Did the Greeks believe in their myths?

Must read at least 2 of these sources. Sources: Veyne, P. Did the Greeks believe in their myths? An essay on the constitutive imagination (Chicago: 1988). Calame C. “Greek Myth and Greek Religion”, in R. D. Woodard (ed.) The Cambridge Companion to Greek Mythology (Cambridge: CUP, 2007), 259-285. Bremmer J. N. Greek Religion (Oxford: OUP, 1994).