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Carnap-sentence: The Carnap-sentence, proposed by philosopher Rudolf Carnap, is a semantical sentence that serves to define the meaning of a given term within a particular language. It illustrates the logical structure of a concept through its syntactic representation.
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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

Gerhard Schurz on Carnap-Sentence - Dictionary of Arguments

I 214
Carnap-sentence/CS/C (T)/Schurz: (Carnap 1963(1), 965) had the idea to supplement the Ramsey-sentence by the following analytic theorem: ((s) elsewhere: "Carnap conditional"):

C(T): R(T) > T

Everyday language/(s): the Carnap-sentence states: if the Ramsey-sentence is true (i.e. if the theoretical entities exist), the theory follows from it.
Carnap-sentence/(s): the meaning characterization of the theoretical terms that C(T) provides says: the n-tuple of TT (τ1,...τn)
I 215
denotes an n-tuple (X1,...Xn) of entities satisfying the theoretical assertion T(X1,...Xn), provided there is such an n-tuple of entities.
Theoretical Terms/meaning/Theory/Carnap/Schurz: This brings the thesis that the meaning of theoretical terms is determined by the theory itself to its logical concept.
Ramsey-sentence/Carnap-sentence/Schurz: The conjunction of the two is L-equivalent with the theory itself. I.e.

II- R(T) u C(T) <> T

Carnap-sentence/Schurz: C(T) L-implies no non-tautological empirical theorem! I.e.

E(C(T)) = E(0).

Therefore the Carnap theorem is analytic.

Analytic/Synthetic/Carnap/Schurz: Thus Carnap has divided global theories into a synthetic part (Ramsey-sentence) and an analytic part (Carnap-sentence). But this is still not possible with respect to the individual axioms and theorems.
>Ramsey-sentence
.
Carnap-sentence: does not provide a meaning characterization for individual Theoretical terms, but only one for all of them together. And it provides only a partial meaning characterization of Theoretical terms.
Definition/Theoretical terms/Carnap-sentence/Schurz: For a full meaning characterization in the sense of an explicit definition, the extension of the Definiendum in all Possible Worlds would have to be uniquely determined by the extension of the Definiens Terms. However, the Carnap Theorem fixes the extension only in those Possible Worlds in which there is exactly one n-tuple of entities (X1,...Xn) satisfying T(X1,...Xn).
If there are more than one, the reference is ambiguous, if there is no such n-tuple at all, the Theoretical terms are denotational. Then the theory is wrong.
>Theoretical terms.


1. Carnap, R. (1963) "Carl G. Hempel on Scientific Theories". In: Schilpp, P. A. (ed.) The Philosophy of Rudolf Carnap, La Salle, pp. 958-965.

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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.

Schu I
G. Schurz
Einführung in die Wissenschaftstheorie Darmstadt 2006


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Ed. Martin Schulz, access date 2024-04-18
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