THE LATTER OF THE SAID TWO TABLES.

_There died in London at the medium between the years_—

1604 and 1605 5,135. A.

1621 and 1622 8,527 B.

1641 and 1642 11,883 C.

1661 and 1662 15,148. D.

1681 and 1682 22,331. E.

Wherein observe, that the number C is double to A and 806 over. That D

is double to B within 1,906. That C and D is double to A and B within

293. That E is double to C within 1,435. That D and E is double to B

and C within 3,341; and that C and D and E are double to A and B and C

within 1,736; and that E is above quadruple to A. All which differences

(every way considered) do allow the doubling of the people of London in

40 years to be a sufficient estimate thereof in round numbers, and

without the trouble of fractions. We also say that 669,930 is near the

number of people now in London, because the burials are 22,331, which,

multiplied by 30 (one dying yearly out of 30, as appears in the 94th page

of the aforementioned observations), maketh the said number; and because

there are 84,000 tenanted houses (as we are credibly informed), which, at

8 in each, makes 672,000 souls; the said two accounts differing

inconsiderably from each other.

We have thus pretty well found out in what number of years (viz., in

about 40) that the city of London hath doubled, and the present number of

inhabitants to be about 670,000. We must now also endeavour the same for

the whole territory of England and Wales. In order whereunto, we first

say that the assessment of London is about an eleventh part of the whole

territory, and, therefore, that the people of the whole may well be

eleven times that of London, viz., about 7,369,000 souls; with which

account that of the poll-money, hearth-money, and the bishop’s late

numbering of the communicants, do pretty well agree; wherefore, although

the said number of 7,369,000 be not (as it cannot be) a demonstrated

truth, yet it will serve for a good supposition, which is as much as we

want at present.

As for the time in which the people double, it is yet more hard to be

found. For we have good experience (in the said page 94 of the

aforementioned observations) that in the country but 1 of 50 die per

annum; and by other late accounts, that there have been sometimes but 24

births for 23 burials. The which two points, if they were universally

and constantly true, there would be colour enough to say that the people

doubled but in about 1,200 years. As, for example, suppose there be 600

people, of which let a fiftieth part die per annum, then there shall die

12 per annum; and if the births be as 24 to 23, then the increase of the

people shall be somewhat above half a man per annum, and consequently the

supposed number of 600 cannot be doubled but in 1,126 years, which, to

reckon in round numbers, and for that the aforementioned fractions were

not exact, we had rather call 1,200.

There are also other good observations, that even in the country one in

about 30 or 32 per annum hath died, and that there have been five births

for four burials. Now, according to this doctrine, 20 will die per annum

out of the above 600, and 25 will be born, so as the increase will be

five, which is a hundred and twentieth part of the said 600. So as we

have two fair computations, differing from each other as one to ten; and

there are also several other good observations for other measures.

I might here insert, that although the births in this last computation be

25 of 600, or a twenty-fourth part of the people, yet that in natural

possibility they may be near thrice as many, and near 75. For that by

some late observations, the teeming females between 15 and 44 are about

180 of the said 600, and the males of between 18 and 59 are about 180

also, and that every teeming woman can bear a child once in two years;

from all which it is plain that the births may be 90 (and abating 15 for

sickness, young abortions, and natural barrenness), there may remain 75

births, which is an eighth of the people, which by some observations we

have found to be but a two-and-thirtieth part, or but a quarter of what

is thus shown to be naturally possible. Now, according to this

reckoning, if the births may be 75 of 600, and the burials but 15, then

the annual increase of the people will be 60; and so the said 600 people

may double in ten years, which differs yet more from 1,200

above-mentioned. Now, to get out of this difficulty, and to temper those

vast disagreements, I took the medium of 50 and 30 dying per annum, and

pitched upon 40; and I also took the medium between 24 births and 23

burials, and 5 births for 4 burials, viz., allowing about 10 births for 9

burials; upon which supposition there must die 15 per annum out of the

above-mentioned 600, and the births must be 16 and two-thirds, and the

increase one and two-thirds, or five-thirds of a man, which number,

compared with 1,800 thirds, or 600 men, gives 360 years for the time of

doubling (including some allowance for wars, plagues, and famines, the

effects thereof), though they be terrible at the times and places where

they happen, yet in a period of 360 years is no great matter in the whole

nation. For the plagues of England in twenty years have carried away

scarce an eightieth part of the people of the whole nation; and the late

ten years’ civil wars (the like whereof hath not been in several ages

before) did not take away above a fortieth part of the whole people.

According to which account or measure of doubling, if there be now in

England and Wales 7,400,000 people, there were about 5,526,000 in the

beginning of Queen Elizabeth’s reign, A.D. 1560, and about 2,000,000 at

the Norman Conquest, of which consult the Doomsday Book, and my Lord

Hale’s “Origination of Mankind.”

Memorandum.—That if the people double in 360 years, that the present

320,000,000 computed by some learned men (from the measures of all the

nations of the world, their degrees of being peopled, and good accounts

of the people in several of them) to be now upon the face of the earth,

will within the next 2,000 years so increase as to give one head for

every two acres of land in the habitable part of the earth. And then,

according to the prediction of the Scriptures, there must be wars, and

great slaughter, &c.

Wherefore, as an expedient against the above-mentioned difference between

10 and 1,200 years, we do for the present, and in this country, admit of

360 years to be the time wherein the people of England do double,

according to the present laws and practice of marriages.

Now, if the city double its people in 40 years, and the present number be

670,000, and if the whole territory be 7,400,000, and double in 360

years, as aforesaid, then by the underwritten table it appears that A.D.

1840 the people of the city will be 10,718,880, and those of the whole

country but 10,917,389, which is but inconsiderably more. Wherefore it

is certain and necessary that the growth of the city must stop before the

said year 1840, and will be at its utmost height in the next preceding

period, A.D. 1800, when the number of the city will be eight times its

present number, 5,359,000. And when (besides the said number) there will

be 4,466,000 to perform the tillage, pasturage, and other rural works

necessary to be done without the said city, as by the following table,

viz.:—

A.D. Burials. People in People in

London. England.

1565 2,568 77,040 5,526,929

As in the 1605 5,135

former table.

1642 11,883

1682 22,331 669,930 7,369,230

1722 44,662

1762 89,324

1802 178,648 5,359,440 9,825,650

1842 357,296 10,718,889 10,917,389

Now, when the people of London shall come to be so near the people of all

England, then it follows that the growth of London must stop before the

said year 1842, as aforesaid, and must be at its greatest height A.D.

1800, when it will be eight times more than now, with above 4,000,000 for

the service of the country and ports, as aforesaid.

Of the aforementioned vast difference between 10 years and 1,200 years

for doubling the people, we make this use, viz.:—To justify the

Scriptures and all other good histories concerning the number of the

people in ancient time. For supposing the eight persons who came out of

the Ark, increased by a progressive doubling in every ten years, might

grow in the first 100 years after the Flood from 8 to 8,000, and that in

350 years after the Flood (whereabouts Noah died) to 1,000,000 and by

this time, 1682, to 320,000,000 (which by rational conjecture are thought

to be now in the world), it will not be hard to compute how, in the

intermediate years, the growths may be made, according to what is set

down in the following table, wherein making the doubling to be ten years

at first, and within 1,200 years at last, we take a discretionary

liberty, but justifiable by observations and the Scriptures for the rest,

which table we leave to be corrected by historians who know the bigness

of ancient cities, armies, and colonies in the respective ages of the

world, in the meantime affirming that without such difference in the

measures and periods for doubling (the extremes whereof we have

demonstrated to be real and true) it is impossible to solve what is

written in the Holy Scriptures and other authentic books. For if we

pitch upon any one number throughout for this purpose, 150 years is the

fittest of all round numbers; according to which there would have been

but 512 souls in the whole world in Moses’ time (being 800 years after

the Flood), when 603,000 Israelites of above twenty years old (besides

those of other ages, tribes, and nations) were found upon an exact survey

appointed by God, whereas our table makes 12,000,000. And there would

have been about 8,000 in David’s time, when were found 1,100,000, of

above twenty years old (besides others, as aforesaid) in Israel, upon the

survey instigated by Satan, whereas our table makes 32,000,000. And

there would have been but a quarter of a million about the birth of

Christ, or Augustus’s time, when Rome and the Roman Empire were so great,

whereas our table makes 100,000,000. Where note, that the Israelites in

about 500 years, between their coming out of Egypt to David’s reign,

increased from 603,000 to 1,100,000.

On the other hand, if we pitch upon a less number, as 100 years, the

world would have been over-peopled 700 years since. Wherefore no one

number will solve the phenomena, and therefore we have supposed several,

in order to make the following table, which we again desire historians to

correct, according to what they find in antiquity concerning the number

of the people in each age and country of the world.

We did (not long since) assist a worthy divine, writing against some

sceptics, who would have baffled our belief of the resurrection, by

saying, that the whole globe of the earth could not furnish matter enough

for all the bodies that must rise at the last day, much less would the

surface of the earth furnish footing for so vast a number; whereas we did

(by the method afore mentioned) assert the number of men now living, and

also of those that had died since the beginning of the world, and did

withal show, that half the island of Ireland would afford them all, not

only footing to stand upon, but graves to lie down in, for that whole

number; and that two mountains in that country were as weighty as all the

bodies that had ever been from the beginning of the world to the year

1680, when this dispute happened. For which purpose I have digressed

from my intended purpose to insert this matter, intending to prosecute

this hint further upon some more proper occasion.

A TABLE SHOWING HOW THE PEOPLE MIGHT HAVE DOUBLED IN THE SEVERAL AGES OF

THE WORLD.

Periods of doubling A.D., after the Persons.

Flood.

In 10 years 1 8

10 16

20 32

30 64

40 128

50 256

60 512

70 1,024

80 2,048

90 4,096

100 8,000 and more.

120 16,000

In 20 years 140 32,000

In 30 years 170 64,000

200 128,000

40 240 256,000

50 290 512,000

60 350 1,000,000 and more.

70 420 2,000,000

100 520 4,000,000

190 710 8,000,000

290 1,000 16,000,000 in Moses’

time.

400 1,400 32,000,000 about

David’s time.

550 1,950 64,000,000

750 2,700 128,000,000 about the

birth of Christ.

1,000 3,700 256,000,000

300

In 300 / 1,200 4,000 320,000,000

It is here to be noted, that in this table we have assigned a different

number of years for the time of doubling the people in the several ages

of the world, and might have done the same for the several countries of

the world, and therefore the said several periods assigned to the whole

world in the lump may well enough consist with the 360 years especially

assigned to England, between this day and the Norman Conquest; and the

said 360 years may well enough serve for a supposition between this time

and that of the world’s being fully peopled; nor do we lay any stress

upon one or the other in this disquisition concerning the growth of the

city of London.

We have spoken of the growth of London, with the measures and periods

thereof; we come next to the causes and consequences of the same.

The causes of its growth from 1642 to 1682 may be said to have been as

follows, viz.:—From 1642 to 1650, that men came out of the country to

London, to shelter themselves from the outrages of the Civil Wars during

that time; from 1650 to 1660, the royal party came to London for their

more private and inexpensive living; from 1660 to 1670, the king’s

friends and party came to receive his favours after his happy

restoration; from 1670 to 1680, the frequency of plots and parliaments

might bring extraordinary numbers to the city; but what reasons to assign

for the like increase from 1604 to 1642 I know not, unless I should pick

out some remarkable accident happening in each part of the said period,

and make that to be the cause of this increase (as vulgar people make the

cause of every man’s sickness to be what he did last eat), wherefore,

rather than so to say _quidlibet de quolibet_, I had rather quit even

what I have above said to be the cause of London’s increase from 1642 to

1682, and put the whole upon some natural and spontaneous benefits and

advantages that men find by living in great more than in small societies,

and shall therefore seek for the antecedent causes of this growth in the

consequences of the like, considered in greater characters and

proportions.

Now, whereas in arithmetic, out of two false positions the truth is

extracted, so I hope out of two extravagant contrary suppositions to draw

forth some solid and consistent conclusion, viz.:—

The first of the said two suppositions is, that the city of London is

seven times bigger than now, and that the inhabitants of it are 4,690,000

people, and that in all the other cities, ports, towns, and villages,

there are but 2,710,000 more.

The other supposition is, that the city of London is but a seventh part

of its present bigness, and that the inhabitants of it are but 96,000,

and that the rest of the inhabitants (being 7,304,000) do cohabit thus:

104,000 of them in small cities and towns, and that the rest, being

7,200,000, do inhabit in houses not contiguous to one another, viz., in

1,200,000 houses, having about twenty-four acres of ground belonging to

each of them, accounting about 28,000,000 of acres to be in the whole

territory of England, Wales, and the adjacent islands, which any man that

pleases may examine upon a good map.

Now, the question is, in which of these two imaginary states would be the

most convenient, commodious, and comfortable livings?

But this general question divides itself into the several questions,

relating to the following particulars, viz.:—

Essays on Mankind and Political Arithmetic · 第 14 / 72 题