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Updated: June 2, 2025
It may be affirmed as a general principle, that all inductions, whether strong or weak, which can be connected by ratiocination, are confirmatory of one another; while any which lead deductively to consequences that are incompatible, become mutually each other’s test, showing that one or other must be given up, or at least more guardedly expressed.
Further, even if we could have ascertained, by the Method of Agreement, that oxygen and hydrogen were both present when water is produced, no experimentation on oxygen and hydrogen separately, no knowledge of their laws, could have enabled us deductively to infer that they would produce water. We require a specific experiment on the two combined.
The conditions of a phenomenon which arises from a composition of causes, may be investigated either deductively or experimentally. The case, it is evident, is naturally susceptible of the deductive mode of investigation.
It is just as real as a realistic novel; but in order to make it so, its author, because he was working deductively, was not obliged to imitate the details of actual life which he had studied. "I have learned something in the world," he says to us: "Here is a fable that will make it clear to you."
They look exceedingly like, when a peep of sunshine falls. Oh, no; not clergymen! She laughed at the suggestion. She might be one of the actresses by nature. Is the man unsympathetic with women a hater of Nature deductively? Most women are actresses. As to worshipping Nature, we go back to the state of heathen beast, Mr. Philosopher Gower could be answered.... Fleetwood drew in his argument.
This principle maybe established inductively from the incomprehensibility of the ultimate scientific ideas, as well as deductively from the nature of intelligence, through an analysis of the product and the process of thought.
Those general laws had not, indeed, at first the acknowledged universality which they acquired after having been successfully employed to explain many classes of phenomena to which they were not originally seen to be applicable; as when the laws of motion were employed, in conjunction with other laws, to explain deductively the celestial phenomena.
In their endeavor to exhibit certain truths of human life, do not the realists work inductively and the romantics deductively?
When this comparison was made, it was found that there was a small difference, which on the average was constant, however the absolute quantities might vary, and which difference, therefore, must be the effect of a constant cause. This cause was afterward ascertained, deductively, to be the rarefaction of the air, occasioned by the increase of temperature as the day advances.
Certainly the religious and moral ideas of the Dodsons and Tullivers were of too specific a kind to be arrived at deductively, from the statement that they were part of the Protestant population of Great Britain.
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