Because a person is more than a personality: a person includes a body, for example. Of course, whether you have any personality at all after the zapping, and whether intellect is also new, depends on the kind of zapping!
If I zapped someone's brain I don't think my personality would change (although it would have to change beforehand to make me consider such a thing). What… you mean that's not what you meant? I think it depends on the definition of "zap".
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Err... why do you ask?
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