The statement is True.
When performing the operation of conversion on an A statement or an O statement, the resulting converse will have the same truth value as the original statement. This is because the conversion simply interchanges the subject and predicate terms of the statement without changing their truth value.
To understand this concept, let's break it down with an example:
Original statement: "All cats are mammals."
Converting this statement to its converse: "All mammals are cats."
In this case, the original statement is an A statement, which is a universal affirmative statement. The subject term "cats" refers to all cats, and the predicate term "mammals" refers to all mammals. The statement is true because all cats are indeed mammals.
Now, when we convert this statement to its converse, we interchange the subject and predicate terms:
Converse statement: "All mammals are cats."
The converse statement is also an A statement. However, the truth value remains the same as the original statement because it is still true that all mammals are cats.
Therefore, the resulting converse has the same truth value as the original statement, and the answer is True.