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词汇 Impossibility theorem
分类 英语词汇 英语翻译词典
释义

Impossibility theorem

英语百科

Proof of impossibility

(重定向自Impossibility theorem)

A proof of impossibility, also known as negative proof, proof of an impossibility theorem, or negative result, is a proof demonstrating that a particular problem cannot be solved, or cannot be solved in general. Often proofs of impossibility have put to rest decades or centuries of work attempting to find a solution. To prove that something is impossible is usually much harder than the opposite task; it is necessary to develop a theory. Impossibility theorems are usually expressible as universal propositions in logic (see universal quantification).

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