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Locke, John

"An Essay Concerning Human Understanding"

3. And this is plainly negative:
not positive. For he has no positive clear idea of the largeness of
any extension, (which is that sought for in the idea 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.


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