Final answer:
False, the Greek gods within Hesiod's Theogony did not have static relationships; instead, they had complex and dynamic alliances and conflicts, often within the same generation.
Step-by-step explanation:
False. In Hesiod's Theogony, it is not accurate to say that each generation of gods remains firmly allied and opposed to every other generation. The mythology of the Greek pantheon is marked by complex relationships, shifting alliances, and conflicts, not just among different generations of gods but within generations as well. For example, Zeus, who is at the top of the hierarchy, has a wife, Hera, who he often disrespects, indicating opposing interests within the same generation. The deities, influenced by the merging of different peoples with their own beliefs in early Greece, often engage in violent conflicts and power struggles, reflecting the diversity and dynamism in their relationships.