LGBARIDDLE

Let P(m,n) be the statement "m divides n" where the universe of discourse for both variables is the set of positive integers. Which of the following propositions is FALSE?

(a) P(2, 4)
(b) $\exists m \forall n$P(m,n)
(c) $\forall m \forall n$ P(m,n)
(d) $\forall n$ P(1,n)
(e) None of the above

Question

LGBARIDDLE

Let P(m,n) be the statement "m divides n" where the universe of discourse for both variables is the set of positive integers. Which of the following propositions is FALSE?

(a) P(2, 4)
(b) $\exists m \forall n$P(m,n)
(c) $\forall m \forall n$ P(m,n)
(d) $\forall n$ P(1,n)
(e) None of the above

anonymous · Answer

I don't like saying that one divides anything, so I'm going with (e)

lgbasallote · Answer

why not a b c?

anonymous · Answer

Oh, woops, you wanted the FALSE one....
(reading fail)

anonymous · Answer

I think (a) is the only true one, actually.

lgbasallote · Answer

why so?

anonymous · Answer

Like I said, I don't like saying that one divides anything.

anonymous · Answer

Personal preference, I guess.

anonymous · Answer

If I drop that preference, then I suppose (c) is false.

lgbasallote · Answer

hmm is that so..

anonymous · Answer

As I understand it. I could be wrong. I don't usually deal with this sort of stuff.