By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

By a `denoting phrase' I mean a phrase such as any one of the following: a man, some man, any man, every man, all men, the present King of England, the present King of France, the center of mass of the solar system at the first instant of the twentieth century, the revolution of the earth round the sun, the revolution of the sun round the earth. Thus a phrase is denoting solely in virtue of its form. We may distinguish (...) three cases: (1) A phrase may be denoting, and yet not denote anything; e.g., `the present King of France'. (2) A phrase may denote one definite object; e.g., `the present King of England' denotes a certain man. (3) A phrase may denote ambiguously; e.g. `a man' denotes not many men, but an ambiguous man. The interpretation of such phrases is a matter of considerably difficulty; indeed, it is very hard to frame any theory not susceptible of formal refutation. All the difficulties with which I am acquainted are met, so far as I can discover, by the theory which I am about to explain. (shrink)

In this paper I argue for the Atlas-Kempson Thesis that sentences of the form The A is not B are not ambiguous but rather semantically general (Quine), non-specific (Zwicky and Sadock), or vague (G. Lakoff). This observation refutes the 1970 Davidson-Harman hypothesis that underlying structures, as full semantic representations, are logical forms. It undermines the conception of semantical presupposition, removes a support for the existence of truth-value gaps for presuppositional sentences (the remaining arguments for which are viciously circular), and lifts (...) the Russell-Strawson dispute of 1950–1964 from stalemate to a formulation in which a resolution is possible for the first time. Suggestions of Davidson, Montague, Stalnaker, Kaplan and H. P. Grice are shown to be inadequate semantic descriptions of negative, presuppositional sentences. I briefly discuss the radical Pragmatics view of my 1975 publications and suggest that it too fails to do justice to the linguistic data. I speculate that Semantic Representations should be given the form (more or less) of computer programs, describable in Dana Scott's mathematical semantics for programming languages. (shrink)