"Plato's most enduring influence on science was his advice to approach the study of nature as an exercise in geometry. Through this "geometrization of nature," which could best be done in disciplines that could be suitably idealized, such as astronomy, one can formulate laws that are as "certain" as those in geometry. As Plato has Socrates remark in the Republic: "Let's study astronomy by means of problems, as we do in geometry, and leave the things in the sky alone.""