Aristotle had considered the question of whether space is infinite and gave six nonmathematical arguments to prove that it is finite; he foresaw that this question would be troublesome.

Koyré's exaltation of the " Platonic and Pythagorean " elements of the Scientific Revolution... was based on a demonstrably false understanding of how Galileo reached his conclusions. ...By avoiding consideration of nonmathematical sciences, Koyré reduced the Scientific Revolution to the ideas of Copernicus , Kepler , Galileo, and Newton .
alexandre koyré