Eventually Zeus experienced an enormous headache; Prometheus, Hephaestus, Hermes, Ares, or Palaemon (depending on the sources examined) cleaved Zeus's head with the double-headed Minoan axe, the labrys. Athena leaped from Zeus's head, fully grown and armed, with a shout— "and pealed to the broad sky her clarion cry of war. And Ouranos trembled to hear, and Mother Gaia..." (Pindar, Seventh Olympian Ode). Plato, in the Laws, attributes the cult of Athena to the culture of Crete, introduced, he thought, from Libya during the dawn of Greek culture.
Classical myths thereafter note that Hera was so annoyed at Zeus for having produced a child that she conceived and bore Hephaestus by herself.
Plato, in Cratylus (407B) gave the etymology of her name as signifying "the mind of god", theou noesis. The Christian apologist of the 2nd century Justin Martyr takes issue with those pagans who erect at springs images of Kore, whom he interprets as Athena:
"They said that Athena was the daughter of Zeus not from intercourse, but when the god had in mind the making of a world through a word (logos) his first thought was Athena".[20]
Other origin tales
Some origin stories tell of Athena having been born outside of Olympus and raised by the god