Philosophy Dictionary of Arguments

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Generalization: a generalization is the extension of a statement (an attribution of properties) that applies to a domain D of objects to an object domain E that is larger than D and contains D. Time points may also belong to the subject domain. A property which fully applies to the objects of an object domain may be partially applicable to the objects of a larger domain. See also validity, general invalidity, general, predication, methods.
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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 Generalization - Dictionary of Arguments

II 120
Realism/variant/Field: here: "There are sentences in our language that are true, but for which we shall never have a reason to believe them." - Then you need a truth-term to generalize.
>Infinite conjunction/disjunction
.
Anti-Realism/Variant: here would be the opposite position: to identify truth with justifiability in the long run.
Cf. >Truth/Peirce, cf. >Assertibility, >Pragmatism.
>Ideal justification.
Truth-predicate/generalization/truth/Field: For example, the desire to only express true sentences: "I only utter "p" if p."
II 121
E.g. "Not every (of infinitely many) axioms is true" - or, for example, they are contingent: "not every one needed to be true". - N.B.: this is only possible with purely disquotational truth.
>Disquotationalism.
II 205
Partial Denotation/generalization/Field/(s): partial denotation - This is a general case of denotation (not vice versa).
>Denotation/Field.
II 206
This makes a simple denotation (which is a special case) superfluous.
II 207
Partial match: generalization of consistency.
>Consistency.
II 206
Generalization/Field: E.g. partial denotation is a generalization of denotation.
>Generalization.

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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 2024-04-19
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