Truth and Meaning - fl7 5~ 2 Truth and Meaning It is...

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fl7.- 5~. 2 Truth and Meaning It is conceded by most philosophers of language, and recently by some linguists, that a satisfactory theory of meaning must give an account of how the meanings of sentences depend upon the meanings of words. Unless such an account could be supplied for a particular language, it is argued, there would be no explaining the fact that we can learn the language: no explaining the fact that, on mastering a finite vocabulary and a finitely stated set of rules, we are prepared to produce and to understand any of a potential infinitude of sentences. I do not dispute these vague claims, in which I sense more than a kernel of truth. 1 Instead I want to ask what it is for a theory to give an account of the kind adumbrated. One proposal is to begin by assigning some entity as meaning to each word (or other significant syntactical feature) of the sentence; thus we might assign Theaetetus to 'Theaetetus' and the property of flying to 'flies' in the sentence 'Theaetetus flies'. The problem then arises how the meaning of the sentence is generated from these meanings. Viewing concatenation as a significant piece of syntax, we may assign to it the relation of participating in or instantiating; however, it is obvious that we have here the start of an infinite regress. Frege sought to avoid the regress by saying that the entities corresponding to predicates (for example) are 'unsaturated' or 'incomplete' in contrast to the entities thatcorrespond to names, but this doctrine seems to label a difficulty rather than solve it. The point will emerge if we think for a moment of complex singular terms, to which Frege's theory applies along with sentences. Consider the expression 'the father of Annette'; how does the I See Essay I.
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18 Truth and Meaning meaning of the whole depend on the meaning of the parts? The answer would seem to be that the meaning of 'the father of' is such that when this expression is prefixed to a singular term the result refers to the father of the person to whom the singular term refers. What part is played, in this account, by the unsaturated or incomplete entity for which 'the father of' stands? All we can think to say is that this entity 'yields' or 'gives' the father of x as value when the argument is x, or perhaps that this entity maps people on to their fathers. It may not be clear whether the entity for which 'the father of' is said to stand performs any genuine explanatory function as long as we stick to individual expressions; so think instead of the infinite class of expressions formed by writing 'the father of' zero or more times in front of 'Annette'. It is easy to supply a theory that tells, for an arbitrary one of these singular terms, what it refers to: if the term is 'Annette' it refers to Annette, while if the term is complex, consisting of 'the father of' prefixed to a singular term t, then it refers to the father of the person to whom t refers. It is obvious that no entity correspondi.ig to 'the father of' is, or needs to be, mentioned in stating this theory.
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