On the logic of nonmonotonic conditionals and conditional probabilities: Predicate logic [Book Review]

Journal of Philosophical Logic 27 (1):1-34 (1998)

Authors
James Hawthorne
University of Oklahoma
Abstract
In a previous paper I described a range of nonmonotonic conditionals that behave like conditional probability functions at various levels of probabilistic support. These conditionals were defined as semantic relations on an object language for sentential logic. In this paper I extend the most prominent family of these conditionals to a language for predicate logic. My approach to quantifiers is closely related to Hartry Field's probabilistic semantics. Along the way I will show how Field's semantics differs from a substitutional interpretation of quantifiers in crucial ways, and show that Field's approach is closely related to the usual objectual semantics. One of Field's quantifier rules, however, must be significantly modified to be adapted to nonmonotonic conditional semantics. And this modification suggests, in turn, an alternative quantifier rule for probabilistic semantics
Keywords Conditionals  Nonmonotonic Logic  Popper Functions  Probability  Semantics
Categories (categorize this paper)
Reprint years 2004
DOI 10.1023/A:1004264305582
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 39,566
Through your library

References found in this work BETA

Logic, Meaning, and Conceptual Role.Hartry Field - 1977 - Journal of Philosophy 74 (July):379-409.

Add more references

Citations of this work BETA

Conditional Probability and Defeasible Inference.Rohit Parikh - 2005 - Journal of Philosophical Logic 34 (1):97 - 119.

Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
97 ( #74,199 of 2,325,883 )

Recent downloads (6 months)
3 ( #527,170 of 2,325,883 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature