If I mistake not, we are indebted to Bishop Butler for the germ of these views; but Professor Babbage has illustrated them by reference to an extraordinary machine of his own invention, called "The Calculating Engine." It is adapted to perform the most extensive and complicated numerical calculations, of course with absolute certainty, because its parts are arranged by certain laws. And he finds that precisely such effects, on a small scale, can be produced by this machine, as have been imputed above to the divine agency in creation. It is moved by a weight and a wheel which turns at a short interval around its axis, and prints a series of natural numbers,--1, 2, 3, 4, 5, &c.,--each exceeding its antecedent by unity. "Now, reader, let me ask you," says Professor Babbage, "how long you will have counted before you are firmly convinced that the engine, supposing its adjustments to remain unaltered, will continue, whilst its motion is maintained, to produce the same series of natural numbers. Some minds, perhaps, are so constituted that, after passing the first hundred terms, they will be satisfied that they are acquainted with the law. After seeing five hundred terms, few will doubt; and after the fifty thousandth term, the propensity to believe the succeeding term will be fifty thousand and one, will be almost irresistible. That term will be fifty thousand and one; the same regular succession will continue; the five millionth and the fifty millionth term will appear in their expected order, and one unbroken chain of numbers will pass before you, from one up to one hundred millions. True to the vast induction which has thus been made, the next succeeding term will be one hundred millions and one; but after that, the next number presented by the rim of the wheel, instead of being one hundred millions and two, is one hundred millions ten thousand and two.