An Essay Concerning Humane Understanding, Volume 1: MDCXC, Based on the 2nd Edition, Books 1 and 2Locke, John
Philosophy
An Essay Concerning Humane Understanding, Volume 1: MDCXC, Based on the 2nd Edition, Books 1 and 2
Locke, John
Knowledge, Theory of -- Early works to 1800
He that thinks he has a positive idea of infinite space, will, when he
considers it, find that he can no more have a positive idea of the
greatest, than he has of the least space. For in this latter, which
seems the easier of the two, and more within our comprehension, we are
capable only of a comparative idea of smallness, which will always be
less than any one whereof we have the positive idea. All our POSITIVE
ideas of any quantity, whether great or little, have always bounds,
though our COMPARATIVE idea, whereby we can always add to the one, and
take from the other, hath no bounds. For that which remains, either
great or little, not being comprehended in that positive idea which we
have, lies in obscurity; and we have no other idea of it, but of the
power of enlarging the one and diminishing the other, WITHOUT CEASING.
A pestle and mortar will as soon bring any particle of matter to
indivisibility, as the acutest thought of a mathematician; and a
surveyor may as soon with his chain measure out infinite space, as a
philosopher by the quickest flight of mind reach it or by thinking
comprehend it; which is to have a positive idea of it. He that thinks
on a cube of an inch diameter, has a clear and positive idea of it in
his mind, and so can frame one of 1/2, 1/4, 1/8, and so on, till he has
the idea in his thoughts of something very little; but yet reaches not
the idea of that incomprehensible littleness which division can
produce. What remains of smallness is as far from his thoughts as when
he first began; and therefore he never comes at all to have a clear and
positive idea of that smallness which is consequent to infinite
divisibility.
19. What is positive, what negative, in our Idea of Infinite.
Every one that looks towards infinity does, as I have said, at first
glance make some very large idea of that which he applies it to, let it
be space or duration; and possibly he wearies his thoughts, by
multiplying in his mind that first large idea: but yet by that he comes
no nearer to the having a positive clear idea of what remains to make
up a positive infinite, than the country fellow had of the water which
was yet to come, and pass the channel of the river where he stood:
‘Rusticus expectat dum defluat amnis, at ille
Labitur, et labetur in omne volubilis ævum.’
20. Some think they have a positive Idea of Eternity, and not of
infinite Space.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account