Philosophy Lexicon of Arguments

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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.

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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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HC I 65ff
Validity/Hughes/Cresswell: No structural property of formulas, no relation between formulas. - In contrast: derivability relation between formulas. - Yet the set of the derived and the valid formulas in a system are identical.
HC I 119
Validity/propositional calculus: truth tables are not sufficient for an evaluation of formulas in the propositional calculus. - Because we can not assign truth values to individual variables and predicate variables.


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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.

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


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Ed. Martin Schulz, access date 2018-04-24