[A Treatise of Human Nature by David Hume]@TWC D-Link book
A Treatise of Human Nature

PART II
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When geometry decides anything concerning the proportions of quantity, we ought not to look for the utmost precision and exactness.

None of its proofs extend so far.

It takes the dimensions and proportions of figures justly; but roughly, and with some liberty.

Its errors are never considerable; nor would it err at all, did it not aspire to such an absolute perfection.
I first ask mathematicians, what they mean when they say one line or surface is EQUAL to, or GREATER or LESS than another?
Let any of them give an answer, to whatever sect he belongs, and whether he maintains the composition of extension by indivisible points, or by quantities divisible in infinitum.

This question will embarrass both of them.
There are few or no mathematicians, who defend the hypothesis of indivisible points; and yet these have the readiest and justest answer to the present question.


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