Chapter 4.—The Ratio of the
Single to the Double Comes from the Perfection of the Senary
Number. The Perfection of The Senary Number is Commended in the
Scriptures. The Year Abounds in The Senary Number.
7. Now this ratio of the single to
the double arises, no doubt, from the ternary number, since one
added to two makes three; but the whole which these make reaches to
the senary, for one and two and three make six. And this number is
on that account called perfect, because it is completed in its own
parts: for it has these three, sixth, third, and half; nor is there
any other part found in it, which we can call an aliquot part. The
sixth part of it, then, is one; the third part, two; the half,
three. But one and two and three complete the same six. And Holy
Scripture commends to us the perfection of this number, especially
in this, that God finished His works in six days, and on the sixth
day man was made in the image of God.
479
And the Son of God came and was
made the Son of man, that He might re-create us after the image of
God, in the sixth age of the human race. For that is now the
present age, whether a thousand years apiece are assigned to each
age, or whether we trace out memorable and remarkable epochs or
turning-points of time in the divine Scriptures, so that the first
age is to be found from Adam until Noah, and the second thence
onwards to Abraham, and then next, after the division of Matthew
the evangelist, from Abraham to David, from David to the carrying
away to Babylon, and from thence to the travail of the Virgin,
480
which three
ages joined to those other two make five. Accordingly, the nativity
of the Lord began the sixth, which is now going onwards until the
hidden end of time. We recognize also in this senary number a kind
of figure of time, in that threefold mode of division, by which we
compute one portion of time before the Law; a second, under the
Law; a third, under grace. In which last time we have received the
sacrament of renewal, that we may be renewed also in the end of
time, in every part, by the resurrection of the flesh, and so may
be made whole from our entire infirmity, not only of soul, but also
of body. And thence that woman is understood to be a type of the
church, who was made whole and upright by the Lord, after she had
been bowed by infirmity through the binding of Satan. For those
words of the Psalm lament such hidden enemies: “They bowed down
my soul.”
481
And this
woman had her infirmity eighteen years, which is thrice six. And
the months of eighteen years are found in number to be the cube of
six,
viz
. six times six times six. Nearly, too, in the same
place in the Gospel is that fig tree, which was convicted also by
the third year of its miserable barrenness. But intercession was
made for it, that it might be let alone that year, that year, that
if it bore fruit, well; if otherwise, it should be cut down.
482
For both
three years
belong to the same threefold division, and the months of
three years make the square of six, which is six times
six.
8. A single year also, if the whole
twelve months are taken into account, which are made up of thirty
days each (for the month that has been kept from of old is that
which the revolution of the moon determines), abounds in the number
six. For that which six is, in the first order of numbers, which
consists of units up to ten, that sixty is in the second order,
which consists of tens up to a hundred. Sixty days, then, are a
sixth part of the year. Further, if that which stands as the sixth
of the second order is multiplied by the sixth of the first order,
then we make six times sixty,
i.e.
three hundred and sixty
days, which are the whole twelve months. But since, as the
revolution of the moon determines the month for men, so the year is
marked by the revolution of the sun; and five days and a quarter of
a day remain, that the sun may fulfill its course and end the year;
for four quarters make one day, which must be intercalated in every
fourth year, which they call bissextile, that the order of time may
not be disturbed: if we consider, also, these five days and a
quarter themselves, the number six prevails in them. First,
because, as it is usual to compute the whole from a part, we must
not call it five days, but rather six, taking the quarter days for
one day. Next, because five days themselves are the sixth part of a
month; while the quarter of a day contains six hours. For the
entire day,
i.e.
including its night, is twenty-four hours,
of which the fourth part, which is a quarter of a day, is found to
be six hours. So much in the course of the year does the sixth
number prevail.
479
Gen. i. 27
480
Matt. i. 17
481
Ps. lvii. 6
482
Luke xiii. 6–17