This question was on my Philosophy 220A's problem set (homework). I thought the question was kind of neat so I decided to share it with you! Now there's no real correct answer to this question. It can be anything as long as you can prove it. So here it is:
Prove that this statement operator is non-truth functional:
It is logically possible that __________.
A truth functional operator is when you plug in a value (True/False) and it would only spit out one answer: either true or false, never both. A non-truth functional statement operator means that you can give it a value (True/False), and it would come out with two possibilities.
So here's a hint to how to find out prove that this statement operator is non-truth functional:
Give it two values, either both true, or both false, not one of each.
So for one of the values, prove it's true.
For the other value, prove that it's false.
For this statement, I believe it's easy to give it a true and prove that it's a true.
N = Kelly is a unisex name. - TRUE
It is logically possible that N. - TRUE
However, it's tricky to plug in a true and have it spit out a false. So here's another way to think of it:
* Find a statement that is true, but not logically possible.
S = Santa knows who's good or bad. - TRUE
It is logically possible that S. - FALSE