Galileo confirmed copernicus' theories on the universe with noting that the Earth did indeed revolve around the Sun and not the other way around as was thought at the time. With this he opposed the church dogma at the time.
The New Deal program that put young men to work was called the CCC or the Civilian Conservation Corps.
Westward expansion began with the Louisiana Purchase, (it was a movement of settlers into the American West.)
They hoped it could gain improvements through arbitration. Arbitration is essentially using a mediator to settle a dispute. Though arbitration usually refers to political disputes.