Free Choice in Deontic Inquisitive Semantics (DIS)

We will propose a novel solution to the free choice puzzle. The approach is driven by empirical data from legal discourse and does not suffer from the same problems as implicature-based accounts. Following Anderson's violation-based deontic logic, we will demonstrate that a support-based radical inquisitive semantics will correctly model both the free choice effect and the standard disjunctive behaviour when disjunctive permission is embedded under negation. An inquisitive semantics also models the case when disjunctive permission is continued with "but I do not know which" which coerces an ignorance reading. We also demonstrate that a principled approach to negation provides a monotonic but restricted definition of entailment, which solves the problem of strengthening with a conjunct that is used as a counterargument against violation-based accounts.

[1]  Maria Aloni,et al.  Free choice, modals, and imperatives , 2007 .

[2]  S. Kanger New Foundations for Ethical Theory , 1970 .

[3]  R. Hilpinen Deontic Logic: Introductory and Systematic Readings , 1981 .

[4]  A. R. Anderson Some nasty problems in the formal logic of ethics , 1967 .

[5]  D. Over,et al.  Studies in the Way of Words. , 1989 .

[6]  David Beaver,et al.  Vagueness Is Rational under Uncertainty , 2009, Amsterdam Colloquium on Logic, Language and Meaning.

[7]  Michael Franke Free Choice from Iterated Best Response , 2009, Amsterdam Colloquium on Logic, Language and Meaning.

[8]  H. Gaifman,et al.  Symbolic Logic , 1881, Nature.

[9]  Irene Heim,et al.  FREE CHOICE DISJUNCTION AND EPISTEMIC POSSIBILITY* , 2001 .

[10]  Mandy Simons,et al.  Semantics and Pragmatics in the Interpretation of "or" , 2005 .

[11]  Katrin Schulz,et al.  A Pragmatic Solution for the Paradox of Free Choice Permission , 2005, Synthese.

[12]  Floris Roelofsen,et al.  Attention! 'Might' in Inquisitive Semantics , 2009 .

[13]  D. Fox Free Choice and the Theory of Scalar Implicatures , 2007 .

[14]  U. Sauerland,et al.  Presupposition and Implicature in Compositional Semantics , 2007 .

[15]  Fabrizio Cariani,et al.  'Ought' and Resolution Semantics. , 2013 .

[16]  Hans Kamp,et al.  IV—Free Choice Permission , 1974 .

[17]  Hans Kamp,et al.  Free Choice Permission , 2013 .

[18]  A. Avramides Studies in the Way of Words , 1992 .

[19]  Katrin Schulz,et al.  You May Read It Now Or Later: A Case Study on the Paradox of Free Choice Permission , 2004 .

[20]  Christian Barker,et al.  Free choice permission as resource-sensitive reasoning. , 2010 .

[21]  Siobhan Chapman Logic and Conversation , 2005 .

[22]  L. T. F. Gamut Logic, language, and meaning , 1991 .

[23]  Floris Roelofsen,et al.  Inquisitive semantics and pragmatics , 2009 .

[24]  M. Simons Dividing things up: The semantics of or and the modal/or interaction , 2005 .