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 objective is to identify which of the provided statements are necessarily true, given the initial conditions. Let's examine the premises:

1. Every poet is a dreamer.
2. A subset of dreamers are not realists.

Using these premises, we will assess each option:

1. Certain poets are not realists: The statement that some dreamers are not realists does not imply that these particular dreamers are poets. Consequently, we cannot definitively assert that some poets are not realists.
2. All dreamers are poets: The premise establishes that all poets are dreamers, but it does not state the converse, that all dreamers are poets. This statement is unsupported.
3. Certain realists are not poets: Although this might seem reasonable, the premises lack sufficient detail to confirm it. We only know that some dreamers are not realists, which has no bearing on the relationship between realists and poets.
4. None of the preceding: Based on our evaluation, none of the first three statements logically follow from the premises, rendering this option the correct choice.

Thus, the correct conclusion is: None of the above.