In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement. You must identify the new statement and 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 not non-B. (F) Contradiction
A) All A are non-B. (T)
B) Some A are non-B. (T)
C) Some B are not non-A. (F)
D) Some A are non-B. (T).
E) Some A are B. (T)

Question

In each problem below you are given a statement, its truth value in parentheses, and an operation/relation to be performed on that statement.  You must identify the new statement and 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 not non-B. (F) Contradiction
A) All A are non-B. (T)
B) Some A are non-B. (T)
C) Some B are not non-A. (F)
D) Some A are non-B. (T).
E) Some A are B. (T)

Quizplus · Accepted Answer

The original statement is a contradiction, as it asserts that some A are not non-B (i.e. some A are B), but also says that this statement is false. Therefore, any conclusion drawn from this statement would also be a contradiction.

In Each Problem Below You Are Given a Statement, Its