Philosophy Dictionary of ArgumentsHome
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| Inserting: in a formula an icon can be replaced under certain conditions by another icon. E.g. inserting a constant for a variable will make a propositional function become a sentence. See also substitutability, substitution, validity, statements, propositional functions._____________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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Kurt Gödel on Substitution (Insertion) - Dictionary of Arguments
I Berka 306 Inserting/replacing/substitution/Goedel: individual variables (free and bound) may be replaced by any other, provided there occurs no overlap of the range of equally naming variables.(1) >Range, >Scope, >Variables, >Individual variables, >Substitution, >Substitutability, >Formulas, >Free variables, >Bound variables. 1. K. Gödel: Die Vollständighkeit der Axiome des logischen Funktionenkalküls, in: Mh, Math. Phys. 37 (1930), pp. 349-360._____________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. |
Göd II Kurt Gödel Collected Works: Volume II: Publications 1938-1974 Oxford 1990 |
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> Counter arguments against Gödel
> Counter arguments in relation to Substitution (Insertion)
Ed. Martin Schulz, access date 2024-04-27