Philosophy Dictionary of ArgumentsHome
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| Completeness: Completeness typically refers to the property of a system where all necessary elements or operations exist, ensuring that every statement is either provable or disprovable within that system. See also Incompleteness, Definiteness, Determination, Distinction, Indistinguishability._____________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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Paul Lorenzen on Completeness - Dictionary of Arguments
Berka I187 Completeness/intuitionistic predicate calculus/Berka: the completeness with regard to the semantics of Kripke and Lorenzen has been proved several times, but always with classical means. Cf. >Kripke Semantics. An intuitionist completeness proof has not yet been found. On the contrary. Kreisel (1962)(2) proved that the intuitionist predicate calculus follows intuitionistically from the intuitionist Church thesis. >Church thesis, >Intuitionism, >Predicate calculus. 2. G. Kreisel. On Weak Completeness of Intuitionistic Predicate Logic. J.Symbolic Logic Volume 27, Issue 2 (1962), 139-158._____________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. |
Lorn I P. Lorenzen Constructive Philosophy Cambridge 1987 |
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> Counter arguments against Lorenzen
> Counter arguments in relation to Completeness
Ed. Martin Schulz, access date 2024-04-16