The abstract theory governing Python functions and methods centers on the mechanism of type conversion and method invocation within a dynamically typed object-oriented environment. Functions are defined as callable entities that map inputs to outputs via arguments and return values, while methods are specialized functions bound to specific object instances to perform stateless or stateful operations on that object's data. This concept establishes the formal distinction between global utility functions and instance-specific operations, defining the rules for argument passing, default return values (such as None), and the constraints of type-specific method availability.
Prerequisite chain context: requires Python Built-in Type Conversion using the int and str Functions.