Philosophy Lexicon 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.

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.

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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. - (> ideal justification).
II 120
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.
II 205
Partial Denotation/generalization/Field/(s): partial denotation - This is a general case of denotation (not vice versa).
II 206
This makes a simple denotation (which is a special case) superfluous.
II 207
Partial match: generalization of consistency.
II 206
Generalization/Field: E.g. partial agreement is a generalization of agreement.

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.

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

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

H. Field
Science without numbers Princeton New Jersey 1980

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Ed. Martin Schulz, access date 2017-10-23