Did the Ancient Greek Philosophers actually believe in their Gods and Myths?

Question

Is there any historical proof that shows what attitude the Ancient Greeks, specially the philosophers, had towards their Gods?

Answer 1

Aristotle says that people who wonder whether they should honor the gods are in need of punishment:

"Not every problem, or every thesis, should be examined, but only one which might puzzle one of those who need argument, not punishment or perception. For people who are puzzled to know whether one ought to honor the gods and love one’s parents or not need punishment, while those who are puzzled to know whether snow is white or not need perception.”

Aristotle, Topics I, 11, 105a2-8

I think this is somewhat compelling evidence that Aristotle thought that people should take the (Greek) gods seriously.