From what I have observed most public debate regarding science revolves around two issues:

1) Climate Change due to human influence on the environment
2) Evolution of life on Earth due to long term natural selection

How do you determine what to believe (or not) regarding these theories?
What kind of evidence would convince you to change your mind?
Why do you place trust (or not) in the consensus of the experts in these fields?
Given infinite resources, how would you determine the "truth"?