Lisp (short for “LISt Processing”) is a family of programming languages, originally developed in the late 1950s by John McCarthy. Known for its unique, parenthesis-heavy syntax and powerful features for symbolic computation and recursive functions, Lisp has been influential in artificial intelligence research and the development of programming language theory.

Recursive functions are functions that call themselves to solve problems by breaking them down into simpler, similar subproblems. Each recursive call works on a smaller piece of the overall task, and a clearly defined base case stops the recursion once the simplest instance is reached, ensuring the process eventually terminates. This concept mirrors philosophical ideas of self-reference and reductionism, where complex wholes are understood in terms of simpler, self-similar parts.

One classic example is calculating a factorial. In Lisp, the factorial function can be defined recursively as follows:

(defun factorial (n) (if (<= n 1)

  1
  (* n (factorial (- n 1)))))

In this definition, if n is 1 or less (the base case), the function returns 1. Otherwise, it multiplies n by the factorial of (n-1), further breaking the problem into a simpler one until reaching the base case.