Bob buys a house that turns out to be a financial drain. If he decides to burn it down one day, and has no intention of filing an insurance claim, is he guilty of any crime? Why or why not?

Joey's family owns several acres of property in the Pocono Mountains of Pennsylvania. Joey often hunts, hikes, and rides snowmobiles throughout the family property. One snowy afternoon, Joey rides his snowmobile onto the neighbor's property. If Joey is unaware that he crossed onto his neighbor's property, can he be guilty of trespassing? What if an old "No Trespassing" sign were nailed to a tree?