[Bork]

I dont think genuine logical contradictions exist as true statements, only a some apparent ones.

Logic only exists in the human mind? No. Firstly dogs use logic without being taught by people. Secondly do you really doubt that if you know, if P then Q, and P, then you can justifiably infer knowledge of Q. It cannot be wrong, it is true in all possible worlds, including ones without humans. Its analagous to 2+2=4 do you believe this is also a manmade thing that isn't true in nature?