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Probability and informed consent
In this paper, we illustrate some serious difficulties involved in conveying information about uncertain risks and securing informed consent for...
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Sets and Probability
In this article the idea of random variables over the set theoretic universe is investigated. We explore what it can mean for a random set to have a...
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Iterated AGM Revision Based on Probability Revision
Close connections between probability theory and the theory of belief change emerge if the codomain of probability functions is extended from the...
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A Basis for AGM Revision in Bayesian Probability Revision
In standard Bayesian probability revision, the adoption of full beliefs (propositions with probability 1) is irreversible. Once an agent has full...
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A Minimal Probability Space for Conditionals
One of central problems in the theory of conditionals is the construction of a probability space, where conditionals can be interpreted as events and...
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Causal Probability
In this Chapter, a notion of causal probability is developed that fits with phenomenological science as well as with variational induction. In the...
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Probability and Symmetric Logic
In this paper we study the interaction between symmetric logic and probability. In particular, we axiomatize the convex hull of the set of...
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The Logic ILP for Intuitionistic Reasoning About Probability
We offer an alternative approach to the existing methods for intuitionistic formalization of reasoning about probability. In terms of Kripke models,...
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Subjectivity of pre-test probability value: controversies over the use of Bayes’ Theorem in medical diagnosis
This article discusses the use of Bayes’ Theorem in medical diagnosis with a view to examining the epistemological problems of interpreting the...
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Interval Probability for Sessions Types
We propose a ty** system based on multiparty session types and probabilistic interactions. We define a probabilistic process calculus using...
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Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism
Explaining the emergence of stochastic irreversible macroscopic dynamics from time-reversible deterministic microscopic dynamics is one of the key...
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A Gentle Approach to Imprecise Probability
I had the good fortune of meeting Teddy Seidenfeld early in my career and learning from him over many years how to approach probability in general,...
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On Nagel’s Truth-Frequency Theory of Probability
Probability is the subject of considerable attention by Nagel, who devoted to it several writings. In the 1930s, Nagel put forward his “truth...
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A Characterization of Probability-based Dichotomous Belief Revision
This article investigates the properties of multistate top revision , a dichotomous (AGM-style) model of belief revision that is based on an...
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Why Probability isn’t Magic
“What data will show the truth?” is a fundamental question emerging early in any empirical investigation. From a statistical perspective,...
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Ellis on Mathematical Statistics and Probability
Robert Leslie Ellis’s work in mathematical statistics and probability can be conveniently grouped under three headings: (1) his 1844 critique of the...
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Representing Probability in Perception and Experience
It is increasingly common in cognitive science and philosophy of perception to regard perceptual processing as a probabilistic engine, taking into...
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Probability as the Basis of Induction
In this chapter, Marie Collins Swabey discusses the problem of induction and offers her response to it.
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Dynamic probability and the problem of initial conditions
Dynamic approaches to understanding probability in the non-fundamental sciences turn on certain properties of physical processes that are apt to...
