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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.
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Proof by contradiction is also known by its Latin equivalent, reductio ad absurdum.
contradiction
contradiction
Another name for indirect proof is "proof by contradiction." In this method, the assumption is made that the statement to be proven is false, leading to a contradiction. This contradiction implies that the original statement must be true.
Another name for a proof by contradiction is "indirect proof." In this method, one assumes the opposite of what is to be proven and then derives a contradiction from that assumption. This contradiction implies that the original assumption is false, thereby confirming the truth of the statement being proven.
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.
Another name for indirect proof is "proof by contradiction." In this method, the assumption is made that the statement to be proven is false, and then it is shown that this assumption leads to a 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)