Anaphora and Type Logical Grammar: 24 (Trends in Logic) by Gerhard Jäger

By Gerhard Jäger

ThisbookdiscusseshowTypeLogicalGrammarcanbemodi?edinsuch awaythatasystematictreatmentofanaphoraphenomenabecomesp- sible with no giving up the overall structure of this framework. through kind Logical Grammar, I suggest the
model of Categorial Grammar that arose out of the paintings of Lambek, 1958 and Lambek, 1961. There Ca- gorial kinds are analyzed as formulae of a logical calculus. specifically, the Categorial slashes are interpreted as forms
of positive impli- tion within the experience of Intuitionistic good judgment. the sort of thought of grammar is consistent with se appealing for a proper linguist who's drawn to the interaction among formal good judgment and the constitution of language. What
makes L- bekstyleCategorialGrammarevenmoreexcitingisthefactthat(asvan Benthem,1983pointsout)theCurry-Howardcorrespondence-acentral a part of mathematical evidence conception which establishes a deep connection
betweenconstructivelogicsandthe?-calculus-suppliesthetypelogical syntax with an exceptionally based and independently stimulated interface to model-theoretic semantics. Prima facie, anaphora doesn't ?t rather well into the
Categorial photo of the syntax-semantics interface. The Curry-Howard established composition of that means operates in a neighborhood means, and which means ass- bly is linear, i.e., each piece of lexical that means is used precisely as soon as. Anaphora,
nonetheless, is in precept unbounded, and it includes by means of de?nition the a number of use of convinced semantic assets. The latter challenge has been tackled by means of numerous Categorial grammarians through ass- ing su?ciently complex
lexical meanings for anaphoric expressions, however the locality challenge isn't really effortless to resolve in a basically lexical way.

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