Philosophy Dictionary of Arguments

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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.
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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

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.


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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


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Ed. Martin Schulz, access date 2024-04-27
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