There’s an excellent article by W. Grainge Clarke on the philosophy of science and how it relates to the Christian worldview.
On the topic of the underlying assumptions of the scientific method, he writes:
“These presuppositions are, by their nature unprovable, and some philosophers would consider them unacceptable. Behind the acceptance of these presuppositions lies the fact that modern science developed when the dominant worldview in Europe was Christian. If the Christian worldview is accepted they all make reasonable sense. However, on the atheistic worldview, that all is the product of matter-energy, time and chance, then none of these presuppositions are justifiable. To consider just one case: ‘The human mind is capable of rational thought’. If the human mind has been developed solely by non rational forces then there is no reason to believe that it can be rational and certainly it is not to be relied upon. Consider two computers one of which was designed and assembled by the IT staff at the local university and the other by the local kindergarten. Which is most likely to function well? Yet the kindergarten children have much more intelligence than blind chance.”
You can find the whole article here: