The Catholic World, Vol. 22, October, 1875, to March, 1876: A Monthly Magazine of General Literature and ScienceVarious
Religion
The Catholic World, Vol. 22, October, 1875, to March, 1876: A Monthly Magazine of General Literature and Science
Various
Catholic Church -- Periodicals
All real intervals of duration regard the past; for in the past alone
can we find a real _before_ and a real _after_. The present gives no
interval, as we have just stated, but only simultaneousness. The future
is real only potentially--that is, it will be real, but it is not yet.
What has never been, and never will be, is merely imaginary. To this
last class belong all the intervals of duration corresponding to those
conditional events which did not happen, owing to the non-fulfilment of
the conditions on which their reality depended.
As to the measurement of flowing duration a few words will suffice. The
_when_ considered absolutely is incapable of measuring an interval of
duration, for the reason that the _when_ is unextended, and therefore
unproportionate to the mensuration of a continuous interval; for the
measure must be of the same kind with the thing to be measured. Just
as a continuous line cannot be made up of unextended points, so cannot
a continuous interval be made up of indivisible instants; hence, as a
line is divisible only into smaller and smaller lines, by which it can
be measured, so also an interval of duration is divisible only into
smaller and smaller intervals, and is measured by the same. These smaller
intervals, being continuous, are themselves divisible and mensurable by
other intervals of less duration, and these other intervals are again
divisible and mensurable; so that, from the nature of the thing, it is
impossible to reach an absolute measure of duration, and we must rest
satisfied with a relative one, just as in the case of a line and of any
other continuous quantity. The smallest unit or measure of duration
commonly used is the second, or sixtieth part of a minute.
But, since continuous quantities are divisible _in infinitum_, it may be
asked, what prevents us from considering a finite interval of duration
as containing an infinite multitude of infinitesimal units of duration?
If nothing prevents us, then in the infinitesimal unit we shall have
the true and absolute measure of duration. We answer that nothing
prevents such a conception; but the mensuration of a finite interval by
infinitesimal units would never supply us the means of determining the
relative lengths of two intervals of duration. For, if every interval is
a sum of infinite terms, and is so represented, how can we decide which
of those intervals is the greater, since we cannot count the infinite?
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