Philosophy Dictionary of ArgumentsHome | |||
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General validity: within a calculus a formula that is satisfied by any interpretation (variable assignment with expressions for objects) is valid. See also satisfaction, satisfiability, interpretation._____________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. | |||
Author | Concept | Summary/Quotes | Sources |
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M.J. Cresswell on Validity - Dictionary of Arguments
Hughes I 65ff Validity/Hughes/Cresswell: No structural property of formulas, no relation between formulas. - In contrast: derivability relation between formulas. >Derivability, >Formulas. Yet the set of the derived and the valid formulas in a system are identical. Hughes I 119 Validity/propositional calculus: truth tables are not sufficient for an evaluation of formulas in the propositional calculus. >Predicate calculus. Because we can not assign truth values to individual variables and predicate variables. >Truth values, >Valuation._____________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. |
Cr I M. J. Cresswell Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988 Cr II M. J. Cresswell Structured Meanings Cambridge Mass. 1984 Hughes I G.E. Hughes Maxwell J. Cresswell Einführung in die Modallogik Berlin New York 1978 |