How did scholars use math to support claims of scientific revolution?

Scholars during the Scientific Revolution employed mathematics as a foundational tool to validate their theories and observations, moving away from reliance on philosophical speculation. Figures like Galileo used mathematical principles to describe motion and predict outcomes, while Kepler applied geometry to planetary orbits, establishing laws that contradicted earlier beliefs. The use of precise calculations and quantitative analysis helped to demonstrate the reproducibility of experiments and observations, thereby reinforcing claims of a systematic and empirical approach to understanding the natural world. This mathematical framework ultimately laid the groundwork for modern scientific inquiry.