quote:

**The Stew Boy wrote**:

At least one of these sentences is incorrect.

At least two of these sentences are incorrect.

At least three of these sentences are incorrect.

All four of these sentences are incorrect.

Which ones are correct?

Your first and second sentences are correct, the second and third are incorrect (for a total of two correct and two incorrect sentences).

In my puzzle, I'm using the version of "

If A then B"

that most logicians use, which is as follows:

-When A and B are true, "

If A then B"

is true ("

If Beethro's brave then he smites roaches"

is a true statement).

-When A is false and B is true, "

If A then B"

is true ("

If Beethro is a goblin, then Beethro smites roaches"

is still a true statement since Beethro smites roaches regardless of the fact that he's not a goblin).

-When A is false and B is false, "

If A then B"

is true ("

If Beethro's a coward, then I'm Robert DeNiro"

is a vacuously true statement since Beethro isn't a coward).

-When A is true and B is false, "

If A then B"

is false ("

If Beethro smites roaches, then Beethro is a coward"

is a false statement).

In other words, "

If A then B"

is equivalent to "

Either A is false or B is true"

Here's a basic hint for solving the puzzle:

Click here to view the secret text

×

People have analyzed what would happen if if the second sentence were true, and concluded that's impossible. But what can you conclude if the second statement is *false*?

Here's a version of the same statements without using the "

ifs"

, which makes it a lot easier:

Click here to view the secret text

×

Either this statement is true and this statement is false, or this statement is not true nor is it false.

Either this statement is false, the previous statement is false, and the next statement is true, or the previous statement is true.

Either I don't absolutely love apples or I absolutely love bannanas.

____________________________

Yes, I very rarely post. But I DO keep coming back to check the forum.

*[Last edited by MartianInvader at 12-14-2005 06:36 AM]*