The Improvement of Human Reason - Exhibited in the Life of Hai Ebn Yokdhan by Ibn Tufail
page 64 of 141 (45%)
page 64 of 141 (45%)
![]() | ![]() |
|
terminated on this side which is next to me, is evident to my sight: And
that it cannot be infinitely extended on that opposite side, which rais'd this Scruple in me; I prove thus: Suppose two Lines drawn from the Extremity of this Heavenly Body, on that terminated Side which is next to me, which Lines should be produc'd quite through this Body_, in infinitum, _according to the Extension of the Body; then suppose a long part of one of these Lines, cut off at this End which is next to me; then take the Remainder of what was cut off, and draw down that end of it where it was cut off; And lay it even with the end of the other Line from which there was nothing cut off; and let that Line which was shortned, lye parallel with the other; then suppose them through this Body, till you come to that side which we suppos'd to be infinite: Either you will find both these Lines infinitely extended, and then one of them cannot be shorter than the other, but that which had a part of it cut off, will be as long as that which was not, which is absurd: Or else the Line which was cut will not be so long as that other, and consequently finite: Therefore if you add that part to it which was cut off from it at first, which was finite, the whole will be finite; and then it will be no longer or shorter than that Line which had nothing cut off from it, therefore equal to it; But this is finite, therefore the other is finite. Therefore the Body in which such Lines are drawn is finite; And all Bodies in which such Lines may be drawn, are finite: But such Lines may be drawn in all Bodies. Therefore if we suppose an infinite Body, we suppose an Absurdity and Impossibility._ * * * * * [Illustration 6] * * * * * |
|