Philosophy Dictionary of Arguments

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Truth value agglomerations, philosophy, logic: is an expression for the simultaneous occurrence of the truth values "true" and "false" assumed by some authors in the evaluation of a single statement. See also dialethism, paradoxes, truth values, truth-value gaps, supervaluation, interpretation.
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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 Truth Value Agglomeration - Dictionary of Arguments

II 145
Truth Value Agglomeration/Field: E.g. the claim of the absence of a truth value agglomeration in a sentence
"A" would be the claim

"~ [(true ("A") u true ("~ A) "]"

which should be equivalent to "~ (A u ~ A)".
Kleene cannot claim this absence for different sentences.
>Multivalued logic
.
Priest can.
>Dialethism.
Different sentences: E.g. Liar-sentence and other paradoxes.
>Liar paradox, >Paradoxes.
Truth Value Gap/Logical Form/Field: to claim a truth value gap in a sentence "A" (A"), would mean to assert: "[true ("A") v true ("~A")] and that should be equivalent to "~(A v ~ A)".
>Truth values, >Truth value gaps.

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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 2024-04-27
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