|Universal generalization, logic: under the condition that an arbitrarily chosen object x has a certain property F, one can conclude that every object has the property F. Logical form I-a > b -> I-a > (a)b. Explanation If a formula a states something about an individual a (which can be x, y ...), and b follows from a, then b is also valid for all individuals mentioned in a by a. (See Hughes/Cresswell, 1978, p. 121). The universal generalization allows to introduce a universal quantifier. See also universal instantiation, existential generalization._____________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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Belief / knowledge / disjunction / conjunction / probability / Nozick: conjunction: we can believe it with only connection to one. - Disjunction: here we need both. - Adjunction: from the premises p, q, we can conclude the conjunction p & q as the conclusion. - prblty: here adjunction may fail because the conjunction of two premises is of a lower prblty than each individual. - Universal Generalization / EG: we can believe it without connecting to a specific instance!_____________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.
Philosophical Explanations Oxford 1981
The Nature of Rationality 1994