In each problem below, you are given a statement, its truth value in parentheses, and a new statement. You must determine how the new statement is related to the given statement and determine the truth value of the new statement. Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
-All non-A are B. (T) Some non-A are not B.
A) Subalternation. (T)
B) Contraposition. (T)
C) Contradiction. (F)
D) Conversion. (Und.)
E) Contrary. (Und.)

Question

In each problem below, you are given a statement, its truth value in parentheses, and a new statement.  You must determine how the new statement is related to the given statement and determine the truth value of the new statement.  Take the Aristotelian standpoint and assume that ‘A’ and ‘B’ denote things that actually exist.
-All non-A are B. (T) Some non-A are not B.
A) Subalternation. (T)
B) Contraposition. (T)
C) Contradiction. (F)
D) Conversion. (Und.)
E) Contrary. (Und.)

Quizplus · Accepted Answer

The original statement "All non-A are B" is a universal affirmative proposition. The new statement "Some non-A are not B" directly contradicts this, as it asserts that there exists at least one non-A that is not B, which cannot be true if all non-A are B.

In Each Problem Below, You Are Given a Statement, Its