A Bayesian Solution to the Duhem Problem

2022-12
Uysal, Tunç
In his book The Aim and Structure of Physical Theory Pierre Duhem introduces a problem regarding scientific methods which later had been called the Duhem Problem. The Duhem Problem states that when one uses or structures a theory, that theory is not used or structured independently of other theories. Scientific theories are not isolated from each other; we use other theories in the way of constructing or supporting another one. Then, even though a theory is falsified by experiments, we cannot definitely rule out that theory because we do not explicitly know why the theory is falsified. In this thesis, I will examine the viability of Colin Howson and Peter Urbach’s Bayesian Probability focused solution to the Duhem Problem. Bayesian Probability explains the relation between evidence and hypothesis with respect to their probabilities. It can show whether the evidence confirms or disconfirms the hypothesis by determining the probabilities of the hypothesis before and after the evidence is considered. According to Duhem, the Duhem Problem is related to his idea that a crucial experiment, meaning an experiment which definitively shows the superiority of one theory over others, is not possible. This means that when a scientist conducts an experiment, it cannot rule out all possible explanations apart from one because there might always be an explanation of which has not been thought yet. Howson and Urbach claim that individual probabilities of theories can be measured and used to determine where the error lies when theories as a group encounter an error.

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Citation Formats
T. Uysal, “A Bayesian Solution to the Duhem Problem,” M.A. - Master of Arts, Middle East Technical University, 2022.