THREE:Turning from sense to reason, Carneades attacks the syllogistic process on grounds already specified in connexion150 with the earlier Sceptics; and also on the plea that to prove the possibility of syllogism is itself to syllogise, and thus involves either a petitio principii or a regress ad infinitum.235 Such a method is, of course, suicidal, for it disproves the possibility of the alleged disproof, a consideration which the Stoics did not fail to urge, and which the later Sceptics could only meet by extending the rule of suspense to their own arguments against argument.236 Nevertheless the sceptical analysis detected some difficulties in the ordinary theory of logic, which have been revived in modern times, and have not yet received any satisfactory solution. Sextus Empiricus, probably copying an earlier authority, it may be Carneades himself, observes that, as the major premise of every syllogism virtually contains the minor, it is either superfluous, or assumes the proposition to be proved. Thus we argue that Socrates is an animal because he is a man, and all men are animals. But if we do not know this latter proposition to be true in the case of Socrates, we cannot be sure that it is true in any case; while if we know it to be true in his case, we do not need to begin by stating it in general terms. And he also attempts to show the impossibility of a valid induction by the consideration, since so often urged, that to generalise from a limited number of instances to a whole class is unsafe, for some of the unknown instances may be contradictory, while the infinite, or at least indefinite multiplicity of individuals precludes the possibility of their exhaustive enumeration.237
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Aliquam aut tenetur, amet earum quia eligendi obcaecati. Repudiandae id illum, vero iste enim reprehenderit quaerat, harum pariatur ipsa nulla tempora ex ratione illo assumenda libero ea, delectus vitae, expedita optio porro.
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Aliquam aut tenetur, amet earum quia eligendi obcaecati. Repudiandae id illum, vero iste enim reprehenderit quaerat, harum pariatur ipsa nulla tempora ex ratione illo assumenda libero ea, delectus vitae, expedita optio porro.
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Aliquam aut tenetur, amet earum quia eligendi obcaecati. Repudiandae id illum, vero iste enim reprehenderit quaerat, harum pariatur ipsa nulla tempora ex ratione illo assumenda libero ea, delectus vitae, expedita optio porro.
ONE:32
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."Well, I will. From the very first the mystery has developed exactly on the lines laid down in that skeleton story I told you of. My locale was the corner house, and the plot started there. Did I not forecast all about the Spaniard and the lights going out and everything. It is easy when you know how it is done. Therefore I was quite prepared for the next move."
ONE:That same afternoon also I made the acquaintance of the editor of a local weekly, De Bilsenaar, which was not allowed to appear during the occupation of the place by the Germans. He and others had a great many things to tell me.
