Page:The Spirit of the Age.djvu/281

Rh in endeavouring to invalidate the principle, instead of confining himself to point out the misapplication of it. There is one argument introduced in this Reply, which will, perhaps, amuse the reader as a sort of metaphysical puzzle.

"It has sometimes occurred to me whether Mr. Malthus did not catch the first hint of his geometrical ratio from a curious passage of Judge Blackstone, on consanguinity, which is as follows:—

"The doctrine of lineal consanguinity is sufficiently plain and obvious; but it is at the first view astonishing to consider the number of lineal ancestors which every man has within no very great number of degrees: and so many different bloods is a man said to contain in his veins, as he hath lineal ancestors. Of these he hath two in the first ascending degree, his own parents; he hath four in the second, the parents of his father and the parents of his mother; he hath eight in the third, the parents of his two grandfathers and two grandmothers; and by the same rule of progression, he hath an hundred and twenty-eight in the seventh; a thousand and twenty-four in the tenth; and at the twentieth degree, or the distance of twenty generations, every man hath above a million of ancestors, as common arithmetic will demonstrate.