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G130

ment, which formerly seemed to me to be irresistible, proves, after all, no more than that we must not allow ourselves to accept a suggestion of retroduction, however plausible, as certain or even particularly likely. The retroduction in this case is as follows, first, the idea of a straight line is surprisingly difficult to define, and seems to be required to define a circle or a curve of any order, or any transcendental curve, or any interrupted line. Now, secondly, if the concept of a straight line is of itself involved in every concept of another kind of line, this would explain that impression of simplicity which it makes upon us, as well as the necessity of introducing the idea into the de-

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