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The Selections from the Principles of Philosophy by René Descartes
page 37 of 104 (35%)
ourselves no concern to reply to those who demand whether the half
of an infinite line is also infinite, and whether an infinite number
is even or odd, and the like, because it is only such as imagine
their minds to be infinite who seem bound to entertain questions of
this sort. And, for our part, looking to all those things in which
in certain senses, we discover no limits, we will not, therefore,
affirm that they are infinite, but will regard them simply as
indefinite. Thus, because we cannot imagine extension so great that
we cannot still conceive greater, we will say that the magnitude of
possible things is indefinite, and because a body cannot be divided
into parts so small that each of these may not be conceived as again
divided into others still smaller, let us regard quantity as
divisible into parts whose number is indefinite; and as we cannot
imagine so many stars that it would seem impossible for God to
create more, let us suppose that their number is indefinite, and so
in other instances.

XXVII. What difference there is between the indefinite and the
infinite.

And we will call those things indefinite rather than infinite, with
the view of reserving to God alone the appellation of infinite; in
the first place, because not only do we discover in him alone no
limits on any side, but also because we positively conceive that he
admits of none; and in the second place, because we do not in the
same way positively conceive that other things are in every part
unlimited, but merely negatively admit that their limits, if they
have any, cannot be discovered by us.

XXVIII. That we must examine, not the final, but the efficient,
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