Posted by **Anonymous** on Sunday, December 28, 2008 at 9:16pm.

I need to know if these two statements are independent:

All winners are losers.

All losers are winners.

I am thinking that they are because I don't see that the truth or falsity of one tells anything about the truth or falsity of the other.

Also, if "Some Americans are children" is false, is the statement "Some nonchildren are nonAmericans" true, false, or undetermined.

I know that the statements are not logically equivalent, but I don't know what that says about the contrapositive in terms of truth value.

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