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Ken Kubota:On Some Doubts Concerning the Formal Correctness of Gödel´s Incompleteness Theorem
- neues Buch 2013, ISBN: 9783943334043
Similar to Russell´s antinomy, Gödel´s Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is… Mehr…
Similar to Russell´s antinomy, Gödel´s Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is required. Its formulation in the standard work on higher-order logic by Peter B. Andrews (and also in set-theoretic works) reveals a weakness in the proof unknown before. Unlike mathematics in general, this theorem cannot be proven in Andrews´ logical system by syntactical means only, which raises questions on the theorem´s necessity. The problem of negative self-reference in mathematics, the rôle of metamathematics in general and of the semantic approach (model theory) in detail is discussed. On Some Doubts Concerning the Formal Correctness of Gödel´s Incompleteness Theorem Buch (fremdspr.) Geheftet 16.09.2013 Bücher>Fremdsprachige Bücher>Englische Bücher, Owl of Minerva Press GmbH, .201<
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Ken Kubota:On Some Doubts Concerning the Formal Correctness of Gödel's Incompleteness Theorem
- neues Buch ISBN: 9783943334043
[ED: sonst. Bücher], [PU: Owl of Minerva Press GmbH], Neuware - Similar to Russell's antinomy, Gödel's Incompleteness Theorem involves some kind of negative self-reference. For verifying … Mehr…
[ED: sonst. Bücher], [PU: Owl of Minerva Press GmbH], Neuware - Similar to Russell's antinomy, Gödel's Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is required. Its formulation in the standard work on higher-order logic by Peter B. Andrews (and also in set-theoretic works) reveals a weakness in the proof unknown before. Unlike mathematics in general, this theorem cannot be proven in Andrews' logical system by syntactical means only, which raises questions on the theorem's necessity. The problem of negative self-reference in mathematics, the rôle of metamathematics in general and of the semantic approach (model theory) in detail is discussed. -, DE, [SC: 0.00], Neuware, gewerbliches Angebot, 218x54x7 mm, 20, [GW: 60g], PayPal, Banküberweisung, Internationaler Versand<
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Ken Kubota:On Some Doubts Concerning the Formal Correctness of Gödel´s Incompleteness Theorem
- neues Buch ISBN: 9783943334043
Similar to Russell´s antinomy, Gödel´s Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is… Mehr…
Similar to Russell´s antinomy, Gödel´s Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is required. Its formulation in the standard work on higher-order logic by Peter B. Andrews (and also in set-theoretic works) reveals a weakness in the proof unknown before. Unlike mathematics in general, this theorem cannot be proven in Andrews´ logical system by syntactical means only, which raises questions on the theorem´s necessity. The problem of negative self-reference in mathematics, the rôle of metamathematics in general and of the semantic approach (model theory) in detail is discussed. On Some Doubts Concerning the Formal Correctness of Gödel´s Incompleteness Theorem Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Owl of Minerva Press GmbH<
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Kubota, Ken:On Some Doubts Concerning the Formal Correctness of Gödel's Incompleteness Theorem
- Taschenbuch ISBN: 9783943334043
[ED: Softcover], [PU: Owl of Minerva Press GmbH], Similar to Russell's antinomy, Gödel's Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal cor… Mehr…
[ED: Softcover], [PU: Owl of Minerva Press GmbH], Similar to Russell's antinomy, Gödel's Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is required. Its formulation in the standard work on higher-order logic by Peter B. Andrews (and also in set-theoretic works) reveals a weakness in the proof unknown before. Unlike mathematics in general, this theorem cannot be proven in Andrews' logical system by syntactical means only, which raises questions on the theorem's necessity. The problem of negative self-reference in mathematics, the rôle of metamathematics in general and of the semantic approach (model theory) in detail is discussed.
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On Some Doubts Concerning the Formal Correctness of Gödel's Incompleteness Theorem
- neues BuchISBN: 9783943334043
Similar to Russell's antinomy, Gödel's Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is… Mehr…
Similar to Russell's antinomy, Gödel's Incompleteness Theorem involves some kind of negative self-reference. For verifying the formal correctness, a complete formalization of the proof is required. Its formulation in the standard work on higher-order logic by Peter B. Andrews (and also in set-theoretic works) reveals a weakness in the proof unknown before. Unlike mathematics in general, this theorem cannot be proven in Andrews' logical system by syntactical means only, which raises questions on the theorem's necessity. The problem of negative self-reference in mathematics, the rôle of metamathematics in general and of the semantic approach (model theory) in detail is discussed. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik<
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