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[[[>50 People will talk about axioms and rules of deduction, and say that a proof consists of (effectively) a web of statements, each of which is either an axiom, or the result of applying a rule of deduction/derivation from earlier statements. Well, perhaps, in theory, yes. In practice, that's not how it ~works. It's much murkier. ]]] A proof is a mathematical statement which has been demonstrated to the satisfaction of enough mathematicians of repute normally using the standard methods of mathematical logic, deduction and induction. Such a statement is then normally called a theorem. Here is a list of pages on proofs: * Proof by induction * Proof by contradiction * Proof that e is irrational * Pi is irrational * Root two is irrational