Probabilistic truth approximation and fixed points

Synthese 199 (1-2):4195-4216 (2020)
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Abstract

We use the method of fixed points to describe a form of probabilistic truth approximation which we illustrate by means of three examples. We then contrast this form of probabilistic truth approximation with another, more familiar kind, where no fixed points are used. In probabilistic truth approximation with fixed points the events are dependent on one another, but in the second kind they are independent. The first form exhibits a phenomenon that we call ‘fading origins’, the second one is subject to a phenomenon known as ‘the washing out of the prior’. We explain that the two phenomena may seem very similar, but are in fact quite different.

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Jeanne Peijnenburg
University of Groningen

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References found in this work

Scientific reasoning: the Bayesian approach.Peter Urbach & Colin Howson - 1993 - Chicago: Open Court. Edited by Peter Urbach.
The continuum of inductive methods.Rudolf Carnap - 1952 - [Chicago]: University of Chicago Press.
The Continuum of Inductive Methods.Rudolf Carnap - 1953 - Philosophy 28 (106):272-273.
Fading Foundations: Probability and the Regress Problem.Jeanne Peijnenburg - 2017 - Cham, Switzerland: Springer. Edited by Jeanne Peijnenburg.

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