Elements of Logic Comprising the Doctrine of the Laws And Products of Thought
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109 Middle term in the Sumption is not used in the same extent of meaning as in the Subsumption. There are really four terms. When we have a Subsumption in Particular Quan- tity, so-called, a, for example, Man is mortal ; some rational beings are men ; obviously we cannot conclude : therefore, rational beings are mortal; for we have changed the mean- ing of the Minor term, using it in a wider extent in the Con- clusion, and a narrower in the Subsumption. But commonly, if the Minor term be used ...in a wider extent of meaning in the Subsumption than in the Conclusion, as, Man is mortal ; philosophers are men ; therefore, some philosophers are mortal, we have a valid conclusion, it is true, but a mixed reasoning, as just stated.
Logicians have enounced the comprehensive rule for the conclusion, thus: The Conclusion must always follow the weaker or worser part, the negative and the particular being regarded as the weaker or the worser in respect of the affirm- ative and the universal.
The general relations of the several judgments which com- pose, a Deductive Reasoning to one another, moreover, logi- cians have illustrated to the eye by means of three unequal circles, the largest of which represents the Major term, the smallest the Minor, and the intermediate the Middle term.
What to read after Elements of Logic Comprising the Doctrine of the Laws And Products of Thought?
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To quickly assess the difficulty of the text, read a short excerpt:
109 Middle term in the Sumption is not used in the same extent of meaning as in the Subsumption. There are really four terms. When we have a Subsumption in Particular Quan- tity, so-called, a, for example, Man is mortal ; some rational beings are men ; obviously we cannot conclude : therefore, rational beings are mortal; for we have changed the mean- ing of the Minor term, using it in a wider extent in the Con- clusion, and a narrower in the Subsumption. But commonly, if the Minor term be used ...in a wider extent of meaning in the Subsumption than in the Conclusion, as, Man is mortal ; philosophers are men ; therefore, some philosophers are mortal, we have a valid conclusion, it is true, but a mixed reasoning, as just stated.
Logicians have enounced the comprehensive rule for the conclusion, thus: The Conclusion must always follow the weaker or worser part, the negative and the particular being regarded as the weaker or the worser in respect of the affirm- ative and the universal.
The general relations of the several judgments which com- pose, a Deductive Reasoning to one another, moreover, logi- cians have illustrated to the eye by means of three unequal circles, the largest of which represents the Major term, the smallest the Minor, and the intermediate the Middle term.
What to read after Elements of Logic Comprising the Doctrine of the Laws And Products of Thought?
You can find similar books in the "Read Also" column, or choose other free books by Henry Noble Day to read onlineMoreLess
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