Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: CHAPTER III A DISCUSSION OF THE CONDITIONS FAVORABLE TO GENERAL DISCIPLINE Granted a habit or sequence of ideas certainly formed and persistently recalled, with a stimulus as general as is useful— and the fundamental problem of general disci- . , . Tne tunrta- pline is (i) To what extent can it be earried over mentai into other fields of knowledge and experience? (2) problem To what extent will it be useful to carry it over? and (3) what are the conditions which must be present to make its useful application as probable as possible?42 i. Extent of General Discipline Dependent Upon Recurrence of the General Stimulus Obviously, the extent to which a fixed relationship can carry over into other fields of knowledge and experience than the one in which it is developed, is dependent , , . , ., , .1 ir ... , . . , Academic upon whether or not the usual stimulus is to be systems found there, and whether or not the usual conse- cannot quence or a modified consequence can follow. In the first place, no system of thought as a whole can carry over, though component habits or groups of habits can. The various systems of habits on which the specific discipline of mathematics is based can apply only in the mathematical field. They can become general within that field and apply to physics, chemistry, or engineering, but their application is always mathematical. This is equally true of every other complex system of ideas and activities. Systems are specific—not general—in their usefulness. Mathematics cannot take the place of geography; or geography, of citizenship or industrial efficiency. One systemmay include another or require another to supplement it. One or more mathematical systems are required by each of the sciences and by many branches of industry. Indu... --This text refers to an alternate Paperback edition.