Descartes changed the relationship between science and religion by establishing a new philosophical foundation for knowledge. He argued that senses and mathematics could not be fully trusted, but that the existence of a perfect God meant our senses could be generally relied upon. This allowed scientists like Galileo to make discoveries using tools like telescopes without fear of contradicting religious authorities. Descartes' approach helped reconcile Catholicism with emerging scientific findings and established a model for rational inquiry that still influences perspectives today.