A dissertation on the nature and educational value of induction

There are two quite distinct processes by which the mind moves from one acquisition to another in the pursuit of truth, the Inductive and the Deductive process. These processes though distinct, so frequently alternate in any course of thought that it is possible to describe only parts of any prolonged effort in reasoning, as purely inductive or deductive, though the whole may be designated by either of these terms. By saying that any effort in reasoning is inductive or deductive, we mean that in the main, the movement of thought is either inductive, that is passing from particular facts, brought to light in experience, to general truths, or from general truths to particular cases included under the general truths. In any inductive treatment of a subject, there will be found deductive links, and in any deductive treatment the results of induction are constantly used. The inductive mode of reasoning is best and most typically shown in the study of the physical sciences, while the deductive mode is that almost exclusively used and most characteristically set forth in mathematics.
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