Simplifying with Free Choice

@article{Willer2018SimplifyingWF,
  title={Simplifying with Free Choice},
  author={Malte Willer},
  journal={Topoi},
  year={2018},
  volume={37},
  pages={379-392}
}
This paper offers a unified semantic explanation of two observations that prove to be problematic for classical analyses of modals, conditionals, and disjunctions: (1) the fact that disjunctions scoping under possibility modals give rise to the free choice effect and (2) the fact that counterfactuals license simplification of disjunctive antecedents. It shows that the data are well explained by a dynamic semantic analysis of modals and conditionals that uses ideas from the inquisitive semantic… 

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References

SHOWING 1-10 OF 43 REFERENCES

Free Choice in Deontic Inquisitive Semantics (DIS)

  • M. Aher
  • Computer Science
    Amsterdam Colloquium on Logic, Language and Meaning
  • 2011
It is demonstrated 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.

Free Choice and the Theory of Scalar Implicatures

  • D. Fox
  • Philosophy, Linguistics
  • 2007
This chapter will be concerned with the conjunctive interpretation of a family of disjunctive constructions. The relevant conjunctive interpretation, sometimes referred to as a ‘free choice effect,’

Free Choice Disjunction and Epistemic Possibility

This paper offers an explanation of the fact that sentences of the form (1) ‘X may A or B’ may be construed as implying (2) ‘X may A and X may B’, especially if they are used to grant permission. It

Breaking de Morgan's law in counterfactual antecedents

The main goal of this paper is to investigate the relation between the meaning of a sentence and its truth conditions. We report on a comprehension experiment on counterfactual conditionals, based on

Deontic Modality and the Semantics of Choice

A unified solution to Ross’s puzzle and free choice permission is proposed and a generalization of the classical semantics for disjunction is combined that explains the puzzling facts in terms of semantic consequence.

Dynamics of Epistemic Modality

A dynamic semantics for epistemically modalized sentences is an attractive alternative to the orthodox view that our best theory of meaning ascribes to such sentences truth-conditions relative to

On the syntax of disjunction scope

Under the account argued for here the syntactic properties of elements such as either and whether are almost entirely predictable given three components of information: the meaning of disjunction as explicated by Rooth and Partee (1982); a number of general principles and conditions, and certain very simple lexical facts such as the fact that either is [−WH], while whether is [+WH].

A Uniform Theory of Conditionals

It is shown that this new analysis provides an improved treatment of three phenomena (the import-export equivalence, reverse Sobel-sequences and disjunctive antecedents) and broader themes in the philosophy of language and formal semantics are also engaged here.

Free choice, modals, and imperatives

The article proposes an analysis of imperatives and possibility and necessity statements that (i) explains their differences with respect to the licensing of free choice any and (ii) accounts for the