But are we to say that nothing is knowledge except what is validly deduced from true premises? Obviously we cannot say this. Such a definition is at once too wide and too narrow. In the first place, it is too wide, because it is not enough that our premises should be “true,” they must also be “known.” The man who believes that Mr. Balfour was the late Prime Minister may proceed to draw valid deductions from the true premise that the late Prime Minister’s name began with a B, but he cannot be said to “know” the conclusions reached by these deductions. Thus we shall have to amend our definition by saying that knowledge is what is validly deduced from “known” premises. This, however, is a circular definition: it assumes that we already know what is meant by “known premises.” It can, therefore, at best define one sort of knowledge, the sort we call derivative, as opposed to intuitive knowledge. We may say: “ Derivative knowledge is what is validly deduced from premises known intuitively.” In this statement there is no formal defect, but it leaves the definition of “intuitive” knowledge still to seek.
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