In a way, it's nice to know that there are Greek gods out there, because you have somebody to blame when things go wrong. For instance, when you're walking away from a bus that's just been attacked by monster hags and blown up by lightning, and it's raining on top of everything else, most people might think that's just really bad luck; when you're a half-blood, you understand that some devine force is really trying to mess up your day.
