of a thing, this cannot be done but by definitions.
Definition is made by Division in this manner, we must take
the Genus of the thing to be defined, as that of man, living crea∣ture;
that we must divide by the next differences, descending to
its species, as rationall, and irrationall, mortall, and immortall.
Thus by adding the first difference to the Genus, is made the de∣finition
of man.
Of Analysis there are three kinds, one by which we ascend from
Sensibles to primary Intelligibles, another whereby we ascend
by demonstrates and subdemonstrates, to indemonstrable imme∣diate
propositions. The last, which from supposition proceedeth
to those principles which are taken without supposition.
The first kind is thus, as if from that Beauty which is in the
body, we should proceed to that of the minde, from that to an∣other
conversant in the offices of life, thence to that of Lawes, and
so at last to the vast ocean of Beauty, that by these steps, as it
were, we may arrive at the sight of the supream Beauty.
The second kind of Analysis is thus; We must suppose that
which we seek, and consider those which are precedent, demon∣strating
them by progression, from inferiours to superiours, untill
we arrive at that which is first and generally granted: From
which, beginning anew, we return synthetically to that which
was sought. As for example, I enquire whether the Soul be im∣mortall,
and supposing it to be so, I enquire whether it be al∣waies
moved. This being demonstrated, I again enquire, whe∣ther
that which is alwaies moved, is moved by its selfe, which
being again demonstrated, we examine, whether that which is
moved by its selfe, be the principall of motion. Lastly, whether
a principall is ingenerate; this, as most certain, is admitted by
all. That which is ingenerate, is also incorruptible; whence, as
from a thing most certain, we collect this demonstration. If a
Principle be ingenerate and incorruptible, that which is moved
by its selfe is the principle of motion; but the soul is moved by
its selfe, therefore the soul is incorruptible, ingenerate, and im∣mortall.
The third kind of Analysis upon supposition is this; He who
enquireth after a thing, first, supposeth that thing, then observes
what will follow upon that supposition. If a reason for the sup∣position
be required, assuming another supposition, he enquireth,
whether that which was first supposed, follow again upon an∣other
supposition: This he alwaies observeth; untill he come at
last to that principle, which is not taken upon supposition.
Induction is every method by reason, which proceedeth either
from like to like, or from Singulars to Universalls: It is of great
efficacy to excite naturall notions.