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Updated: May 25, 2025
Accordingly, if we can show that a barbarous custom, like that of the priesthood of Nemi, has existed elsewhere; if we can detect the motives which led to its institution; if we can prove that these motives have operated widely, perhaps universally, in human society, producing in varied circumstances a variety of institutions specifically different but generically alike; if we can show, lastly, that these very motives, with some of their derivative institutions, were actually at work in classical antiquity; then we may fairly infer that at a remoter age the same motives gave birth to the priesthood of Nemi.
When, therefore, it appeared that any of the uniformities which were observed in nature, would result spontaneously from certain other uniformities, no separate act of creative will being supposed necessary for the production of the derivative uniformities, these have not usually been spoken of as laws of nature.
If, after much observation of B, we find that it agrees with A in nine out of ten of its known properties, we may conclude with a probability of nine to one, that it will possess any given derivative property of A. If we discover, for example, an unknown animal or plant, resembling closely some known one in the greater number of the properties we observe in it, but differing in some few, we may reasonably expect to find in the unobserved remainder of its properties, a general agreement with those of the former; but also a difference corresponding proportionately to the amount of observed diversity.
We saw that water may be formulated HOH, and that benzene is C H . Well, carbolic acid or phenol is a derivative of water, or a derivative of benzene, just as you like, and it is formulated C H OH. You can easily prove this by dropping carbolic acid or phenol down a red-hot tube filled with iron-borings.
If they do, the proposition which affirms them to be co-existent is a derivative law of co-existence between effects, and, until resolved into the laws of causation on which it depends, is an empirical law, and to be tried by the principles of induction to which such laws are amenable.
It was natural that the primitive peoples should figure the passions, conditions, virtues, vices, forces, qualities, in some sort of corporal shape, with each a propensity or impulse of its own, but it does not seem to me so natural that the derivative peoples should cease to do so.
It is implied, therefore, in the notion of an empirical law, that it is not an ultimate law; that if true at all, its truth is capable of being, and requires to be, accounted for. It is a derivative law, the derivation of which is not yet known.
In this way we might conclude that, while the imitation of sunshine in these ceremonies was primary and original, the purification attributed to them was secondary and derivative. Such a conclusion, occupying an intermediate position between the two opposing theories and recognising an element of truth in both of them, was adopted by me in earlier editions of this work; but in the meantime Dr.
"Messere, I give you welcome," said Bardo, with some condescension; "misfortune wedded to learning, and especially to Greek learning, is a letter of credit that should win the ear of every instructed Florentine; for, as you are doubtless aware, since the period when your countryman, Manuelo Crisolora, diffused the light of his teaching in the chief cities of Italy, now nearly a century ago, no man is held worthy of the name of scholar who has acquired merely the transplanted and derivative literature of the Latins; rather, such inert students are stigmatised as opici or barbarians according to the phrase of the Romans themselves, who frankly replenished their urns at the fountain-head.
Elementary species differ from their nearest allies by progressive changes, that is by the acquirement of some new character. The derivative species has one unit more than the parent. All other qualities are the same as in the parent. Whenever such a derivative is combined with its parent the result for these qualities will be exactly as in a normal fertilization.
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