Earlier quoted context omitted.
Aristotle is very very disappointed with your logic, my friend. http://en.wikipedia.org/wiki/Inference#Examples_of_deductive...
I think you've misunderstood his post (or I've misunderstood yours (my friend))). He was saying that the linked website was illogical in using a method to distinguish humans from machines, that most humans would fail at. Grandparent wasn't attempting to construct his own logical argument.
It is an example of "Denying the antecedent", or the inverse error: http://en.wikipedia.org/wiki/Denying_the_antecedent