Page:O. F. Owen's Organon of Aristotle Vol. 2 (1853).djvu/166

 not admit this, we must assume it through induction, proposing contraries particularly, for we must assume the necessary propositions either through syllogism, or through induction, or some by induction, but others by syllogism; such however as are very perspicuous, we shall propose (straightway), for the result is always more obscure in receding and induction; and at the same time, it is easy for him to propose those which are useful, who cannot assume them in that way. Such as have been enumerated besides these, we must assume for the sake of these, but use each in this way; inducing from singulars to the universal, and from things known to those unknown; those however are more known, which are according to sense, either simply, or to the multitude. He however who conceals, must prove by pro-syllogisms those things through which there will be a syllogism of the original (proposition), and these as many as possible, which will happen if a person not only collects syllogistically, necessary propositions, but some one from among such as are useful to these. Again, we ought not to mention the conclusions, but afterwards conclude them in a body; for thus he (the interrogator) will recede farthest from the original thesis. In a word, it is requisite that he who secretly interrogates, should so question, that when the whole assertion has been questioned, and the conclusion is announced, it may be asked why it is so. Now this will be particularly done through the before-mentioned mode, for when the last conclusion only is mentioned, it will not be evident how it results, from the respondent not foreseeing from what the inference would be drawn, the previous syllogisms not having been dissected, but the syllogism of the conclusion would be least of all dissected, when we do not lay down its assumptions, but those by which the syllogism arises.

Moreover, it is useful to take the axioms from which the syllogisms arise, not continuously, but