1564 – 1642
Galileo Galilei was an Italian astronomer, physicist, and mathematician whose advocacy of heliocentrism and pioneering use of the telescope transformed natural philosophy. Often called the 'father of modern science,' he established the methodology of systematic observation and mathematical description that became foundational to the scientific revolution.
Pioneered telescopic astronomical observation, discovering Jupiter's moons and Venus's phases
Formulated the law of falling bodies and principles of inertia
Championed the Copernican heliocentric model in Dialogue Concerning the Two Chief World Systems
Developed the mathematical-experimental method foundational to modern physics
Advanced the mathematization of nature, arguing the book of nature is written in mathematics
Aristotle's paradeigma foreshadows deductive analyses of analogical reasoning
claimFor any real number x, the terms of a conditionally convergent series can be rearranged so that x is the sum of the rearranged series.
claimThe semantics of a formal system rich enough to contain elementary mathematics cannot be fully defined in terms of mathematical functions within that same system.