|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. |
|Berka I 469
Generalization/generalization/Tarski: lets free variables disappear.
Berka I 480
Generalization/generalization/fulfillment/"at most distinguished at i-th position"/Tarski: Let x be a propositional function, assuming it is already known, which sequences satisfy the function x - by taking into account the content of the subject operation, we will only claim of the sequence f, that it satisfies the function LKx if this sequence itself satisfies the function x, and even then not stops to satisfy this sequence when the k-th term varies in any way - e.g. the function L2l1,2 is only satisfied through such a result, if the formula f1
Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983
K. Berka/L. Kreiser
Logik Texte Berlin 1983