Re: Ok so I just proved 1 = -1. Someone help me find my error.
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So the answer to your question is that you are being inconsistent in how you define sqrt(-1), and if you're consistent in that regard then the problem goes away.
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I believe you, and your answer makes a lot of sense. I've also tried to do the identical "proof" in terms of the generalized complex number r*exp(i*theta) and can't seem to make it work, indicating that my problem lies somewhere with the casual use of i.
One question though. I thought I am using sqrt(-1) = i on both sides of the equation, so wherein lies the inconsistency?
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