and examination. If this blur means a friend beckoning, then careful observation should show certain other traits. If it is a man driving unruly cattle, certain other traits should be found. Let us look and see if these traits are found. Taken merely as a doubt, an idea would paralyze inquiry. Taken merely as a certainty, it would arrest inquiry. Taken as a doubtful possibility, it affords a standpoint, a platform, a method of inquiry.
Pseudo-ideas
Ideas are not then genuine ideas unless they are tools in a reflective examination which tends to solve a problem. Suppose it is a question of having the pupil grasp the idea of the sphericity of the earth. This is different from teaching him its sphericity as a fact. He may be shown (or reminded of) a ball or a globe, and be told that the earth is round like those things; he may then be made to repeat that statement day after day till the shape of the earth and the shape of the ball are welded together in his mind. But he has not thereby acquired any idea of the earth's sphericity; at most, he has had a certain image of a sphere and has finally managed to image the earth after the analogy of his ball image. To grasp sphericity as an idea, the pupil must first have realized certain perplexities or confusing features in observed facts and have had the idea of spherical shape suggested to him as a possible way of accounting for the phenomena in question. Only by use as a method of interpreting data so as to give them fuller meaning does sphericity become a genuine idea. There may be a vivid image and no idea; or there may be a fleeting, obscure image and yet an idea, if that image performs the function of instigating and directing the observation and relation of facts.
Ideas furnish the only alternative to "hit or miss" methods
Logical ideas are like keys which are shaping with reference to opening a lock. Pike, separated by a glass partition from the fish upon which they ordinarily prey, will—so it is said—butt their heads against the glass until it is literally beaten into them that they cannot get at their food. Animals learn (when they learn at all) by a "cut and try" method; by doing at random first one thing and another thing and then preserving the things that happen to succeed. Action directed consciously by ideas—by suggested meanings accepted for the sake of experimenting with them—is the sole alternative both to bull-headed stupidity and to learning bought from that dear teacher—chance experience.
They are methods of indirect attack
It is significant that many words for intelligence suggest the idea of circuitous, evasive activity—often with a sort of intimation of even moral obliquity. The bluff, hearty man goes straight (and stupidly, it is implied) at some work. The intelligent man is cunning, shrewd (crooked), wily, subtle, crafty, artful, designing—the idea of indirection is involved.20 An idea is a method of evading, circumventing, or surmounting through reflection obstacles that otherwise would have to be attacked by brute force. But ideas may lose their intellectual quality as they are habitually used. When a child was first learning to recognize, in some hesitating suspense, cats, dogs, houses, marbles, trees, shoes, and other objects, ideas—conscious and tentative meanings—intervened as methods of identification. Now, as a rule, the thing and the meaning are so completely fused that there is no judgment and no idea proper, but only automatic recognition. On the other hand, things that are, as a rule, directly apprehended and familiar become subjects of judgment when they present themselves in unusual contexts: as forms, distances, sizes, positions when we attempt to draw them; triangles, squares, and circles when they turn up, not in connection with familiar toys, implements, and utensils, but as problems in geometry.
§ 3. Analysis and Synthesis
Judging clears up things: analysis
Through judging confused data are cleared up, and seemingly incoherent and disconnected facts brought together. Things may have a peculiar feeling for us, they may make a certain indescribable impression upon us; the thing may feel round (that is, present a quality which we afterwards define as round), an act may seem rude (or what we afterwards classify as rude), and yet this quality may be lost, absorbed, blended in the total value of the situation. Only as we need to use just that aspect of the original situation as a tool of grasping something perplexing or obscure in another situation, do we abstract or detach the quality so that it becomes individualized. Only because we need to characterize the shape of some new object or the moral quality of some new act, does the element of roundness or rudeness in the old experience detach itself, and stand out as a distinctive feature. If the element thus selected clears up what is otherwise obscure in the new experience, if it settles what is uncertain, it thereby itself gains in positiveness and definiteness of meaning. This point will meet us again in the following chapter; here we shall speak of the matter only as it bears upon the questions of analysis and synthesis.
Mental analysis is not like physical division
Misapprehension of analysis in education
Even when it is definitely stated that intellectual and physical analyses are different sorts of operations, intellectual analysis is often treated after the analogy of physical; as if it were the breaking up of a whole into all its constituent parts in the mind instead of in space. As nobody can possibly tell what breaking a whole into its parts in the mind means, this conception leads to the further notion that logical analysis is a mere enumeration and listing of all conceivable qualities and relations. The influence upon education of this conception has been very great.21 Every subject in the curriculum has passed through—or still remains in—what may be called the phase of anatomical or morphological method: the stage in which understanding the subject is thought to consist of multiplying distinctions of quality, form, relation, and so on, and attaching some name to each distinguished element. In normal growth, specific properties are emphasized and so individualized only when they serve to clear up a present difficulty. Only as they are involved in judging some specific situation is there any motive or use for analyses, i.e. for emphasis upon some element or relation as peculiarly significant.
Effects of premature formulation
The same putting the cart before the horse, the product before the process, is found in that overconscious formulation of methods of procedure so current in elementary instruction. (See p. 60.) The method that is employed in discovery, in reflective inquiry, cannot possibly be identified with the method that emerges after the discovery is made. In the genuine operation of inference, the mind is in the attitude of search, of hunting, of projection, of trying this and that; when the conclusion is reached, the search is at an end. The Greeks used to discuss: "How is learning (or inquiry) possible? For either we know already what we are after, and then we do not learn or inquire; or we do not know, and then we cannot inquire, for we do not know what to look for." The dilemma is at least suggestive, for it points to the true alternative: the use in inquiry of doubt, of tentative suggestion, of experimentation. After we have reached the conclusion, a reconsideration of the steps of the process to see what is helpful, what is harmful, what is merely useless, will assist in dealing more promptly and efficaciously with analogous problems in the future. In this way, more or less explicit method is gradually built up. (Compare the earlier discussion on p. 62 of the psychological and the logical.)
Method comes before its formulation
It is, however, a common assumption that unless the pupil from the outset consciously recognizes and explicitly states the method logically implied in the result he is to reach, he will have no method, and his mind will work confusedly or anarchically; while if he accompanies his performance with conscious statement of some form of procedure (outline, topical analysis, list of headings and subheadings, uniform formula) his mind is safeguarded and strengthened. As a matter of fact, the development of an unconscious logical attitude and habit must come first. A conscious setting forth of the method logically adapted for reaching an end is possible only after the result has first been reached by more unconscious and tentative methods, while it is valuable only when a review of the method that achieved success in a given case will throw light upon a new, similar case. The
