ONE:We have here, also, the secret of that elaborate machinery devised for the very unnecessary purpose of converting syllogisms of the second and third figure into syllogisms of the first, which is one of the Stagirites principal contributions to logic. For it is only in the first figure that the notion by which the extremes are either united or held apart is really a middle term, that is to say, really comes between the others. The distinction between perfect and imperfect syllogisms also serves to illustrate Aristotles systematic division between the necessary and the contingent. The method of proof by inclusion corresponds in its unconditioned and independent validity to the concentric arrangement of the supernal spheres; the second and third figures, with their conversions and reductions, to the sublunary sphere in its helpless dependence on380 the celestial revolutions, and its transformations of the elements into one another.It is well for an apprentice to invent or demonstrate all that he canthe more the better; but as explained in a previous place, what is attempted should be according to some system, and with a proper object. Time spent groping in the dark after something of which no definite conception has been formed, or for any object not to fill an ascertained want, is generally time lost. To demonstrate or invent, one should begin methodically, like a bricklayer builds a wall, as he mortars and sets each brick, so should an engineer qualify, by careful study, each piece or movement that is added to a mechanical structure, so that when done, the result may be useful and enduring.
TWO:A little to the north of this town many had been lying wounded in the trenches for over eight days, without being able to get their wounds bandaged. They had to admit the success of the French field artillery, which produced a most serious effect.387
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