Chapter 1: Understanding Recursion

Recursion is a fascinating concept in mathematics where a function calls itself in its definition. If not properly constrained, this self-referential process can lead to infinite loops.

To illustrate, the Fibonacci sequence can be defined recursively. This sequence begins with 1, 1, and continues as follows: 2, 3, 5, 8, 13, etc. The rule for generating the next number is straightforward: you add the two preceding numbers. Mathematically, this can be expressed as:

f(n) = f(n-1) + f(n-2)

with initial conditions of f(1) = 1 and f(2) = 1.

Fractals also exemplify infinite recursion, revealing complex patterns at varying scales. Notable examples include the Mandelbrot set and the Koch curve, both of which exhibit self-replicating structures.

When a computer executes a recursive function, it anticipates a terminating condition. For instance, implementing the Fibonacci function in Python using recursion could lead to an error:

def fibonacci_recursive(one_before, before):

current = one_before + before

fibonacci_recursive(before, current)

fibonacci_recursive(1, 1)

This results in a RecursionError: maximum recursion depth exceeded. Such errors occur when the call stack exceeds its allocated memory, causing the program to crash as the operating system halts its execution.

Chapter 2: The Human Mind's Recursive Nature

The human mind often feels fragmented, exhibiting conflicting desires and realities. For example, one might recognize their tendency towards laziness while simultaneously striving for productivity. Similarly, the desire to indulge in food can clash with dietary goals. At any given moment, these conflicting fragments exist alongside emotions such as fear, pleasure, and sadness.

Desire acts as a driving force, often leading individuals to escape from their current state. This escapism can manifest in various forms, including suppression, emotional outbursts, or self-help efforts. The underlying notion is that if one endures discomfort now, future pleasure and satisfaction may be attained.

Consider a recursive function where one parameter represents reality and the other symbolizes desire. Each recursive iteration reflects a moment interwoven with desire, creating a loop of self-conflicting thoughts and emotions. For instance, a person might feel genuine appreciation for their accomplishments (reality), yet simultaneously question their worthiness (desire) due to imposter syndrome. This internal conflict perpetuates into subsequent recursive cycles.

Our emotional experiences often resemble fractal patterns, repeating despite engaging in different actions. Winning a game, securing a romantic interest, or landing a dream job may yield similar conflicting patterns that undermine the joy of each moment.

What if desire were not permitted to replicate within this recursive framework, leaving reality as the sole parameter? In that case, individuals might experience moments fully as they occur, devoid of striving or conflict—perhaps leading to profound insights. This shift could eliminate the repetitive patterns associated with desire, resulting in a seamless flow of existence, both individually and collectively.

Addendum: Could death be perceived as exceeding the maximum recursion depth of the call stack?

The first video title is Recursion and Basic Recursive Thinking - YouTube. This video provides an overview of recursion fundamentals, illustrating how recursive functions operate and their significance in programming.

The second video title is The Power of Recursion - How To Think Code Clearly - YouTube. This video explores the practical applications of recursion in coding, emphasizing clear thinking and problem-solving strategies.