The "global" keyword in Python binds a name to the scope of the top level of the enclosing module. The "nonlocal" keyword is a Python 3.x feature which binds a name to the next enclosing scope level.

So you would do:

    a = 1

    def contrived():
        global a    # I added this
        a = 2
        return a

    contrived() # 2
    a           # 2

The "nonlocal" keyword would give the same result if the outer scope is the top level of the module. If the entire above code is itself enclosed in a function like so:

    def enclose():
        a = 1

        def contrived():
            nonlocal a
            a = 2
            return a

        contrived() # 2
        a           # 2

You need "nonlocal" to refer to the "a" that's a local variable in enclose(). I.e. "global" gets you the top level, "nonlocal" gets you the next enclosing level.

The keyword is only necessary when you're assigning to an out-of-scope variable. If you remove the assignment statement "a = 2" from the function, the program will correctly read and return the value of a from the enclosing scope.

In other words, by default the set of names considered to be local variables in a function is the set of names that are the target of an assignment statement. Usually the default behavior is what you want, but if you wish to override it, use the "global" or "nonlocal" keyword.

From a design standpoint, I've learned over the years that global / nonlocal keywords are a "smell" that frequently indicates poor architecture, usually of the sort that the oft-cited "global variables are evil" doctrine is intended to protect against. Code that extensively uses these keywords should usually be refactored into a class, with the formerly global names instead being attributes (member variables).