Psychology Dictionary of ArgumentsHome
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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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Benson Mates on Generalization - Dictionary of Arguments
I 173 Generalization/theorems/spelling/terminology/logic/Mates: E.g. (x) (y) Fxy <> (y) (x) Fx: generalized: 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. >Variables/Mates, >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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> Counter arguments against Mates
> Counter arguments in relation to Generalization
