Recursive Definitions

Recursive definitions describe concepts or objects in terms of themselves, using a base case to provide clarity. For example, consider defining a sequence like the Fibonacci numbers: the first two numbers are defined as 0 and 1, and each subsequent number is the sum of the two preceding ones. This method allows for complex ideas to be broken down into simpler parts and helps to define things in a structured yet flexible way, often leading to solutions or constructions that can be built step-by-step. Recursive definitions are common in mathematics, computer science, and logic.