Philosophy Dictionary of Arguments

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Incompleteness: whether something is incomplete can only be determined in relation to something that allows for a closer determination. For this purpose, e.g. a continuation rule, a type description, or a categorization must be specified. Objects, which are also parts of something, can then be fully described as an object if they do not need the context of which they are a part. See also indeterminacy, determination, context/context dependency, description, description levels, completeness.
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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

Christian Thiel on Incompleteness - Dictionary of Arguments

I 222
Incompleteness/Thiel: Incompleteness keeps reappearing. The logical rules do not contain all the operations actually performed when closing, nor are the prerequisites for these operations formalized.
For example, the order of the premises of a rule is regarded as insignificant. For example, the separation rule is also formulated with reversed premises.
>modus ponens
.
I 223
The usual axiom systems of the logical connectives are complete since Frege.
>Completeness, >Axiom systems, >G. Frege, >Junctions.

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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.

T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


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Ed. Martin Schulz, access date 2024-04-20
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