Python lets you store attributes of any name on virtually on any instance. It's possible to block this (either by writing the class in C).
The reason it works is that most instances store their attributes in a dictionary. The dictionary is stored in an instance attribute called __dict__. In fact, some people say "classes are just syntactic sugar for dictionaries." That is, you can do everything you can do with a class with a dictionary; classes just make it easier.
You're used to static languages where you must define all attributes at compile time. In Python, class definitions are executed, not compiled; classes are objects just like any other; and adding attributes is as easy as adding an item to a dictionary. This is by design.
Actually the mere fact is that there is no such thing as a declaration. That is, you never declare "this class has a method foo" or "instances of this class have an attribute bar", let alone making a statement about the types of objects to be stored there. You simply define a method, attribute, class, etc. and it's added.