On the Philosophical Implications of the Ouroboros Spaces and Their Functions

Abstract

In this paper, I aim to articulate and investigate the philosophical implications and inherent symbolism surrounding the mathematical properties of Ouroboros spaces and their respective functions. Initially, I provide a brief historical background explaining how the symbol of the Ouroboros has been used and how it continues to be used as a term in mathematics. I then describe the philosophical symbolism and symbolic significance of the mathematical properties of the Ouroboros spaces and their functions, while offering an explanation as to why these concepts feel philosophically natural and intuitive. Following this discussion, I prove an aesthetically significant theorem that showcases the philosophical significance of the real Ouroboros functions. In closing, I articulate the interrelated, philosophical nature of these mathematical concepts, and describe how they impact other scientific fields both practically and philosophically.