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 | | We examine, for example, the process of thought (statements and demonstrations) by which we are conducted to the conclusion, that the square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of its two sides. |
 | | To develop, that is, determine, define, and elucidate these laws, and thus present universal criteria of valid and invalid procedures of the intelligence, when the object of such procedure is truth, is, as we understand the subject, the true and exclusive sphere and aim of logic as a science. |
 | | When one conception is thought of as excluded from the sphere of another conception, as in the judgment, "Mind is not matter," the former substance being thought of as excluded from the sphere or class of material substances, the judgments in that case is called negative. |
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