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"Hotel 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 circ.u.mstances; 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"Hotel 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 Charite 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"Hotel 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 Charite.

2. Moreover, in the year 1679 there entered into La Charite 3,118, of which there died 452, which is above a seventh part, and in the same year there entered into L"Hotel 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"Hotel 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 Charite 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"Hotel Dieu 7,013 per annum, and that the proportion of those that died out of L"Hotel Dieu is double to those that died out of La Charite (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 Charite 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 Charite 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"Hotel 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"Hotel 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.

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