Mathematics played a crucial role in the development of medieval natural philosophy. It was not just a tool for understanding natural phenomena but also a means to explain and predict them. Figures like Thomas Bradwardine contributed significantly to the unification of celestial and terrestrial mechanics by applying mathematical principles to both areas. Bradwardine, for instance, sought to compare terrestrial and celestial velocities, recognizing that they could be related through mathematical means. He emphasized the importance of mathematics in natural philosophy, suggesting that it could provide explanations for natural effects. His work laid the groundwork for later scientists to apply mathematical principles to both celestial and terrestrial mechanics, leading to a more unified understanding of the physical world.