Induction by analysis concerns hypothesis, observation, and experiment, including Mill’s experimental methods. These topics will receive due attention in the chapters which follow. It will be sufficient to close this discussion with a brief treatment of perfect induction, and traduction. =14. PERFECT INDUCTION.= As has been indicated under simple enumeration, _a perfect induction is one in which the premises enumerate all the instances denoted by the conclusion_. ILLUSTRATIONS: (1) A, B, C, D, and E are all Reactionaries, (All) The members of the committee are A, B, C, D, and E, ∴ (All) The members of the committee are Reactionaries. (2) John, James, Albert, and Peter all have perfect eyesight, John, James, Albert, and Peter are all the boys of my family, ∴ All the boys of my family have perfect eyesight. (3) The first, second, and third groups are up to grade, The first, second, and third groups include all of the children in my room, Hence all the children in my room are up to grade. Because the conclusion of a perfect induction gives nothing new――nothing but what is found in the premises, some claim that the process is practically valueless. From the viewpoint of the discoverer this position is well taken; yet to universalize particular observations puts the knowledge in compact, usable form, and saves one the trouble of returning each time to the consideration of each particular. Thus as a process which leads to verified universals, perfect induction is a _time saver_. In the second place it was the method used by Socrates when he desired to lead up to a definition or some other general truth. The Sophists were given to a careless use of the “inductive hazard”; they were prone to generalize from one or two particulars, or what is worse, to establish a generalization and then attempt to fit the particular instances to it. This led to a superficiality which the Great Pagan Educator abhorred. The fact that perfect induction was the method used by Socrates to counteract the teachings of the Sophists, is sufficient vindication for its use in discouraging the indefensible assumptions of to-day, and in inspiring warrantable generalizations based on accurate observation.