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Updated: June 10, 2025
This error will naturally be oftener committed in our ratiocinations than in our direct inductions, because in the former we are deciphering our own or other people’s notes, while in the latter we have the things themselves present, either to the senses or to the memory.
By such ratiocinations from the separate laws of the causes, we may, to a certain extent, succeed in answering either of the following questions: Given a certain combination of causes, what effect will follow? and, What combination of causes, if it existed, would produce a given effect?
"I tell you, Andy," says Mack, with a kind of sigh, "I never had the least amount of intersection with their predispositions. Maybe I might have had a proneness in respect to their vicinity, but I never took the time. I made my own living since I was fourteen; and I never seemed to get my ratiocinations equipped with the sentiments usually depicted toward the sect.
No doubt the little servant had broken the strict letter of domestic law by running off in that highly eccentric and inconvenient way; but, as Hilary tried to explain by a series of most ingenious ratiocinations, she had fulfilled, in the spirit of it, the very highest law that of charity.
'There are principles, he says, 'independent of reasoning, in the mind which save it from the occasional follies of all our ratiocinations'; or rather, as he explains, which underlie all reasoning. It is an 'intuition' simply because it cannot be further analysed. It does not allow us to pass a single step beyond experience; it merely authorises us to interpret experience.
Perhaps it was not surprising that a young man brought up in such an atmosphere, should have fallen a prey at Oxford, to the frenzies of religious controversy; that he should have been driven almost out of his wits by the ratiocinations of W. G. Ward; that he should have lost his faith; that he should have spent the rest of his existence lamenting that loss, both in prose and verse; and that he should have eventually succumbed, conscientiously doing up brown paper parcels for Florence Nightingale.
If all ratiocinations resembled, as to the minor premiss, the examples which were exclusively employed in the preceding chapter; if the resemblance, which that premiss asserts, were obvious to the senses, as in the proposition “Socrates is a man,” or were at once ascertainable by direct observation; there would be no necessity for trains of reasoning, and Deductive or Ratiocinative Sciences would not exist.
If, as laid down in the two preceding chapters, the foundation of all sciences, even deductive or demonstrative sciences, is Induction; if every step in the ratiocinations even of geometry is an act of induction; and if a train of reasoning is but bringing many inductions to bear upon the same subject of inquiry, and drawing a case within one induction by means of another; wherein lies the peculiar certainty always ascribed to the sciences which are entirely, or almost entirely, deductive?
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