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ANALOGY (Gr. avaXo-yLa, proportion)

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Originally appearing in Volume V01, Page 912 of the 1911 Encyclopedia Britannica.
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ANALOGY (Gr. avaXo-yLa, proportion)  , a See also:term signifying, (t) in See also:general, resemblance which falls See also:short of See also:absolute similarity or identity . Thus by See also:analogy, the word " loud," originally applied to sounds, is used of garments which obtrude themselves on the See also:attention; all See also:metaphor is thus a See also:kind of analogy . (2) See also:Euclid used the term for proportionate equality; but in See also:mathematics it is now obsolete except in the phrase, " See also:Napier's Analogies " in spherical See also:trigonometry (see NAPIER, See also:JOHN) . (3) In See also:grammar, it signifies similarity in the dominant characteristics of a See also:language, derivation, See also:orthography and so on . (4) In See also:logic, it is used of arguments by inference from resemblances between known particulars to other particulars which are not observed . Under the name of " example " (srapadetyga) the See also:process is explained by See also:Aristotle (See also:Prior Anal. ii . 4) as an See also:ANALYSIS inference which differs from See also:induction (q.v.) in having a particular, not a general, conclusion; i.e. if A is demonstrably like B in certain respects, if may be assumed to be like it in another, though the latter is not demonstrated . See also:Kant and his followers See also:state the distinction otherwise, i.e. induction argues from the See also:possession of an attribute by many members of a class that all members of the class possess it, while analogy argues that, because A has some of B's qualities, it must have them all (cf . See also:Sir Wm . See also:Hamilton, Lectures on Logic, ii . 165-174, for a slight modification of this view) . J .

S . See also:

Mill very properly rejects this artificial distinction, which is in practice no distinction at all; he regards induction and analogy as generically the same, though differing in the See also:demonstrative validity of their See also:evidence, i.e. induction proceeds on the basis of scientific, causal connexion, while analogy, in See also:absence of See also:proof, temporarily accepts a probable See also:hypothesis . In this sense, analogy may obviously have a universal conclusion . This type of inference is of the greates value in See also:physical See also:science, which has frequently and quite legiti mately used such conclusions until a negative instance has disproved or further evidence confirmed them (for a See also:list of typical cases see T . See also:Fowler's edition of See also:Bacon's Nov . Org . Aph. ii . 27 See also:note) . The value of such inferences depends on the nature of the resemblances on which they are based and on that of the See also:differences which they disregard . If the resemblances are small and unimportant and the differences See also:great and fundamental, the See also:argument is known as " False Analogy." The subject is dealt with in See also:Francis Bacon's Novum Organum, especially ii . 27 (see T . H .

Fowler's notes) under the See also:

head of Instantiae conformes sive proportionatae . Strictly the argument by analogy is based on similarity of relations between things, not on the similarity of things, though it is, in general; extended to See also:cover the latter . See See also:works on Logic, e.g . J . S . Mill, T . H . Fowler, W . S . See also:Jevons . For See also:Butler's Analogy-and its method see BUTLER, See also:JosEPH . The term was used in a See also:special sense by Kant in his phrase, "Analogies of Experience," the third and most important See also:group in his See also:classification of the a priori elements of knowledge .

By it he understood the fundamental See also:

laws of pure natural science under the three heads, substantiality, causality, See also:reciprocity (see F . See also:Paulsen, I . Kant, Eng. trans . 1902, pp . 188 ff.) .

End of Article: ANALOGY (Gr. avaXo-yLa, proportion)
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