Abstract
We define a first-order conditional logic in which conditionals, such as a —• 0, are interpreted as saying that normal/commonAypical objects which satisfy a satisfy 0 as well. This qualitative 'statistical' interpretation is achieved by imposing additional structure on the domain of a single first-order model in the form of an ordering over domain elements and tuples, a —* 0 then holds if all objects with property a whose ranking is minimal satisfy 0 as well. These minimally ranked objects represent the typical or common objects having the property a. This semantics differs from that of the more common subjective interpretation of conditionals, in which conditionals are interpreted over sets of standard first-order structures. Our semantics provides a more natural way of modelling qualitative statistical statements, such as 'typical birds fly', or 'normal birds fly'. We provide a sound and complete axiomatization of this logic, and we show that it can be given probabilistic semantics.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
