Is BioShock an open world video game?

It is non-linear, but not open world. Non-linear is a term that can be used for both open and non-open world games. Non-linear just means that there really isn't a set order you have to do things. Games like Medal of Honor and Devil May Cry are linear because every time you play the levels are the same setup with the same quest. Games like Bioshock and Assassin's Creed, you can pick to do a certain quest or action in the order you want making it non-linear. So it's non-linear, but not open world. Games like Fallout and Elder Scrolls are open world because it has a full game world to explore. So to end, all open world games are non-linear, but not all non-linear games are open world.