To what extent did the Greeks really believe their mythology?

They believed in their religion enough that one of the two capital charges laid against Socrates was disbelieving in it. read more

In ancient Greek μύθος simply ment story, or perhaps fable. It was later Christians who used to mean false or even a lie. The Greeks at times tried or categorize their myths into psychological, theological, natural, historical and mixed. Often they believed that myths carried symbolic and spiritual truths. read more

Greeks invoked gods in sacrifices that were part and parcel of civil life and they are civil--sacred and secular meshed--festivals. Leaders sought the gods'"opinions", through divination before any important undertaking. read more

The Greeks at times tried or categorize their myths into psychological, theological, natural, historical and mixed. Often they believed that myths carried symbolic and spiritual truths. They knew that some myths has different versions. read more

According to Wikipedia Euhemerus was a Greek philosopher and mythographer writing in the 4th century BC; he didn't believe in the literal truth of myths, but argued that myths are exaggerations and distortions of historical events; this view is still (sometimes) called euhemerism. read more