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To demonstrate the validity of a statement using proof by absurdity or contradiction, we assume the opposite of the statement is true and then show that this assumption leads to a logical contradiction or absurdity. This contradiction proves that the original statement must be true.
True
Proof by contradiction is also known by its Latin equivalent, reductio ad absurdum.
contradiction
contradiction
Another name for an indirect proof is a proof by contradiction. In this method, the assumption of the opposite of what you want to prove is made, leading to a logical contradiction. This contradiction implies that the original statement must be true.
An indirect proof is a proof by contradiction.
proof by contradiction
Proof by contradiction (APEX)
It is a type of indirect proof: more specifically, a proof by contradiction.
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.