7811.) and other Writers, on the Probabilities of Life: 90% 
TT5TA 
—_— 
10.0000 
And the probability that a woman, aged 
40, shall attain to the age of 50, or live 
5 
ears. 
oo 
ars, as per fracti ide 
years, pe 1015) 'Za57 
af years, I find equal WOTg Gon: 
instead of jo.d000 Y°8"ss 88 per fracs 
tion, —. But the probability that 
uv 
both those persons shall live 10 years, I 
find equal to 
6.6003 
40.0000 Y°#"* 
3096 % 4027 ) 12467592 
39914733. ~~ 18889403 
In the third example he states; ‘* The 
probability that euch of three lives, 
aged 20, 30, and 40, shall live 15 years, 
is, according to the observations made at 
Northampton, as given in Table 25, equal 
. 4010 3248 2443 Bist 
)———, ——-» and, > respectively. 
51382. 4385 3635 
Bat tle probability that all those lives 
shall continue so loig, is equal to the 
roduct of the three fractions into each 
other; whence such probability will be 
denoted by 31883927040 ,, 
: 81801535700 
. Now the probability that. each. of 
three lives, aged 20, 30, and, 40, shall 
live. 15) years, (according, to. the: Nor- 
thampton observations,). I find equal to 
years, instead of. 
10.0000 
fractions, 
as per 
13.3644 13.0701 12.5836 
76.0000 15.0000 5.0000 2°" 
11.7205 
respectivel Yo . motead of 
15.0000 
re sosttiiss es 
* Tg0000 15.0000. > P 
ive) fracti 4010, 5248 
tively, as per fractions, 5192” 4385. 
 , 2443 3 
ans SEP reauectiely; hae the Bir 
bability that ald those lives shall continue 
13.0505 
—_— 
soilong, I find équal to 7 anne 
5,8466 
15.0000 
tion, 4010, 9248. x 2448. 
PS 5198 x 4885 x S085 
31883927010 | 
6 1801385700 
By following up thé infexibility of 
years, 
instead of years, as per frac- 
this immutable law of Nature, througly 
every intermediate link of the chain, to 
its arrival at the extremity of old aye, I 
find the probability that a person, whose 
age is 20, shall attain to the age of 95, 
or live 75 years, is, according to the obs 
servations of M. De Parcieux, as given in 
9 
Mr. Baily’sthird Table, equal to at 
73 00GB 
years. The probability that a person, 
whose age is 30, shall attain to the age 
of 93, or live 65 years, is, according te 
34.0586 
65.0000 
years. And the probability that a pers 
son, whose age’is 40, shall attain to the 
age of 95, or live 55 years, is, according 
to the same observations, equal” te 
27.4802 
the same observations, equal to 
all those persons shall continue in being 
to the end of a term of 55 years, I find, 
by the same observations, equal to 
33.6807 1 
55.0000 
denoted by 0.0000, as necessarily resulee 
ing from the-doctrine subscribed by the 
mathematical faithful, enrolled in their 
court of chancery. I will here make 
free and ask, whether the expression, 
“continue in being to the end of any 
given term,” means any thing, or means 
nothing? Should it so happen as to 
mean something, the plain question is, 
what is that something that it does mean ? 
Can the. probable continuation of the 
existence of an assigned life be equal to 
itself, and unequal. to itself, at one and 
the same time? The rule given in 
page 355, and the result in page 534, 
woply that it can. To carry this @ 
little farther: let it be supposed possible 
to make the expression, ‘ continue in 
being to the end of any given term,” to 
signify some real entity in nature, and 
that it may be attempted to form in the 
mind aclear and distinct conception of 
such entity; and that the immediate ob- 
ject so conceived be a specific period of 
time ; then will the probability that a 
person, whose age is 15, shall continue in 
being-to the end of a term of ten years, 
as deduced. by the law of nature from the 
register of life and death (as given ia 
page 530, tabte the third) be equal to a 
period of nine years, and the fraction 
.53837; the probability that the same 
person shall continue in» being, to the 
end of a term of 20 years, will be equal 
to 
years, instead of the nonentity 
