Newton was active during the Middle Ages and Renaissance, which had a gradual implementation of mathematics in the society.
Measurement became increasingly important, e.g., mechanical clocks and monetary economy.
Transition from sexagesimals to the Arabic decimal system.
Kaye referred to this as an arithmetic mentality and the emergence of the science of calculation.
Kepler introduced mathematical relations as the foundation of reality.
Galileo pointed to the relevance of mathematics in studying the natural world.
Distinguished between primary qualities (inseparable from matter) and secondary qualities (perceived by the human senses).
Galileo's methods combined visualization, intuition, demonstration, and experimentation, shaping modern scientific instruments and mathematical principles.