An Extension of the Montague Semantics

Delsarte, Philippe;Thayse, André
(1991) Philips Journal of Research — Vol. 46, n° 1, p. 23-55 (1991)

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  • Delsarte, PhilippeUCLouvain
    Author
  • Thayse, AndréUCLouvain
    Author
Abstract
Several authors have pointed out some limitations inherent in Montague's approach to natural language representation, and have attempted to remedy these limitations by working out suitable extensions of the Montague formalism. One of these limitations originates from the fact that logical connectives and modal operators can only be applied to formulae and not to arbitrary logical expressions, which stands in contradiction with the common practice of natural language where connectives and modalities can affect expressions of various syntactic categories (and not only complete sentences). This paper introduces an extension of Montague's intensional logic that precisely addresses the problem just alluded to. The proposed extension is equipped with a well-defined 'Boolean semantics', analogous with the Keenan-Faltz semantics.
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Delsarte, P., & Thayse, A. (1991). An Extension of the Montague Semantics. Philips Journal of Research, 46(1), 23-55. https://hdl.handle.net/2078.5/137464 (Original work published 1991)