Here's why:

* Galileo discovered the moons: Galileo Galilei was the first person to observe and identify four of Jupiter's largest moons, now known as Io, Europa, Ganymede, and Callisto.

* Simon Marius named the moons: The moons were later named by German astronomer Simon Marius, who independently observed them around the same time as Galileo. Marius proposed the names Io, Europa, Ganymede, and Callisto, which were based on figures from Greek mythology.

Therefore, the moons of Jupiter are named after figures from Greek mythology, not after Galileo.