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then there is some time left for somebody to
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prevent the cause itself from happening
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and we have an effect with no perceivable cause.
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So, we want to make sure
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that Δt' cannot be reversed
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whenever the first event could be the cause of the second event.
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So, you go and ask this equation:
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if Δt is positive,
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when will Δt' be negative?
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That is simple algebra;
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you want this term to beat that term.
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So, that'll happen if u·Δx--