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Indeed we have always thought that Mr. Darwin has unnecessarily hampered himself by adhering so strictly to his favourite "Natura non facit saltum." We greatly suspect that she does make considerable jumps in the way of variation now and then, and that these saltations give rise to some of the gaps which appear to exist in the series of known forms.
Perhaps the reader may feel inclined to say with the Irishman that all this is "as dry as ditch-water," but he will see before long that it has a good deal to do with ourselves. For the present what I want him to realize by a few examples is the mathematical accuracy of Law. The value of these examples lies in their illustration of the fact that the Law can always be trusted to lead us on to further knowledge. We see it working under known conditions, and relying on its unchangeableness, we can then logically infer what it will do under other hypothetical conditions, and in this way many important discoveries have been made. For instance it was in this way that Mendeléef, the Russian chemist, assumed the existence of three then unknown chemical elements, now called Scandium, Gallium and Germanium. There was a gap in the orderly sequence of the chemical elements, and relying on the old maxim "Natura nihil facit per saltum" Nature nowhere leaves a gap to jump over he argued that if such elements did not exist they ought to, and so he calculated what these elements ought to be like, giving their atomic weight, chemical affinities, and the like; and when they were discovered many years later they were found to answer exactly to his description. He prophesied, not by guesswork, but by knowledge of the Law; and in much the same way radium was discovered by Professor and Madame Curie. In like manner Hertz was led to the discovery of the electro-magnetic waves. The celebrated mathematician Clerk-Maxwell had calculated all particulars of these waves twenty-five years before Hertz, on the basis of these calculations, worked out his discovery. Again, Neptune, the outermost known planet of our system was discovered by the astronomer Galle in consequence of calculations made by Leverrier. Certain variations in the movements of the planets were mathematically unaccountable except on the hypothesis that some more remote planet existed. Astronomers had faith in mathematics and the hypothetical planet was found to be a reality. Instances of this kind might be multiplied, but as the French say "
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