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See also:INDUCTION (from See also:Lat. inducere, to See also:lead into; cf. Gr. ilrayu yli)
, in See also:logic, the See also:term applied to the See also:process of discovering principles by the observation and See also:combination of particular instances
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See also:Aristotle, who did so much to establish the See also:laws of deductive reasoning, neglected See also:induction, which he identified with a See also:complete enumeration of facts; and the schoolmen were wholly concerned with syllogistic logic
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A new era opens with See also: His work was intended mainly to reduce the See also:procedure of induction to a See also:regular See also:demonstrative system like that of the syllogism; and it was for this purpose that he formulated his famous Four Methods of Experimental Inquiry . His work has contributed greatly to the systematic treatment of induction . But it must be remarked that his Four Methods are not methods of formal See also:proof, as their author supposed, but methods whereby hypotheses are suggested or tested . The .actual proof of an See also:hypothesis is never formal, but always lies in the tests of experiment or observation to which it is subjected . The current theory of induction as set forth in the See also:standard See also:works is so far satisfactory that it combines the merit of Whewell's treatment with that of Mill's; and yet it is See also:plain that there is much for the logician of the future to accomplish . The most important See also:faculty in scientific inquiry is the faculty of suggesting new and valuable hypotheses . But no one has ever given any explanation how the hypotheses arise in the mind: we attribute it to " See also:genius," which, of course, is no explanation at all . The logic of See also:discovery, in the higher sense of the term, simply has no existence . Another important but neglected See also:province of the subject is the relation of scientific induction to the inductions of everyday life . There are some who think that a study of this relation would quite transform the accepted view of induction . Consider such a piece of reasoning as may be heard any See also:day in a See also:court of See also:justice, a detective who explains how in his See also:opinion a certain See also:burglary was effected . If all reasoning is either deductive or inductive, this must be induction . And yet it does not See also:answer to the accepted See also:definition of induction, " the process of discovering a See also:general principle by observation of particular instances ": what the detective does is to reconstruct a particular See also:crime; he evolves no general principle . Such reasoning is used by every See also:man in every See also:hour of his life: by it we understand what See also:people are doing around us, and what is the meaning of the sense-impressions which we receive . In the logic of the future it will probably be recognized that scientific induction is only one See also:form of this universal constructive or reconstructive faculty . Another most important question closely akin to that just mentioned is the true relation between these reasoning processes and our general life as active intelligent beings . How is it that the detective is able to understand the burglar's See also:plan of See also:action?—the military See also:commander to forecast the enemy's plan of See also:campaign ? Primarily, because he himself is capable of making such plans . Men as active creatures co-operating with their See also:fellow-men are incessantly engaged in forming plans and in apprehending the plans of those around them . Every plan may be viewed as a form of induction; it is a See also:scheme invented to meet a given situation, an hypothesis which is put to the test of events, and is verified or refuted by practical success or failure . Such considerations widen still farther our view of scientific induction and help us to understandits relation to See also:ordinary human thought and activity . The scientific investigator in his inductive See also:stage is endeavouring to make out the plan on which his material is constructed . The phenomena serve as indications to help him in framing his hypothesis, generally a guess at first, which he proceeds to verify by experiment and the collection of additional facts . In the deductive stage he assumes that he has made out the plan and can apply it to the discovery of further detail . He has the capacity of detecting plans in nature because he is wont to form plans for practical purposes . There are See also:good See also:recent accounts of induction in Welton's See also:Manual of Logic, ii., in H . W . B . See also:Joseph's Introduction to Logic, and in W . R . See also:Boyce See also:Gibson's Problem of Logic; see also See also:Lock . (H . |
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