British Journal for the Philosophy of Science 55 (4):747-753 (2004)
| Abstract |
We establish a probabilized version of modus tollens, deriving from p(E|H)=a and p()=b the best possible bounds on p(). In particular, we show that p() 1 as a, b 1, and also as a, b 0. Introduction Probabilities of conditionals Conditional probabilities 3.1 Adams' thesis 3.2 Modus ponens for conditional probabilities 3.3 Modus tollens for conditional probabilities.
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| DOI | 10.1093/bjps/55.4.747 |
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References found in this work BETA
The Logic of Conditionals: An Application of Probability to Deductive Logic.Ernest Wilcox Adams - 1996 - Dordrecht, Netherland: D. Reidel Pub. Co..
The Logic of Conditionals.Ernest Adams - 1965 - Inquiry: An Interdisciplinary Journal of Philosophy 8 (1-4):166 – 197.
An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities.George Boole - 1854 - London, England: Dover Constable.
The Logic of Conditionals.Ernest Adams, Ernest W. Adams, Jaakko Hintikka & Patrick Suppes - 1974 - Journal of Symbolic Logic 39 (3):609-611.
Erratum: Probabilities of Conditionals and Conditional Probabilities.David Lewis - 1976 - Philosophical Review 85 (4):561.
View all 13 references / Add more references
Citations of this work BETA
Précis of Bayesian Rationality: The Probabilistic Approach to Human Reasoning.Mike Oaksford & Nick Chater - 2009 - Behavioral and Brain Sciences 32 (1):69-84.
New Normative Standards of Conditional Reasoning and the Dual-Source Model.Henrik Singmann, Karl Christoph Klauer & David Over - 2014 - Frontiers in Psychology 5.
Denying Antecedents and Affirming Consequents: The State of the Art.David Godden & Frank Zenker - 2015 - Informal Logic 35 (1):88-134.
The Uncertain Reasoner: Bayes, Logic, and Rationality.Mike Oaksford & Nick Chater - 2009 - Behavioral and Brain Sciences 32 (1):105-120.
Is Absence of Evidence of Pain Ever Evidence of Absence?Deborah J. Brown & Brian Key - 2021 - Synthese 199 (1-2):3881-3902.
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