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Type: Thingyago:WikicatMathematicalProofsyago:WikicatMethodsOfProofyago:Ability105616246yago:Abstraction100002137yago:Argument106648724yago:Cognition100023271yago:Communication100033020yago:Evidence106643408yago:Indication106797169yago:Know-how105616786yago:MathematicalProof106647864yago:Method105660268yago:Proof106647614yago:PsychologicalFeature100023100television show New Facet based on Instances of this Class

In mathematics, a proof of impossibility is a proof that demonstrates that a particular problem cannot be solved as described in the claim, or that a particular set of problems cannot be solved in general. Such a case is also known as a negative proof, proof of an impossibility theorem, or negative result. Proofs of impossibility often put to rest decades or centuries of work attempting to find a solution. Proving that something is impossible is usually much harder than the opposite task, as it is often necessary to develop a theory. Impossibility theorems are usually expressible as negative existential propositions or universal propositions in logic (see universal quantification for more).