|Existential generalization, logic: if an object that can be named, has a certain property, then there is at least one object with this property. See also universal generalization, universal instantiation._____________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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|Berka I 469
Generalization/generalization/Tarski: ((s) here: not existential generalization?) lets free variables disappear.
Berka I 480
Generalization/generalization/fulfillment/satisfaction/"at most distinguishing at i-th position"/Tarski: ((s) here not existential generalization) - Let x be a propositional function, assuming it is already known, which sequences satisfy the function x. - By considering the content of the considered operation, we will only claim of the sequence f that it satisfies the ∧kx function if the sequence itself satisfies the x function and even then not stops to satisfy it if the k-th term varies in any way. - E.g. the function ∧2l1,2 is only satisfied by such a sequence, which verifies the formula f1 ⊂ f2 and this regardless of how the second term of this sequence varies. - This is only possible when the first element is the empty class._____________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.
Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983
K. Berka/L. Kreiser
Logik Texte Berlin 1983