An Essay Concerning Humane Understanding, Volume 1: MDCXC, Based on the 2nd Edition, Books 1 and 2
John Locke · en
of infinite), that has not a comprehensive idea of the dimensions of
it: and such, nobody, I think, pretends to in what is infinite. For to
say a man has a positive clear idea of any quantity, without knowing
how great it is, is as reasonable as to say, he has the positive clear
idea of the number of the sands on the sea-shore, who knows not how
many there be, but only that they are more than twenty. For just such a
perfect and positive idea has he of an infinite space or duration, who
says it is LARGER THAN the extent or duration of ten, one hundred, one
thousand, or any other number of miles, or years, whereof he has or can
have a positive idea; which is all the idea, I think, we have of
infinite. So that what lies beyond our positive idea TOWARDS infinity,
lies in obscurity, and has the indeterminate confusion of a negative
idea, wherein I know I neither do nor can comprehend all I would, it
being too large for a finite and narrow capacity. And that cannot but
be very far from a positive complete idea, wherein the greatest part of
what I would comprehend is left out, under the undeterminate intimation
of being still greater. For to say, that, having in any quantity
measured so much, or gone so far, you are not yet at the end, is only
to say that that quantity is greater. So that the negation of an end in
any quantity is, in other words, only to say that it is bigger; and a
total negation of an end is but carrying this bigger still with you, in
all the progressions your thoughts shall make in quantity; and adding
this IDEA OF STILL GREATER to ALL the ideas you have, or can be
supposed to have, of quantity. Now, whether such an idea as that be
positive, I leave any one to consider.
16. We have no positive Idea of an infinite Duration.