|Truth-functions: truth-functions map truth-values onto other truth-values. In two-valued logic, the two available truth values are "true" or "false" (t/f). The disjunction (A or B) now maps (t or t), (t or f) and (f or t) onto t, and (f or f) onto f. Non-truth-functional semantics differ from truth-functional semantics in that they also take other meanings of the logical links ("and", "or", "if then") into account, for example, expressions such as "nevertheless," "though," "still", whose propositional content corresponds to the "and", but which bring a certain additional expressive force into play. See also truth-functional semantics, truth-conditional semantics, semantics, propositional content._____________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 24
Truth function/Hughes/Cresswell: only four different truth functions (tr.f.) of p:
2 p itself
3 true, no matter whether if p itself is true or false
4 wrong, no matter whether p itself is true or false.
HC I 44
Truth-function/Hughes/Cresswell: each wff of the propositional calculus (prop.calc. is a truth function of its variables. - ((s) be found in table).
Modal function: any well-formed formula (wff) containing a modal operator, is a modal function of its variables._____________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.
M. J. Cresswell
Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988
M. J. Cresswell
Structured Meanings Cambridge Mass. 1984