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My object in the foregoing pages has been, not to form a theory which may account for those phenomena of the intellect of which they treat, viz. those which characterize inference and assent, but to ascertain what is the matter of fact as regards them, that is, when it is that assent is given to propositions which are inferred, and under what circumstances. I have never had the thought of an attempt which in me would be ambitions and which has failed in the hands of others,—if that attempt may fairly be called unsuccessful, which, though made by the acutest minds, has not succeeded in convincing opponents. Especially have I found myself unequal to antecedent reasonings in the instance of a matter of fact. There are those, who, arguing à priori, maintain, that, since experience leads by syllogism only to probabilities, certitude is ever a mistake. There are others, who, while they deny this conclusion, grant the à priori principle assumed in the argument, and in consequence are obliged, in order to vindicate the certainty of our knowledge, to have recourse to the hypothesis of intuitions, intellectual forms, and the