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This step is not the source of the fallacy.

This step follows from the previous step ((-1)/2 + 3/2 = 1/2 + 3/2) by carrying out the indicated arithmetic.

Of course, we all know that 1=2, but the fallacy is not in this final step; the final step does follow from the previous one.

Therefore, the mistake must have occurred earlier on in the proof.

Why don't you go back to the list of steps in the proof and see if you can identify which one is wrong, now that you know it isn't this one?
This page last updated: May 26, 1998
Original Web Site Creator / Mathematical Content Developer: Philip Spencer
Current Network Coordinator and Contact Person: Joel Chan - mathnet@math.toronto.edu

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