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Definability: is about the question whether the meanings of linguistic elements and symbols of a statement in a given frame, a theory, a model or a system can be stated in a way that these elements and symbols can be replaced by other symbols. This replacement is to aid understanding. Is this the case new symbols (words, terms, links) can be created the meaning of which can be understood from the symbols already defined. Therefore these new symbols are definable. See also definition, context definition, implicit definition, explicit definition, models, systems, theories, foundation.
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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

Alfred Tarski on Definability - Dictionary of Arguments

Berka I 481
Features/Class/Definability/Tarski: a property E of a class is only definable when there is a propositional function, that determines E.
>Propositional functions
.
Then you can show that there are also other characteristics of classes: E.g. emptiness, containing only one element, two , etc.
Tarski: problem: Containing an infinite number of elements cannot be defined.(1)
>Cardinality, >Element relation, >Sets, >Set theory, >Subsets.

1. A.Tarski, Der Wahrheitsbegriff in den formalisierten Sprachen, Commentarii Societatis philosophicae Polonorum. Vol 1, Lemberg 1935
- - -
Skirbekk I 188
Def definable/Tarski: an object is definable when there is a propositional function that defines it - the term is purely mathematical, it expresses a property (called a class) of mathematical objects.(2)
>Mathematical entities, >Classes.


2. A.Tarski, „Die semantische Konzeption der Wahrheit und die Grundlagen der Semantik“ (1944) in: G. Skirbekk (ed.) Wahrheitstheorien, Frankfurt 1996

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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.

Tarski I
A. Tarski
Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983

Berka I
Karel Berka
Lothar Kreiser
Logik Texte Berlin 1983

Skirbekk I
G. Skirbekk (Hg)
Wahrheitstheorien
In
Wahrheitstheorien, Gunnar Skirbekk, Frankfurt 1977


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