Philosophy Dictionary of ArgumentsHome
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| 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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Robert Nozick on Universal Generalization - Dictionary of Arguments
II 236 Belief/Knowledge/Disjunction/Conjunction/Probability/Nozick: Conjunction: we can believe it with connection to only one - disjunction: here we need both. - Adjunction: from the premises p, q, we can conclude the conjunction p & q as conclusion. >Conjunction, >Disjunction, >Adjunction. Probability: here, adjunction may fail, because the conjunction of two premises has a lower probability than each one individually. >Probability. Universal Generalization/Existence Generalization: we can believe it without connection to a particular instance. >Universal Generalization, >Existential Generalization._____________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. |
No I R. Nozick Philosophical Explanations Oxford 1981 No II R., Nozick The Nature of Rationality 1994 |
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> Counter arguments against Nozick
> Counter arguments in relation to Universal Generalization
Ed. Martin Schulz, access date 2024-04-27