When particular knowledge about an individual thing or event is thus inferred by comparing two known statements, it is said to be secured by a process of deduction, or by inference.
GENERAL KNOWLEDGE
In all of the above examples, whether experienced through the senses, built up by an act of imagination, or gained by inference, the knowledge is of a single thing, fact, organism, or unity, possessing a real or imaginary existence. In addition to possessing its own individual unity, however, a thing will stand in a more or less close relation with many other things. Various individuals, therefore, enter into larger relations constituting groups, or classes, of objects. In addition, therefore, to recognizing the object as a particular experience, the mind is able, by examining certain individuals, to select and relate the common characteristics of such classes, or groups, and build up a general, or class, idea, which is representative of any member of the class. Thus arise such general ideas as book, man, island, county, etc. These are known as universal, or class, notions. Moreover, such rules, or definitions, as, "A noun is the name of anything"; "A fraction is a number which expresses one or more equal parts of a whole," are general truths, because they express in the form of a statement the general qualities which have been read into the ideas, noun and fraction. When the mind, from a study of particulars, thus either forms a class notion as noun, triangle, hepatica, etc., or draws a general conclusion as, "Air has weight," "Any two sides of a triangle are together greater than the third side," it is said to gain general knowledge.
ACQUISITION OF GENERAL KNOWLEDGE
A. Conception.—In describing the method of attaining general knowledge, it is customary to divide such knowledge into two slightly different types, or classes, and also to distinguish between the processes by which each type is attained. When the mind, through having experienced particular dogs, cows, chairs, books, etc., is able to form such a general, or class, idea as, dog, cow, chair, or book, it is said to gain a class notion, or concept; and the method by which these ideas are gained is called conception.
B. Induction.—When the mind, on the basis of particular experiences, arrives at some general law, or truth, as, "Any two sides of a triangle are together greater than the third side"; "Air has weight"; "Man is mortal"; "Honesty is the best policy"; etc., it is said to form a universal judgment, and the process by which the judgment is formed is called a process of induction.
Examples of General and Particular Knowledge.—When a pupil learns the St. Lawrence River system as such, he gains a particular experience, or notion; when he learns of river basins, he obtains a general notion. In like manner, for the child to realize that here are eight blocks containing two groups of four blocks, is a particular experience; but that 4 + 4 = 8, is a general, or universal, truth. To notice this water rising in a tube as heat is being applied, is a particular experience; to know that liquids are expanded by heat is a general truth. The air above this radiator is rising is a particular truth, but heated air rises is a general truth. The English people plunged into excesses in Charles II's reign after the removal of the stern Puritan rule is particular, but a period of license follows a period of repression is general.
Distinction is in Ideas, not Things.—It is to be noted further that the same object may be treated at one time as a particular individual, at another time as a member of a class, and at still another time as a part of a larger individual. Thus the large peninsula on the east of North America may be thought of now, as the individual, Nova Scotia; at another time, as a member of the class, province; and at still another time, as a part of the larger particular individual, Canada.
Only Two Types of Knowledge.—It is evident from the foregoing that no matter what subject is being taught, so far as any person may aim to develop a new experience in the mind of the pupil, that experience will be one or other of the two classes mentioned above. If the aim of our lesson is to have the pupils know the facts of the War of 1812-14, to study the rainfall of British Columbia, to master the spelling of a particular word, or to image the pictures contained in the story Mary Elizabeth, then it aims primarily to have pupils come into possession of a particular fact, or a number of particular facts. On the other hand, if the lesson aims to teach the pupils the nature of an infinitive, the rule for extracting square root, the law of gravity, the classes of nouns, etc., then the aim of the lesson is to convey some general idea or truth.