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Use-Conditional MeaningStudies in Multidimensional Semantics$
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Daniel Gutzmann

Print publication date: 2015

Print ISBN-13: 9780198723820

Published to Oxford Scholarship Online: September 2015

DOI: 10.1093/acprof:oso/9780198723820.001.0001

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A multidimensional logic for hybrid semantics

A multidimensional logic for hybrid semantics

Chapter:
(p.103) 4 A multidimensional logic for hybrid semantics
Source:
Use-Conditional Meaning
Author(s):

Daniel Gutzmann

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198723820.003.0004

Based on the review of in Chapter 3, this chapter develops the new formal logic ℒTU for hybrid semantics, that is both capable of dealing with the entire range of UCIs and overcomes some additional problems. The key advantage of ℒTU is that it embraces true multidimensionality, i.e. every natural language expression is represented by a three-dimensional meaning profile in the compositional semantics. The chapter shows how the core ideas of can naturally be reformulated and extended in such a framework, which employs a generalized composition rule called multidimensional application. It is shown how the restrictions that do not directly transfer to the new system can be recast as conditions on the lexicon—syntax interface of the logic by the use of lexical extension rules.

Keywords:   true multidimensionality, compositional semantics, formal framework, meaning profile, lexicon—syntax interface, multidimensional application, lexical extension rules

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