There is an academic controversy over whether proofs by contradiction (see also [[Excluded Middle]]) should be accepted qua proofs; either due to concerns regarding computability, or [[Intuitionist Mathematics]]. These are not necessarily held to be distinct concerns. Most mathematicians disregard any such controversy and accept proofs by contradiction. | There is an academic controversy over whether proofs by contradiction (see also [[Excluded Middle]]) should be accepted qua proofs; either due to concerns regarding computability, or [[Intuitionist Mathematics]]. These are not necessarily held to be distinct concerns. Most mathematicians disregard any such controversy and accept proofs by contradiction. |