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Comment by anonhacker | Hacker News Reader

!(0^(0^(0^0))) = 24 ; if you believe 0^0 is 1 that is...

That's not true even under your assertion

    0^0 = 1
    0^(0^0) = 0^1 = 0
    0^(0^(0^0)) = 0^0 = 1
    !(0^(0^(0^0))) = 1! = 1

Indeed. Oops