Mathematical logic and proof theory (a branch of mathematical
logic) for proof
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This 'proof' is a well known mathematical fallacy that is
actually proving that:
1
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Mathematical logic.
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Deductive reasoning
In mathematics, a proof is a deductive argument for a
mathematical statement. Deductive reasoning, unlike inductive
reasoning, is a valid form of proof. It is, in fact, the way in
which geometric proofs are written.