Dependence Statements Are Strict Conditionals

Dependence Statements Are Strict Conditionals. Ciardelli, I. In Bezhanishvili, G., D'Agostino, G., Metcalfe, G., & Studer, T., editors, Advances in Modal Logic (AIML), pages 123-142, London, 2018. College Publications.

Paper abstract bibtex

In this paper I discuss dependence statements like “whether p determines whether q”. I propose to analyze such statements as involving a generalized strict conditional operator applied to two questions—a determining question and a determined one. The dependence statement is true or false at a world w according to whether, relative to the set of successors of w, every answer to the former yields an answer to the latter. This motivates an investigation of strict conditionals in the context of inquisitive logic. A sound and complete axiomatization of the resulting logic is established, both for the class of all Kripke frames, and for various notable frame classes.

@inproceedings{Ciardelli:18aiml,
	address = {London},
	author = {Ivano Ciardelli},
	booktitle = {Advances in Modal Logic (AIML)},
	editor = {Bezhanishvili, Guram and Giovanna D'Agostino and George Metcalfe and Thomas Studer},
	pages = {123-142},
	publisher = {College Publications},
	title = {Dependence Statements Are Strict Conditionals},
	abstract={In this paper I discuss dependence statements like “whether p determines whether q”.
I propose to analyze such statements as involving a generalized strict conditional
operator applied to two questions—a determining question and a determined one.
The dependence statement is true or false at a world w according to whether, relative
to the set of successors of w, every answer to the former yields an answer to the latter.
This motivates an investigation of strict conditionals in the context of inquisitive logic.
A sound and complete axiomatization of the resulting logic is established, both for
the class of all Kripke frames, and for various notable frame classes.},
	url={http://www.ivanociardelli.altervista.org/wp-content/uploads/2014/02/aiml18-final.pdf},
	keywords={inquisitive logic, dependence, conditionals},
	year = {2018}}

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