I think you might be taking the limitations of the brain a bit too literally. (Although I might be misreading what you said.)
The mind is what the brain does, and the mind is what matters. Individual connections between neurons aren't particularly important. Frequently, if some part of the brain is damaged, other parts of the brain can adjust and pick up the slack.
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"A dead thing can go with the stream, but only a living thing can go against it." --G. K. Chesterton