Looking at your post it seems that your using only one router, hence the E0 and E1. Routers know about directly connected interfaces. So without having any routing protocols turned or or static routes, you should be able to ping from E0 to E1. If not, please post your configuration.
"I can picture a world without war. A world without hate. A world without fear. And I can picture us attacking that world, because they'd never expect it."
- Jack Handey, Deep Thoughts