3. How we come by the idea of infinity.
Every one that has any idea of any stated lengths of space, as a foot, finds
that he can repeat that idea; and joining it to the former, make the idea of two feet; and by the addition of a third,
three feet; and so on, without ever coming to an end of his additions, whether of the same idea of a foot, or, if he
pleases, of doubling it, or any other idea he has of any length, as a mile, or diameter of the earth, or of the orbis
magnus: for whichever of these he takes, and how often soever he doubles, or any otherwise multiplies it, he
finds, that, after he has continued his doubling in his thoughts, and enlarged his idea as much as he pleases, he has
no more reason to stop, nor is one jot nearer the end of such addition, than he was at first setting out: the power of
enlarging his idea of space by further additions remaining still the same, he hence takes the idea of infinite space.
