contradiction
proof by contradiction
It is a type of indirect proof: more specifically, a proof by contradiction.
False
True. An indirect proof, also known as proof by contradiction, involves assuming that the statement to be proven is false. From this assumption, logical deductions are made, ultimately leading to a contradiction or an impossible situation, which implies that the original statement must be true. This method is often used in mathematical reasoning to establish the validity of a statement.
Proof by contradiction is also known by its Latin equivalent, reductio ad absurdum.
contradiction
contradiction
An indirect proof is a proof by contradiction.
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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.
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.
False