Psychology 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.
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

Benson Mates on Generalization - Dictionary of Arguments

I 173
E.g. (x) (y) Fxy <> (y) (x) Fx:
II- ∧α∧α "j <> La"∧αj
E.g. (Ex) (Ey) fxy <> (Ey) (Ex) fxy:
II- VaVa "φ <> VaVa"φ
E.g. (x) (P u Fx) <> (P u (x) Fx): II- ∧α (φ u ψ) <> (φ u Laψ)
if a in φ does not occur freely
E.g. (x) (Ey) (Fx u Gy) <> ((x) Fx u (Ey) Gy): II- ∧αVa "(φ u ψ) <> (∧αφ u Va" ψ)
and when a does not occur freely in ψ and when a" does not occur freely in φ.
, >Free variables, >Bound variables.

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.

Mate I
B. Mates
Elementare Logik Göttingen 1969

Mate II
B. Mates
Skeptical Essays Chicago 1981

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