Authors
Abstract
In this paper we contribute to the general philosophical question
as to whether empirical testing can ever prove a physical law. Problems that
lead to this question arise under several contexts, and the matter has been
addressed by the likes of Bayes and Laplace. After pointing out that a
Bayesian approach is the proper way to address this problem, we show that
the answer depends on what we start with. Namely, under certain prior
assumptions, a finite amount of testing can lead to the conclusion of total
trustworthiness, though such priors could be unrealistic. However, we do
produce a new class of priors under which a finite amount of testing can lead
to a high degree of trustworthiness, at a relatively fast pace. We use the
scenario of software testing as a way to motivate and discuss our development.
Keywords