Philosophy Dictionary of Arguments

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Rigidity, philosophy: Rigidity is an expression for the property of names to stand for the same object in all possible worlds, as opposed to descriptions that are not rigid and can change their reference. E.g. it is pointless to ask whether Napoleon might have been someone else but Napoleon in a possible world, but it is not meaningless to say that there is a possible world in which Napoleon is not the winner of Austerlitz. See also descriptions, names, possible worlds, range, necessity, possibility, reference, semantics of possible worlds, intensions, propositions.
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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

Hartry Field on Rigidity - Dictionary of Arguments

II 54
Name/non-rigid/FieldVs: assume, names would be considered as non-rigid. Then: to believe that Russell was bald, you have to believe a sentence that contains an identifier of Russell "F" and "G" stands for baldness; a sentence of the form ("G (ixFx)".
N.B.: why should we introduce possible worlds and propositions together with them? - Assuming propositions and explaining them with worlds and then wanting to distinguish between propositions, then one has to accept names and expressions such as "temperature" as non-rigid.
>Names
, >Descriptions, >Possible worlds, >Identification, >Cross world identity.

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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.

Field I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Field II
H. Field
Truth and the Absence of Fact Oxford New York 2001

Field III
H. Field
Science without numbers Princeton New Jersey 1980

Field IV
Hartry Field
"Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67
In
Theories of Truth, Paul Horwich, Aldershot 1994


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Ed. Martin Schulz, access date 2024-04-16
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