Given D: Proposition No honest man is untrustworthy - Every honest man is trustworthy. 46. With reference to the Given D proposition, which one is the correct pattern? a. E obverts to A b. I obverts to O c. A obverts to E d. O obverts to I
Question
Given D: Proposition No honest man is untrustworthy - Every honest man is trustworthy. 46. With reference to the Given D proposition, which one is the correct pattern? a. E obverts to A b. I obverts to O c. A obverts to E d. O obverts to I
Solution
To determine the correct pattern for obverting the proposition in Given D, we need to understand the obversion rules.
The obversion of a universal affirmative proposition (A) is obtained by changing the predicate term and adding the negation of the predicate. In this case, the proposition "Every honest man is trustworthy" is a universal affirmative proposition (A).
So, to obvert this proposition, we need to change the predicate term "trustworthy" and add the negation of the predicate. The negation of "trustworthy" is "untrustworthy". Therefore, the obverted proposition would be "Every honest man is untrustworthy".
Now, let's look at the options provided:
a. E obverts to A: This option is incorrect because the original proposition is an A proposition, not an E proposition.
b. I obverts to O: This option is incorrect because the original proposition is not an I proposition.
c. A obverts to E: This option is correct because the original proposition is an A proposition, and its obversion is an E proposition.
d. O obverts to I: This option is incorrect because the original proposition is not an O proposition.
Therefore, the correct pattern for obverting the proposition in Given D is option c. A obverts to E.
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