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- Turing's_proof abstract "Turing's proof, is a proof by Alan Turing, first published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem. It was the second proof of the assertion (Alonzo Church's proof was first) that some decision problems are "undecidable": there is no single algorithm that infallibly gives a correct YES or NO answer to each instance of the problem. In his own words:"...what I shall prove is quite different from the well-known results of Gödel ... I shall now show that there is no general method which tells whether a given formula U is provable in K [Principia Mathematica]..." (Undecidable p. 145).Turing preceded this proof with two others. The second and third both rely on the first. All rely on his development of type-writer-like "computing machines" that obey a simple set of rules and his subsequent development of a "universal computing machine".".
- Turing's_proof wikiPageExternalLink 12.
- Turing's_proof wikiPageID "3739933".
- Turing's_proof wikiPageRevisionID "569323229".
- Turing's_proof hasPhotoCollection Turing's_proof.
- Turing's_proof subject Category:Articles_containing_proofs.
- Turing's_proof subject Category:Mathematical_logic.
- Turing's_proof subject Category:Mathematical_proofs.
- Turing's_proof subject Category:Theory_of_computation.
- Turing's_proof type Abstraction100002137.
- Turing's_proof type Argument106648724.
- Turing's_proof type Communication100033020.
- Turing's_proof type Evidence106643408.
- Turing's_proof type Indication106797169.
- Turing's_proof type MathematicalProof106647864.
- Turing's_proof type MathematicalProofs.
- Turing's_proof type Proof106647614.
- Turing's_proof comment "Turing's proof, is a proof by Alan Turing, first published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem. It was the second proof of the assertion (Alonzo Church's proof was first) that some decision problems are "undecidable": there is no single algorithm that infallibly gives a correct YES or NO answer to each instance of the problem. In his own words:"...what I shall prove is quite different from the well-known results of Gödel ...".
- Turing's_proof label "Turing's proof".
- Turing's_proof sameAs m.09yd22.
- Turing's_proof sameAs Q7854954.
- Turing's_proof sameAs Q7854954.
- Turing's_proof sameAs Turing's_proof.
- Turing's_proof wasDerivedFrom Turing's_proof?oldid=569323229.
- Turing's_proof isPrimaryTopicOf Turing's_proof.