An instrument has actually been made which was competent to effect the solution of quadratic equations whose roots are real. One has also been made capable of effecting the determination of the real roots of any equation. It is perfectly conceivable that an instrument could be made which should go on finding the real roots only, for a measured time, and then by a prearranged and provided method should suddenly, by the very laws and principles of its construction, so change, that for another period, or for evermore, it should also determine the imaginary roots. Is it not conceivable that infinite resource, infinite wisdom, infinite prevision and power could in a manner which this illustration only suggests have caused the non-vital universe to become in some parts vital? Could not infinite power, infinite wisdom, the originator of all that we call material phenomena, have prevised and preordered, in the impenetrable mystery of ‘the beginning,’ that the creative laws of evolution for an inorganic world, should, as they brought about the completion of their perfect purpose, have carried with them from that ‘beginning’ preordered potentialities, that should, by the primal volition of the Creator, emerge, as an inevitable and orderly sequence, into the operation of higher activities and new laws? If that may not be, it is not a divine being that is in our thought. But if that may be, then the self-acting laws of nature are self-acting, as the products of eternal mind and will. Each self-acting phenomenon is, to us, an embodied thought of God; emerging in matter now, as a consequence of the sublimity and perfection of the methods divinely willed ‘in the beginning.’ Let this illustration weigh for what it will; this at least is clear, that the mechanical philosophy, whether or not it refuses to be called ‘material,’ has proved its formula incompetent. Atomic matter without property, affected by motion, with persistent relations between the matter and the motion, can no more account for the universe even up to the point of the origin of the lowest life, than the vibrations of a musical chord can account for the joy begotten of music.