Lewis’ Triviality for Quasi Probabilities

According to Stalnaker’s Thesis, the probability of a conditional is the conditional probability. Under some mild conditions, the thesis trivialises probabilities and conditionals, as initially shown by David Lewis. This article asks the following question: does still lead to triviality, if the probability function in is replaced by a probability-like function? The article considers plausibility functions, in the sense of Friedman and Halpern, which additionally mimic probabilistic additivity and conditionalisation. These quasi probabilities comprise Friedman–Halpern’s conditional plausibility spaces, as well as other known representations of conditional doxastic states. The paper proves Lewis’ triviality for quasi probabilities and discusses how this has implications for three other prominent strategies to avoid Lewis’ triviality: Adams’ thesis, where the probability function on the left in is replaced by a probability-like function, abandoning conditionalisation, where probability conditionalisation on the right in is replaced by another propositional update procedure and the approximation thesis, where equality in is replaced by approximation. The paper also shows that Lewis’ triviality result is really about ‘additiveness’ and ‘conditionality’.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s10849-019-09289-0
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: 39,692
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

On Conditionals.Dorothy Edgington - 1995 - Mind 104 (414):235-329.
The Adams Family.Igor Douven & Sara Verbrugge - 2010 - Cognition 117 (3):302-318.
New Paradigm Psychology of Reasoning.David E. Over - 2009 - Thinking and Reasoning 15 (4):431-438.

View all 43 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Triviality Pursuit.Alan Hájek - 2011 - Topoi 30 (1):3-15.
The Fall of “Adams' Thesis”?Alan Hájek - 2012 - Journal of Logic, Language and Information 21 (2):145-161.
The Probabilities of Conditionals Revisited.Igor Douven & Sara Verbrugge - 2013 - Cognitive Science 37 (4):711-730.
Conditionals, Probability, and Non-Triviality.Charles G. Morgan & Edwin D. Mares - 1995 - Journal of Philosophical Logic 24 (5):455-467.
Adams Conditionals and Non-Monotonic Probabilities.Richard Bradley - 2006 - Journal of Logic, Language and Information 15 (1-2):65-81.
Probability and Conditionals.Robert C. Stalnaker - 1970 - Philosophy of Science 37 (1):64-80.
Subjunctive Conditional Probability.Wolfgang Schwarz - 2018 - Journal of Philosophical Logic 47 (1):47-66.
The Strongest Possible Lewisian Triviality Result.Branden Fitelson - 2015 - Thought: A Journal of Philosophy 4 (2):69-74.


Added to PP index

Total views
5 ( #931,138 of 2,327,887 )

Recent downloads (6 months)
5 ( #344,211 of 2,327,887 )

How can I increase my downloads?


My notes

Sign in to use this feature