The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Thomas Hobbes · en
12. Space or time is said to _finite in power_, or _terminable_, when
there may be assigned a number of finite spaces or times, as of paces or
hours, than which there can be no greater number of the same measure in
that space or time; and _infinite in power_ is that space or time, in
which a greater number of the said paces or hours may be assigned, than
any number that can be given. But we must note, that, although in that
space or time which is infinite in power, there may be numbered more
paces or hours than any number that can be assigned, yet their number
will always be finite; for every number is finite. And therefore his
ratiocination was not good, that undertaking to prove the world to be
finite, reasoned thus; _If the world be infinite, then there may be
taken in it some part which is distant from us an infinite number of
paces: but no such part can be taken; wherefore the world is not
infinite_; because that consequence of the major proposition is false;
for in an infinite space, whatsoever we take or design in our mind, the
distance of the same from us is a finite space; for in the very
designing of the place thereof, we put an end to that space, of which we
ourselves are the beginning; and whatsoever any man with his mind cuts
off both ways from infinite, he determines the same, that is, he makes
it finite.
Of infinite space or time, it cannot be said that it is a _whole_ or
_one_: not a _whole_, because not compounded of parts; for seeing parts,
how many soever they be, are severally finite, they will also, when they
are all put together, make a whole finite: nor _one_, because nothing
can be said to be one, except there be another to compare it with; but
it cannot be conceived that there are two spaces, or two times,
infinite. Lastly, when we make question whether the world be finite or
infinite, we have nothing in our mind answering to the name _world_; for
whatsoever we imagine, is therefore finite, though our computation reach
the fixed stars, or the ninth or tenth, nay, the thousandth sphere. The
meaning of the question is this only, whether God has actually made so
great an addition of body to body, as we are able to make of space to
space.
[Sidenote: Division proceeds not to the least.]