Quantification and Inference

The Monist 85 (4):535-554 (2002)
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Abstract

Quantification, understood in the widest possible sense, is a phenomenon of fundamental interest for logic and linguistics and at the same time a phenomenon whose exegesis presents notorious problems in both of these disciplines. The general point to be made in the present essay is this: that there is a lack of understanding of the real nature of quantification, both in natural language and in logic itself, and that this is a direct consequence of a serious defect in Morris’s division of semiotics into three autonomous branches of syntax, semantics, and pragmatics, the study of each of which is supposed to proceed independently of the study of any other. The aim of this paper is thus twofold: on the one hand to show that the real exegesis of quantification may be attained only under a certain interpretation of semiotics as such; and on the other hand to show that the very fact of the attainability of this authentic explanation of the nature of quantification gives grounds to speak of the necessity of reassessing certain notions on which logic, linguistics, and semiotics are currently based.

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