According to Galileo "the world is written in the language of mathematics," and a natural philosopher must learn to read it. How did this approach differ from Descartes' notion of a mathematical universe?
Here's what I've come across so far-
- Invented the telescope, looked at planets, and for the first time, there was hardcore visual proof that not all astronomical bodies orbited the Earth.
- Got branded a heretic (saved himself by recanting) for it, so Descartes stood down with his ideas since he feared that he'd have to go through the same process.
- Was slightly accepted after Descartes laid down that God, being a perfect creature, would never try to deceive us, so we can trust our senses. So Galileo trusted his senses and hence trusted what he saw through the telescope.
- Galileo was more focused on coming up with the math to solve math and physics problems.
- Invented the Cartesian coordinate system and the analytical geometry that we have right now.
- Descartes believed that Mathematics was the only certain thing in the universe, hence it could be used to reason things out.
- Descartes, unlike Galileo, wanted to develop math so that he could reach any truth whatsoever.