Items related to Studies in deductive logic
Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1880 edition. Excerpt: ...at will can also be vicious at will; Men can be virtuous at will; Therefore, they can be vicious at will. 3. Logic is indeed worthy of being cultivated, if Aristotle is to be regarded as infallible; but he is not: Logic, therefore, is not worthy of being cultivated. w.j Clearly a false hypothetical syllogism. The antecedent is,' if Aristotle is to be regarded as infallible '; this is denied in the minor premise. In the categorical form the pseudoargument might be stated somewhat as follows:--Those who regard Aristotle as infallible must consider logic worthy of being cultivated; We do not regard Aristotle as infallible; Therefore, we do not consider logic, &c. There is Illicit Process of the Major Term. 4. We are bound to set apart one day in seven for religious duties, if the fourth commandment is obligatory on us: but we are bound to set apart one day in seven for religious duties; and hence it appears that the fourth commandment is obligatory on us. w. The antecedent is 'if the fourth commandment is obligatory '; the consequent is 'we are bound, &c.'; it is the consequent which is affirmed, so that the argument involves the Fallacy of Affirming the Consequent. It may be put categorically as follows: Those on whom the fourth commandment is obligatory are bound, &c.; we are bound, &c.; therefore, we are among those on whom the fourth commandment is obligatory. The fallacy is evidently that of Undistributed Middle, the pseudo-mood being A A A in the second figure. 5. (1) If the prophecies of the Old Testament had been written without knowledge of the events of the time of Christ, (2) they could not correspond with them exactly; (3) and if they had been forged by Christians, (4) they would not be preserved and acknowledged by the Jews: (5) they...
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