Is Athens Safe?

We have been here for two days now. What amazes me is that it all seems so quiet and normal. The day we left there was a violent looking picture on the front page of the newspaper. The evening we arrived we went out to eat at an amazing spot next to the Acropolis. The next day we went on one of those two story tours around the city. We ran into a protest and a little later we went to Syntagma Square where there was a tent city of people protesting about the economic situation here. Look at the video to see the contrast!