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To try to make this, otherwise trivial, thread a little more exciting, let me mention that it is possible to divide by the additive identity (zero) and that's in the case of the trivial field (a field that consists only a single element). In that case, 1 = 2 = 1 + 1, and so there is no contradiction.
Incidentally, if I recall correctly, there are simpler versions of this fallacy. Where did you find this, Slavakion?
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