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No, mathematical analysis of data was not yet a well-established process in science when Johannes Kepler began studying Tycho Brahe’s astronomical data in the late 16th and early 17th centuries.

  1. Science was still qualitative and philosophical

At the time, natural philosophy (what we now call science) relied more on logical reasoning and philosophical arguments than on systematic data analysis or mathematical modeling.

  1. No formal statistical methods yet

Fields like statistics, error analysis, and regression analysis had not yet been developed. The mathematical tools we now associate with data analysis (standard deviation, correlation, probability theory) came later in the 17th–18th centuries.

  1. Kepler’s work was pioneering

Kepler was one of the first scientists to apply mathematics rigorously to observed data.

Using Tycho’s highly accurate records of planetary positions, Kepler developed his three laws of planetary motion by manually fitting ellipses to the observed positions of Mars

This involved trial and error, deep mathematical insight, and an early form of empirical modeling, which was highly innovative for his time.

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