The Principles of Logic

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CHAPTER XVI. THE ALLEGED FOURTH FIGURE. * So long as the various figures of the syllogism were dis- tinguished by the mere arrangement of terms rather than by the relations involved in the reasoning, it seemed of the reasonable that there should be a figure to repre- sent every possible arrangement. Consequently to the three figures which we have discussed, and which were all that Aristotle recognized, Galen (131-200 A. D. ) added a fourth. The arrangement of terms in each is as follows : First
... Figure. MP Second Figure. PM Third Figure.
MP Fourth Figure.
PM SM SM MS MS SP SP SP SP The four figures cover every possible permutation of the terms.
Reasoning in the fourth figure outside of exercises in formal logic is extremely rare. Beyond mere questions of whether one class includes or excludes members of another, Three ways it has no significance; and though it is easy to of dealing . / with it. Arrange problems in such a way that they will fall within the figure, they lose most of their meaning when so arranged and seem strained and unnatural.


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