Final answer:
Hera, Apollo, Athena, and Ares are some of the major Greek gods, honored by the Greeks through various rituals. Philosophers like Socrates, Plato, and Aristotle used philosophy to understand the laws of the universe. Mathematicians and scientists like Pythagoras and Euclid contributed significantly to their fields.
Step-by-step explanation:
The major Greek gods in the pantheon included Hera, the goddess of marriage; Apollo, the god of the sun, music, and prophecy; Athena, the goddess of warfare and wisdom; and Ares, the god of war. Greeks honored their gods through sacrifices, rituals, and festivals that infused religious life into every aspect of their society. Greek philosophers, such as Socrates, Plato, and Aristotle, studied ethics, logic, metaphysics, and epistemology, using reason to understand the universe. Homer wrote epic poems celebrating the gods, and Herodotus is considered the "father of history." In terms of mathematics and science, Pythagoras is known for his theorem in geometry, Euclid for his work in the field, Thales of Miletus for his contributions to early science, and Hippocrates for his contributions to medicine.