old 3,260,000 1,578,000 1,682,000 Those above 21 years old 2,700,000 1,300,000 1,400,000 Those above 25 years old 2,400,000 1,152,000 1,248,000 Those above 60 years old 600,000 270,000 330,000 Those under 16 years old 2,240,000 Those above 16 years old 3,260,000 Total of the people 5,500,000

That the bachelors are about 28 per cent. of the whole, whereof those under twenty-five years are 25½ per cent., and those above twenty-five years are 2½ per cent.

That the maidens are about 28½ per cent. of the whole.

Whereof those under 25 years are 26½ per cent.

And those above 25 years are 2 per cent.

That the males and females in the kingdom in general are aged, one with another, 27 years and a half.

That in the kingdom in general there is near as many people living under 20 years of age as there is above 20, whereof half of the males are under 19, and one half of the females are under 21 years.

That the ages of the people, according to their several distinctions, are as follows, viz.:—

_Vide_ Scheme C.

Having thus stated the numbers of the people, he gives a scheme of the income and expense of the several families of England, calculated for the year 1688.

SCHEME C.

At a Medium The husbands 43 years 17¼ per cent., 742 years. are aged apiece, which, makes at The wives 40 17¼ 690 The widowers 56 1½ 84 The widows 60 4½ 270 The children 12 45 540 The servants 27 10½ 284 The sojourners 35 4 140 At a medium 27½ 100 2,750

_Vide_ Scheme D.

Mr. King’s modesty has been so far overruled as to suffer us to communicate these his excellent computations, which we can the more safely commend, having examined them very carefully, tried them by some little operations of our own upon the same subject, and compared them with the schemes of other persons, who take pleasure in the like studies.

What he says concerning the number of the people to be 5,500,000 is no positive assertion, nor shall we pretend anywhere to determine in that matter; what he lays down is by way of hypothesis, that supposing the inhabitants of England to have been, A.D. 1300, 2,860,000 heads, by the orderly series of increase allowed of by all writers they may probably be about A.D. 1700, 5,500,000 heads; but if they were A.D. 1300 either less or more, the case must proportionably alter; for as to his allowances for plagues, great mortalities, civil wars, the sea, and the plantations, they seem very reasonable, and not well to be controverted.

Upon these schemes of Mr. King we shall make several remarks, though the text deserves much a better comment.

SCHEME D.—A SCHEME OF THE INCOME AND EXPENSE OF THE SEVERAL FAMILIES OF ENGLAND, CALCULATED FOR THE YEAR 1688. {148}

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Essays on Mankind and Political ArithmeticChapter I: DO presume, in a very small paper, to show your Majesty that your City (1)

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