Branching Quantification v. Two-way Quantification

Journal of Semantics 26 (4):329-366 (2009)
Abstract We discuss the thesis formulated by Hintikka (1973) that certain natural language sentences require non-linear quantification to express their meaning. We investigate sentences with combinations of quantifiers similar to Hintikka's examples and propose a novel alternative reading expressible by linear formulae. This interpretation is based on linguistic and logical observations. We report on our experiments showing that people tend to interpret sentences similar to Hintikka sentence in a way consistent with our interpretation.
Keywords Hintikka's thesis  branching quantifiers  natural language semantics  meaning representation
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