  In the famous thought experiment studied in this article, Galileo attempted
to refute the Aristotelian hypothesis that heavier bodies should fall more
quickly than lighter ones. After pointing out some inconsistencies in Galileo's
approach, we show, through the design of two alternative but equivalent
experiments, that from his imaginary experiment, it is not possible to reach
the conclusion that all bodies fall simultaneously. We show why, to explain the
result of this type of experience, it is necessary to establish the equivalence
between inertial and gravitational masses derived exclusively from experience.
