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CHAPTER FIVE
THE MEANS AND END OF MENTAL TRAINING: THE PSYCHOLOGICAL AND THE LOGICAL
§ 1. Introductory: The Meaning of Logical
Special topic of this chapter In the preceding chapters we have considered (i) what thinking is; (ii) the importance of its special training; (iii) the natural tendencies that lend themselves to its training; and (iv) some of the special obstacles in the way of its training under school conditions. We come now to the relation of logic to the purpose of mental training.
Three senses of term logical
In its broadest sense, any thinking that ends in a conclusion is logical—whether the conclusion reached be justified or fallacious; that is, the term logical covers both the logically good and the illogical or the logically bad. In its narrowest sense, the term logical refers only to what is demonstrated to follow necessarily from premises that are definite in meaning and that are either self-evidently true, or that have been previously proved to be true. Stringency of proof is here the equivalent of the logical.The practical is the important meaning of logical In this sense mathematics and formal logic (perhaps as a branch of mathematics) alone are strictly logical. Logical, however, is used in a third sense, which is at once more vital and more practical; to denote, namely, the systematic care, negative and positive, taken to safeguard reflection so that it may yield the best results under the given conditions. If only the word artificial were associated with the idea56
