Aristotle was a proponent of science in one's own mind. The idea that one could rightly divine by thinking about an issue the correct answer. This idea may seem compelling, but it has always been wrong. It was wrong when Aristotle concluded that objects of different masses fall to Earth at different speeds, it was wrong when Galileo dropped different masses off the Tower of Pisa to see if they did, and it was wrong when the masses struck the ground at the same time.
Aristotle appears to have argued against that position. not in favor of it. Galileo appears to have actually just done that figuring in his mind and posing some thought experiments as to what happens when you tie a 1 pound weight to a 10 pound weight and likely didn't actually drop the weights from said tower and that story is likely apocryphal.