11 May
2011
11 May
'11
9:40 a.m.
You claim that the first sentence is true and the second is false. Why is this any more correct than the claim that the first statement is false and the second statement is true? It's similar to statements like
1. Statement 2 is false 2. Statement 1 is false
You can assign the truth values (T, F) or (F, T) without contradiction.
In either case, the contrapositive of the true statement is false. So, we can assume wlog that the first statement is true, and its contra- positive is false. Sincerely, Adam P. Goucher