David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 186 (2):511-529 (2012)
We reflect on lessons that the lottery and preface paradoxes provide for the logic of uncertain inference. One of these lessons is the unreliability of the rule of conjunction of conclusions in such contexts, whether the inferences are probabilistic or qualitative; this leads us to an examination of consequence relations without that rule, the study of other rules that may nevertheless be satisfied in its absence, and a partial rehabilitation of conjunction as a ‘lossy’ rule. A second lesson is the possibility of rational inconsistent belief; this leads us to formulate criteria for deciding when an inconsistent set of beliefs may reasonably be retained
|Keywords||Lottery paradox Preface paradox Uncertain inference Conjunction Rationality Inconsistency Lossy rules|
|Categories||categorize this paper)|
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
Judea Pearl (1988). Probabilistic Reasoning in Intelligent Systems. Morgan Kaufmann.
Ernest W. Adams (1975). The Logic of Conditionals: An Application of Probability to Deductive Logic. D. Reidel Pub. Co..
Henry E. Kyburg Jr (1961). Probability and the Logic of Rational Belief. Wesleyan University Press.
Ernest Adams (1998). A Primer of Probability Logic. Stanford: Csli Publications.
Ernest Adams (1965). The Logic of Conditionals. Inquiry 8 (1-4):166 – 197.
Citations of this work BETA
Frederik Van De Putte & Christian Straßer (2014). Preferential Semantics Using Non-Smooth Preference Relations. Journal of Philosophical Logic 43 (5):903-942.
Similar books and articles
James Hawthorne & David Makinson (2007). The Quantitative/Qualitative Watershed for Rules of Uncertain Inference. Studia Logica 86 (2):247-297.
Christopher Gauker (1999). Deflationism and Logic. Facta Philosophica (1):167-199.
Hanti Lin & Kevin T. Kelly (2012). A Geo-Logical Solution to the Lottery Paradox, with Applications to Conditional Logic. Synthese 186 (2):531-575.
Kevin B. Korb (1992). The Collapse of Collective Defeat: Lessons From the Lottery Paradox. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:230 - 236.
James Hawthorne & Luc Bovens (1999). The Preface, the Lottery, and the Logic of Belief. Mind 108 (430):241-264.
Jake Chandler (2013). Acceptance, Aggregation and Scoring Rules. Erkenntnis 78 (1):201 - 217.
Ken Akiba (1996). Logic as Instrument: The Millian View on the Role of Logic. History and Philosophy of Logic 17 (1-2):73-83.
Edwin Mares & Francesco Paoli (2014). Logical Consequence and the Paradoxes. Journal of Philosophical Logic 43 (2-3):439-469.
V. V. Rybakov, M. Terziler & C. Gencer (2000). On Self-Admissible Quasi-Characterizing Inference Rules. Studia Logica 65 (3):417-428.
Stephen Read (2010). General-Elimination Harmony and the Meaning of the Logical Constants. Journal of Philosophical Logic 39 (5):557-76.
Vladimir V. Rybakov (1992). Rules of Inference with Parameters for Intuitionistic Logic. Journal of Symbolic Logic 57 (3):912-923.
Igor Douven (2002). A New Solution to the Paradoxes of Rational Acceptability. British Journal for the Philosophy of Science 53 (3):391-410.
Added to index2011-08-30
Total downloads48 ( #70,070 of 1,725,607 )
Recent downloads (6 months)6 ( #110,407 of 1,725,607 )
How can I increase my downloads?