Hi,
I am a little confused as to why contrapositive arguments apply to logic games. For instance, in the second game why is it impossible for Hall to visit on day 2 without Jones visiting on day 1? (Same with the Lopez on day 5 and Knight on day 4 scenario.) In these scenarios, the rules on the surface seem to be a one-way street.
Thanks in advance!
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One good way to understand why contrapositives apply is to use a simple example. Let's try it with the true statement, "If you are in France, then you are in Europe." We would diagram this statement as follows:
F - > E
Now, we get the contrapositive of a statement by reversing the order of the variables and negating the terms. That would look like this
not E - > not F
"If you are not in Europe, then you are not in France."
Intuitively, we know that to make sense and to be true. But it's more than intuition: it's a logical rule. For any given conditional statement, if it is true then it's contrapositive must also be true.
