Routledge Dictionary of Language and Linguistics.pdf

Dictionary of language and linguistics 1230table provides an overview of the most important two-place sentence operators and thedistribution of their truth values.ReferencesPost, E. 1921. Introduction to a general theory of elementary propositions. AJM 43.163–85.Wittgenstein, L. 1922. Tractatus logicophilosophicus. London.truth valueIn two-value formal logic the semantic evaluation of propositions with ‘true’ or ‘false.’A proposition is ‘true,’ if the state of affairs designated by it is true, otherwise it is ‘false.’The assertion It’s raining is true only if it is raining. Some forms of logic use a threevaluesystem which specifies not only true and false propositions, but also ‘indefinite’propositions (see Blau 1978) ( truth table for more information on the study of thetruth values of complex propositions based on the truth values of their componentpropositions and their logical connectives). The concept of assigningNegatAdjuncConjuImplicaEquivaContravTautContraiontionnctiontionlencealenceologydictionp q ¬p p q p Λ q p→q p↔q p q e. g. p→(q→p)e.g.pΛ(qΛ¬q)t t f t t t t f t ft f f t f f f t t ff t t t f t f t t ff f t f f t t f t fextensional truth values in propositional logic is fundamental to the semantic descriptionof natural languages ( Montague grammar).ReferencesBäuerle, R. et al (eds) 1979. Semantics from different points of view. Berlin.Black, M. 1948. The semantic definition of truth. Analysis 8.49–62.Blau, U. 1978. Die dreiwertige Logik der Sprache. Berlin.Davidson, D. 1967. Truth and meaning. Synthese 17.304–33.Evans, G. and J.McDowell (eds) 1976. Meaning and truth. Oxford.