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If the theories of heat, cohesion, crystallization, and chemical action are destined, as there can be little doubt that they are, to become deductive, the truths which will then be regarded as the principia of those sciences would probably, if now announced, appear quite as novel as the law of gravitation appeared to the contemporaries of Newton; possibly even more so, since Newton’s law, after all, was but an extension of the law of weight—that is, of a generalization familiar from of old, and which already comprehended a not inconsiderable body of natural phenomena.
The law itself is proved by the Method of Difference, since flesh completely dried and kept in a dry atmosphere does not putrefy, as we see in the case of dried provisions, and human bodies in very dry climates. A deductive explanation of this same law results from Liebig’s speculations.
Thus deductive reasoning proceeds on the assumption of the correctness of certain hypotheses or suppositions with which it sets out: it is not concerned with the truth or falsity of those suppositions, but only with the question as to what results must necessarily follow supposing them to be true.
In an age in which chemistry itself, when attempting to deal with the more complex chemical sequences—those of the animal or even the vegetable organism—has found it necessary to become, and has succeeded in becoming, a Deductive Science, it is not to be apprehended that any person of scientific habits, who has kept pace with the general progress of the knowledge of nature, can be in danger of applying the methods of elementary chemistry to explore the sequences of the most complex order of phenomena in existence.
But the grand agent for transforming experimental into deductive sciences, is the science of number. The properties of numbers, alone among all known phenomena, are, in the most rigorous sense, properties of all things whatever. All things are not coloured, or ponderable, or even extended; but all things are numerable.
Since it is only in questions of pure number that the assumptions are exactly true, and even there, only so long as no conclusions except purely numerical ones are to be founded on them; it must, in all other cases of deductive investigation, form a part of the inquiry, to determine how much the assumptions want of being exactly true in the case in hand.
And if also it must be admitted that these studies could not fail to be one-sided, yet it cannot be denied that Proudhon proceeded in a way incomparably more correct than most social philosophers have done either before or since, for they have built up their systems generally by deductive and dogmatic methods.
Scottish literature of the eighteenth century failed to destroy this illiberality owing to the method of the Scotch philosophers. The school which arose was in reaction against the dominant theological spirit; but its method was deductive not inductive. Now, the inductive method, which ascends from experience to theory is anti-theological.
"I see that Holden has the same gift. What does he mean by 'others'? Who is Capella bringing with him?" "Witnesses," volunteered Winter. "Just so; but witnesses in what cause?" "How the how can I tell?" "By applying your borrowed logic. Try the deductive reasoning you flung at me a while ago." "I don't quite know what 'deductive' means," was the sulky admission.
The case, it is evident, is naturally susceptible of the deductive mode of investigation. The law of an effect of this description is a result of the laws of the separate causes on the combination of which it depends, and is therefore in itself capable of being deduced from these laws. This is called the method
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