In short, if the words all and every, with which every page of theoretic mathematics is full, mean what they are conceived by all men to mean, and if the universals which they signify are the proper objects of science, such universals must subsist in the soul prior to the energies of sense. Hence it will follow that induction is no otherwise subservient to science, than as it produces credibility in axioms and petitions; and this by exciting the universal conception of these latent in the soul. The particulars, therefore, of which an induction is made in order to produce science, must be so simple, that they may be immediately apprehended, and that the universal may be predicated of them without hesitation. The particulars of the experimentalists are not of this kind, and therefore never can be sources of science truly so called.
Of this, however, the man of experiment appears to be totally ignorant, and in consequence of this, he is likewise ignorant that parts can only be truly known through wholes, and that this is particularly the case with parts when they belong to a whole, which, as we have already observed, from comprehending in itself the parts which it produces, is called a whole prior to parts. As he, therefore, would by no means merit the appellation of a physician who should attempt to cure any part of the human body, without a previous knowledge of the whole; so neither can he know any thing truly of the vegetable life of plants, who has not a previous knowledge of that vegetable life which subsists in the earth as a whole prior to, because the principle and cause of all partial vegetable life, and who still prior to this has not a knowledge of that greater whole of this kind which subsists in nature herself; nor, as Hippocrates justly observes, can he know any thing truly of the nature of the human body who is ignorant what nature is considered as a great comprehending whole. And if this be true, and it is so most indubitably, with all physiological inquiries, how much more must it be the case with respect to a knowledge of those incorporeal forms to which we ascended in the first part of this Introduction, and which in consequence of proceeding from wholes entirely exempt from body are participated by it, with much greater obscurity and imperfection? Here then is the great difference, and a mighty one it is, between the knowledge gained by the most elaborate experiments, and that acquired by scientific reasoning, founded on the spontaneous, unperverted, and self-luminous conceptions of the soul. The former does not even lead its votary up to that one nature of the earth from which the natures of all the animals and plants on its surface, and of all the minerals and metals in its interior parts, blossom as from a perennial root. The latter conducts its votary through all the several mundane wholes up to that great whole the world itself, and thence leads him through the luminous order of incorporeal wholes to that vast whole of wholes, in which all other wholes are centred and rooted, and which is no other than the principle of all principles, and the fountain of deity itself. No less remarkable likewise, is the difference between the tendencies of the two pursuits, for the one elevates the soul to the most luminous heights, and to that great ineffable which is beyond all altitude; but the other is the cause of a mighty calamity to the soul, since, according to the elegant expression of Plutarch, it extinguishes her principal and brightest eye, the knowledge of divinity. In short, the one leads to all that is grand, sublime and splendid in the universe; the other to all that is little, groveling[14] and dark. The one is the parent of the most pure and ardent piety; the genuine progeny of the other are impiety and atheism. And, in fine, the one confers on its votary the most sincere, permanent, and exalted delight; the other continual disappointment, and unceasing molestation.