Question

All poets are dreamers. 
Some dreamers are not realists. 
Therefore, which of the following must be true?

• A. Some poets are not realists.
• B. All dreamers are poets.
• C. Some realists are not poets.
• D. None of the above.

Hint:

Translate logical statements into Venn diagrams or subsets. Be cautious of reversing or generalizing conditional statements unless clearly supported.

Answer 1

The Correct Option is D

The problem asks us to determine which of the given statements must be true based on the premises. Let’s analyze the premises:

1. All poets are dreamers.
2. Some dreamers are not realists.

Based on these statements, let's evaluate each option:

1. Some poets are not realists: The premise that some dreamers are not realists does not necessarily suggest that those dreamers are poets. Therefore, we cannot definitively conclude that some poets are not realists.
2. All dreamers are poets: The premise only states that all poets are dreamers, not that all dreamers are poets. Thus, this is not supported by the given information.
3. Some realists are not poets: While this might appear plausible, the premises do not provide enough information to confirm this statement. We only know that some dreamers are not realists, which does not affect the relationship between realists and poets.
4. None of the above: Given our analysis, none of the first three statements necessarily follow from the premises, making this option correct.

Therefore, the correct answer is: None of the above.