A Treatise of Human Nature

(Jeff_L) #1

BOOK I PART II


and find the compound idea of extension, aris-
ing from its repetition, always to augment, and
become double, triple, quadruple, &c., till at
last it swells up to a considerable bulk, greater
or smaller, in proportion as I repeat more or
less the same idea. When I stop in the addi-
tion of parts, the idea of extension ceases to
augment; and were I to carry on the addition
in infinitum, I clearly perceive, that the idea
of extension must also become infinite. Upon
the whole, I conclude, that the idea of all infi-
nite number of parts is individually the same
idea with that of an infinite extension; that no
finite extension is capable of containing an infi-
nite number of parts; and consequently that no


finite extension is infinitely divisible^3


(^3) It has been objected to me, that infinite divisibil-
ity supposes only an infinite number ofproportionalnot

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