Bell's theorem - for or against Hidden Variables?

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gill1109: In a certain context, local realism implies Bell's inequality. Therefore, if in this context we observe that Bell's inequality is violated, we may deduce that local realism is not true.

I agree.

If A then B.
But, not B.
Therefore, not A !

I'm not quite sure who's more illogical here. It's illogical to deny proof by contradiction - a fundamental tenet of scientific reasoning -, as FreddiFizzx and others are doing. But it might be even more illogical to waste your time arguing about it!