An Impossibility Theorem in Radical Inquisitive Semantics. Sano, K. 2012. Presented at as Workshop on Relating Particles to Evidence and Inference, 14th July 2012, Goettingen, Germany. Current version, January 2014, submitted for publication
An Impossibility Theorem in Radical Inquisitive Semantics [pdf]Paper  abstract   bibtex   
In (non-radical) inquisitive semantics, intuitionistic Kripke model captures how our group knowledge increases through a conversation, and also allows us to derive the inquisitive meaning of a sentence from the classical meaning. In radical inquisitive semantics by Groenendijk and Roelofsen (2009), positive and negative ways of reacting a proposal are captured by positive and negative inquisitive meanings of a sentence, respectively. Both inquisitive meanings are inductively defined without employing a Kripke semantics. This paper demonstrates that, in principle, it is impossible to provide any natural Kripke semantics with radical inquisitive semantics.

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