Abstract
In ‘Rational Belief Change, Popper Functions and Counterfactuals’ (Harper [1]), I used Popper’s treatment of conditional probability and an account of conditionals motivated by Ramsey’s test for acceptability of hypotheticals to construct iterative probability models.†An iterative probability model is to be an extension of the Bayesian representation of rational belief that allows for iterated shifting by conditionalization on new inputs even when this involves iterated revisions of previously accepted evidence. Stalnaker has raised serious difficulties with my construction. The source of these difficulties is my account of Ramsey test conditionals. In this paper I give an account of Ramsey test conditionals adequate to construct iterative probability models free of all such difficulties.
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