## Philosophy Lexicon of Arguments | |||

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Decidability: a question, for example, whether a property applies to an object or not, is decidable if a result can be achieved within a finite time. For this decision process, an algorithm is chosen as a basis. See also halting problem, algorithms, procedures, decision theory._____________ Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||

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Books on Amazon | Berka I 331 Undecidability/Predicate calculus 1st level/Gödel: Gödel shows with "Arithmetication" ("Gödelisation") that the predicate calculus of the 1st level is undecidable. This was a shocking fact for the Hilbert program. Tarski: (1939) Tarski proved the undecidability of Principia Mathematica and related systems. He showed that it is fundamental, i.e. that it cannot be abolished. Rosser: Rosser generalized Gödel's proof by replacing the condition of the ω-consistency by that of simple consistency. _____________ Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. |
Brk I K. Berka/L. Kreiser Logik Texte Berlin 1983 |

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Ed. Martin Schulz, access date 2018-04-23