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.
-Some A are B. (F) Some A are not B.
A) Subcontrary. (Und.)
B) Conversion. (F)
C) Contradiction. (T)
D) Conversion. (T)
E) Subcontrary. (T)

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.
-Some A are B. (F) Some A are not B.
A) Subcontrary. (Und.)
B) Conversion. (F)
C) Contradiction. (T)
D) Conversion. (T)
E) Subcontrary. (T)

Quizplus · Accepted Answer

The statement "Some A are B" is false, but this means that it is possible for there to be no overlap between A and B (i.e. it is undetermined whether some A are not B). Therefore, the correct relationship is subcontrary, and the statement "Some A are not B" could be true or false.

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