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Routledge Dictionary of Language and Linguistics.pdf

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A-Z 1229contribution to determining truth values can only be analyzed depending on the givenspeech situation; (c) reference to different ‘possible words’ as they are created throughverbs <strong>of</strong> believing or knowing ( intension, vagueness). The explication <strong>of</strong> truthconditions <strong>of</strong> sentences is seen in more recent grammatical theories (such as categorialgrammar, Montague grammar) as the basic principle <strong>of</strong> an adequate description <strong>of</strong>language. Thus, the synonymy between two propositions can be defined as similarity orconcordance <strong>of</strong> their truth conditions or <strong>of</strong> the situations in which these sentences aretrue. See Dummet (1975) for a criticism <strong>of</strong> the formulatio n <strong>of</strong> truth conditions as part <strong>of</strong>linguistic description.ReferencesDummett, M.A.E. 1975. What is a theory <strong>of</strong> meaning? In S.Guttenplan(ed.),Mind <strong>and</strong> language.Oxford. 97–138.——1976. What is a theory <strong>of</strong> meaning (II)? In G. Evans <strong>and</strong> J.Mcdowell (eds), Truth <strong>and</strong>meaning. Oxford. 67–137.formal logic, possible world, truth valuetruth-functionalProperty <strong>of</strong> logical connectives, whose in variant meaning guarantees that the wholemeaning <strong>of</strong> complex sentences can be represented as a function <strong>of</strong> the truth values <strong>of</strong> thecomponent clauses. (=also extension, propositional logic)truth tableMethod developed independently by Post (1921) <strong>and</strong> Wittgenstein (1922) <strong>of</strong> defininglogical connectives on the basis <strong>of</strong> truth values. Since the truth value <strong>of</strong> complexpropositions connected by constants (such as <strong>and</strong>, or) is dependent on the truth values <strong>of</strong>the component propositions <strong>and</strong> on the meaning <strong>of</strong> their constants, these relations can berepresented in a matrix. In the first vertical column the different possible combinationsfor the individual component propositions are entered: t=‘true,’ f=‘false’; the number <strong>of</strong>the horizontal lines is 2 n , whereby n is the number <strong>of</strong> actual component propositions(=atomic sentences) in the propositional connection: two component propositions yieldfour, five component propositions yield thirty-two lines. The far-right line indicates thetruth value applied to the distribution <strong>of</strong> the truth values by the constants (cf. theexamples shown in conjunction, disjunction, implication, <strong>and</strong> others). The following

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