Contradiction or indirect proof.
Yes. It is a theorem. To prove it, use contradiction.
Proof by contradiction (APEX)
The term that best describes a proof in which you assume the opposite of what you want to prove is 'indirect proof'.
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.
To prove a statement by contradiction one begins by assuming the statement is not true. Contradiction is the act of giving the opposing something that you feel is not right.
opposite
A contradiction of a statement is a statement that proves the previous statement wrong.
In general a contradiction cannot be proved.
Prove that if it were true then there must be a contradiction.
The statement was a contradiction in itself.
Indirect reasoning is a method of proving a statement by showing that its negation leads to a contradiction or inconsistency. Instead of proving a statement directly, one assumes the negation of the statement and derives a contradiction to demonstrate that the original statement must be true.
The word "contradiction" is a noun. It refers to a statement, situation, or person that is inconsistent or untrue when compared to another.
An implicit contradiction, as opposed to an explicit contradiction, is hidden within the logical structure of the statement. If you figure it out, you will discover that there is a contradiction. Explicit contradictions don't have to be figured out, they merely have to be pointed out.
Contradiction or indirect proof.
proof by contradiction
An impossible statement. Perhaps conundrum, or better: paradox, contradiction. It could also be called 'undefined'.