Functional programming vs. "OO" programming (or, How to entirely miss the point)

Summed up:

...I can give my impressions of the funtional aspects of what I call free-floating functions.

What I mean by a free-floating function is a function that is not tied to a class. For example:

doSomething(thingToDo);

as opposed to

ThingDoer.doSomething(thingToDo);

The thing I've never liked about languages that allow free-floating functions is that they lead to sloppiness and confusion. Where does the magic non-name-spaced function exist? How can I access it? What do I need to import/include to get to it? What happens if there are different doSomething() funcions I want to use?