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I mean I would just point out the Black-Scholes model. It was extremely good but it couldn't predict everything. Things like 6 sigma events are always possible and unpredictable and I think, just as most rational people would, that this could get worry some if it was actual used to predict foreign policy or something similar. However, the information it could find would be very interesting to researchers I would think.
link for those who do not know about this economic model: http://en.wikipedia.org/wiki/Black%E2%80%93Scholes