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. 1899 Excerpt: ...By Contraposition: "No not-virtuous men are really happy." 2. Give the Converse, the Obverse and the Contrapositive of the following propositions: --(a) The longest road comes to an end; (b) Unasked advice is seldom acceptable. (Each of these propositions must first be reduced to logical form.) (a) This sentence=" The ...
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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. 1899 Excerpt: ...By Contraposition: "No not-virtuous men are really happy." 2. Give the Converse, the Obverse and the Contrapositive of the following propositions: --(a) The longest road comes to an end; (b) Unasked advice is seldom acceptable. (Each of these propositions must first be reduced to logical form.) (a) This sentence=" The longest road'is limited." This is a universal affirmative. Its Converse is: "Some (one) limited thing is the longest road." Its Obverse is: "The longest road is not unlimited." its Contrapositive is: "No unlimited thing is the longest road." (6) This sentence=" Some unaslwd advice is unacceptable." This is a particular affirmative proposition. Its Converse is: "Amongst (some) unacceptable things is unasked advice." Its Obverse is: "Some unasked advice is not acceptable." The sentence being an I proposition it has no contrapositive. 3. Convert and contraposit the proposition, "For every wrong there is a legal remedy." The proposition reduced to logical form is: "Every wrong is capable of a legal remedy." Its converse is: "Some things capable of legal remedy are wrongs." Its contrapositive is: "Nothing incapable of legal remedy is a wrong." 4. What eductions are possible from the proposition, "Amethysts are precious stones "? (N.B.--" Eduction " is a term frequently used for "Immediate inference.") The given proposition is a universal affirmative, "All amethysts are precious stones," and may be treated as the proposition in the first-worked example. EXERCISES ON CHAPTER VIII. 1. Explain and illustrate by examples the difference between the converse and Oie contradictory of a proposition; a...
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