Local Implicatures and Double Negatives. Chemla, E. 2006. Ms. LSCP.
Local Implicatures and Double Negatives [pdf]Paper  abstract   bibtex   
In this note, I investigate a particular aspect of Chierchia (2004)'s local derivation of implicatures: the system relies on a hardwire asymmetry between downward and upward monotonic operators. As a result, logically equivalent sentences might have different implicatures. I argue that it reveals a lack of motivation for some operations in the system. John ate an apple, a banana or an orange. Predicted implicature: John ate exactly one of these fruits. It's not true that John did not eat an apple, a banana or an orange.Predicted implicature: If John ate an orange, he did not eat any apple or banana.

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