Philosophy Dictionary of ArgumentsHome | |||
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Godel number: natural number that encodes mathematical and logical statements by a certain method. The symbols such as +, -, =,(, etc. are in turn encoded by primes and subsequently multiplied, so they can be uniquely reconstructed by prime factorization. Gödel numbers make it possible to create directories of formulas and perform proofs of completeness or incompleteness._____________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. | |||
Author | Concept | Summary/Quotes | Sources |
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Logic Texts on Goedel Numbers - Dictionary of Arguments
Read III 37 Gödel number: is to make the reference of an expression unique. Reference/Gödel number/Read: the essential is the necessity of decoding. If such a name is given, there must be a procedure to determine which expression is called by it._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Logic Texts Me I Albert Menne Folgerichtig Denken Darmstadt 1988 HH II Hoyningen-Huene Formale Logik, Stuttgart 1998 Re III Stephen Read Philosophie der Logik Hamburg 1997 Sal IV Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983 Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001 Re III St. Read Thinking About Logic: An Introduction to the Philosophy of Logic. 1995 Oxford University Press German Edition: Philosophie der Logik Hamburg 1997 |