When I stop in the addition 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 infinite number of parts is individually the same idea with that of an infinite extension; that no finite extension is capable of containing an infinite number of parts; and consequently that no finite extension is infinitely divisible [Footnote 3.].
[Footnote 3.

It has been objected to me, that infinite divisibility supposes only an infinite number of PROPORTIONAL not of ALIQIOT parts, and that an infinite number of proportional parts does not form an infinite extension.

But this distinction is entirely frivolous.
Whether these parts be calld ALIQUOT or PROPORTIONAL, they cannot be inferior to those minute parts we conceive; and therefore cannot form a less extension by their conjunction.] I may subjoin another argument proposed by a noted author [Mons.
MALEZIEU], which seems to me very strong and beautiful.

It is evident, that existence in itself belongs only to unity, and is never applicable to number, but on account of the unites, of which the number is composed.