We should distinguish mind from logic. The mind is more general than logic, as you might do something that is unacceptable in the mind of a certain society but the mind of another society sees nothing wrong with it. Logic, however, is detached from the changing reality. For instance, when you say that "up" is the opposite of "down, or the "whole" is bigger than the "part", those are unchanging facts because they are constituents of logic. But if a Muslim says: we should eat using right hand only, this is part of the Muslim mind not the general logic, even though it doesn't oppose it in this example. 

Logic doesn't change, and we can't think without it. Logic is a list of constant facts. Error occurs, if it does, in the process of inferring from the building blocks of logic, as an inference can be logical or erroneous. Inference is part of thinking which might neglect some areas and focus on others and then falls into error. However, logic itself doesn’t err, and who uses logic in thinking is similar to who conducts a scientific experiment. The possibility of error lies in the application of logic, not in logic itself. This is similar to conducting an experiment of a scientifically proven fact, if there was an error it won't be because of the scientifically proven information, but it might be in the timing, sequence of steps, or a neglected element of the experiment etc… .




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