An Enquiry Concerning Human UnderstandingHume, David
PhilosophyPhilosophy
An Enquiry Concerning Human Understanding
Hume, David
Ethics; Knowledge, Theory of
[32] Whatever disputes there may be about mathematical points,
we must allow that there are physical points; that is, parts
of extension, which cannot be divided or lessened, either by
the eye or imagination. These images, then, which are present
to the fancy or senses, are absolutely indivisible, and
consequently must be allowed by mathematicians to be infinitely
less than any real part of extension; and yet nothing appears
more certain to reason, than that an infinite number of them
composes an infinite extension. How much more an infinite
number of those infinitely small parts of extension, which are
still supposed infinitely divisible.
125. The absurdity of these bold determinations of the abstract sciences
seems to become, if possible, still more palpable with regard to time
than extension. An infinite number of real parts of time, passing in
succession, and exhausted one after another, appears so evident a
contradiction, that no man, one should think, whose judgement is not
corrupted, instead of being improved, by the sciences, would ever be
able to admit of it.
Yet still reason must remain restless, and unquiet, even with regard to
that scepticism, to which she is driven by these seeming absurdities and
contradictions. How any clear, distinct idea can contain circumstances,
contradictory to itself, or to any other clear, distinct idea, is
absolutely incomprehensible; and is, perhaps, as absurd as any
proposition, which can be formed. So that nothing can be more
sceptical, or more full of doubt and hesitation, than this scepticism
itself, which arises from some of the paradoxical conclusions of
geometry or the science of quantity.[33]
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