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Splitting atoms in natural language ...
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Abstract:
The classic Fregean analysis of numerical statements runs into problems with sentences containing non-integers such as John read 2.5 novels, since it takes such statements to specify the cardinality of a set which by definition must be a natural number. We propose a semantics for numeral phrases which allows us to count mereological subparts of objects in such a way as to predict several robust linguistic intuitions about these sentences. We also identify a number of open questions which the proposal fails to address and hence must be left to future research. ...
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Keyword:
density; implicatures; measurement; numerals; scales
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URL: https://zenodo.org/record/5082472
https://dx.doi.org/10.5281/zenodo.5082472
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